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Papers and Manuscripts

Bibtex Author Title Journal Published  
Carstensen, C.
Rabus, H.		 The adaptive nonconforming FEM for the pure displacement Problem in linear Elasticity is optimal and robust SIAM J. Numer. Anal., [accepted] 2012 [bibtex]
Carstensen, C.
Günther, D.
Rabus, H.		 Mixed finite element method for a degenerate convex variational problem from topolog optimization SIAM J. Numer. Anal., 50, 2, 522-543 2012 [bibtex]
Carstensen, C.
Rabus, H.		 An optimal adaptive mixed finite element method Math. Comp., 80, 274, 649-667 2011 [bibtex]
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Carstensen, C.
Hoppe, R.H.W.
Löbhard, C.
Eigel, M.		 A review of unified a posteriori finite element error control IMA Preprint Series, 2338 2010 [bibtex]
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Carstensen, C.
Ortner, Chr.		 Analysis of a class of penalty methods for computing singular minimizers CMAM, 10, 2, 137-163 2010 [bibtex]
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Carstensen, C.
Merdon, C.		 Estimator competition for Poisson problems J. Comput. Math., 28, 3, 309-330 2010 [bibtex]
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Carstensen, C.
Boiger, W.		 On strong convergence of gradients in stabilised degenerate convex minimisation problems SIAM J. Numer. Anal., 47, 6, 4569-4580 2010 [bibtex]
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Carstensen, C.
Jensen, M.
Gudi, Th.		 A unifying theory of a posteriori error control for discontinuous Galerkin FEM Numer. Math., 112, 3, 363-379 2009 [bibtex]
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Carstensen, C. Convergence of adaptive finite element methods in computational mechanics Appl. Numer. Math., 59, 9, 2119-2130 2009 [bibtex]
Carstensen, C.
Braess, D.
Hoppe, R.H.W.		 Error reduction in adaptive finite element approximations of elliptic obstacle problems J. Comput. Math., 27, 2-3, 148-169 2009 [bibtex]
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Carstensen, C.
Hu, Jun		 Hanging nodes in the unifying theory of a posteriori finite element error control J. Comput. Math., 27, 215-236 2009 [bibtex]
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Carstensen, C.
Aurich, J.C.
Biermann, D.
Blum, H.
Brecher, C.
Denkena, B.
Klocke, F.
Kröger, M.
Steinmann, P.
Weinert, K.		 Modelling and simulation of process - Machine interaction in grinding Production Engineering, 3, 1, 111-120 2009 [bibtex]
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Carstensen, C.
Hu, Jun		 A posteriori error analysis for conforming MITC elements for Reissner-Mindlin Plate Math. Comp., 77, 262, 611-632 2008 [bibtex]
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Carstensen, C.
Huth, Robert		 Computational challenges in finite plasticity from a mathematical view point Adelaide, Australia, ICTAM2008 Abstract Book and CD-ROM Proceedings 2008 [bibtex]
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Carstensen, C. Convergence of adaptive FEM for a class of degenerate convex minimisation problems IMA J. Numer. Anal., 28, 3, 423-439 2008 [bibtex]
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Carstensen, C.
Orlando, Antonio
Conti, S.		 Mixed analytical-numerical relaxation in finite single-slip crystal plasticity Contin. Mech. Thermodyn., 20, 5, 275-301 2008 [bibtex]
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Carstensen, C.
Rabus, H.		 New adaptive mixed finite element method (AMFEM) PAMM, 8, 1, 10049-10052 2008 [bibtex]
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Carstensen, C.
Brenner, S.C.
Monk, P.		 Nonstandard finite element methods. Abstracts from the workshop held 2008, August 10-16 MFO reports, 5, 3, 2027-2093 2008 [bibtex]
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Carstensen, C.
Thiele, Jan		 Partition of unity for localization in implicit a posteriori finite element error control for linear elasticity Internat. J. Numer. Methods Engrg., 73, 1, 71-95 2008 [bibtex]
Carstensen, C.
Thiele, Jan
Günther, D.
Reininghaus, Jan		 The Arnold-Winther mixed FEM in linear elasticity. Part I: Implementation and numerical verification Comput. Methods Appl. Mech. Engrg., 197, 3014-3023 2008 [bibtex]
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Carstensen, C.
Bartels, S.		 A convergent adaptive finite element method for an optimal design problem Numer. Math., 108, 3, 359-385 2007 [bibtex]
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Carstensen, C.
Gedicke, J.
Livshits, I.		 A posteriori error analysis for eigenvalue problems PAMM, 7, 1, 1026203-1026204 2007 [bibtex]
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Carstensen, C.
Hu, Jun		 A unifying theory of a posteriori error control for nonconforming finite element methods J. Numer. Math., 107, 3, 473--502 2007 [bibtex]
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Carstensen, C.
Bolte, J.		 Adaptive Finite Element Mesh-Refining Algorithm for L²-error control In: W.-B. Liu, M. Ng and Zhong-Ci Shi (ed.) Recent Progress in Scientific Computing: Science Press, 13--39 2007 [bibtex]
Carstensen, C.
Li, Zhi-Ping		 An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems BIT, 47, 3, 601--611 2007 [bibtex]
Carstensen, C.
Praetorius, D.		 Averaging techniques for a posteriori error control in finite element and boundary element analysis In: M. Schanz, O. Steinbach (ed.) Boundary Element Analysis: Springer 2007 [bibtex]
Carstensen, C.
Braess, D.
Hoppe, R.H.W.		 Convergence analysis of a conforming adaptive finite element method for an obstacle problem J. Numer. Math., 107, 3, 455--471 2007 [bibtex]
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Carstensen, C.
Orlando, Antonio
Hu, Jun		 Framework For The A Posteriori Error Analysis Of Nonconforming Finite Element SIAM J. Numer. Anal., 45, 1, 68-82 2007 [bibtex]
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Carstensen, C.
Praetorius, D.		 On stabilized models in micromagnetics Comput. Mech., 39, 5, 663-672 2007 [bibtex]
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Carstensen, C.
Valdman, J.
Orlando, Antonio		 A convergent adaptive finite element method for the primal problem of elastoplasticity Internat. J. Numer. Methods Engrg., 67, 13, 1851-1887 2006 [bibtex]
Carstensen, C.
Yan, N.
Liu, W.		 A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian SIAM J. Numer. Anal., 43, 6, 2294-2319 2006 [bibtex]
Carstensen, C.
Yan, N.
Liu, W.		 A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm Math. Comp., 75, 256, 1599-1616 2006 [bibtex]
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Carstensen, C.
Jensen, M.		 Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications CONM, 383, 15-34 2006 [bibtex]
Carstensen, C.
Hoppe, R.H.W.		 Convergence Analysis of an adaptive nonconforming finite element method Numer. Math., 103, 2, 251-266 2006 [bibtex]
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Carstensen, C.
Hoppe, R.H.W.		 Error Reduction and Convergence For An Adaptive Mixed Finite Element Method Math. Comp., 75, 255, 1033-1042 2006 [bibtex]
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Carstensen, C.
Bartels, S.
Hecht, A.		 P2Q2Iso2D=2D Isoparametric FEM in Matlab J. Comput. Appl. Math., 192, 219-250 2006 [bibtex]
Carstensen, C.
Bartels, S.
Hackl, K.
Orlando, Antonio
Hoppe, R.H.W.
Conti, S.		 Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics In: A. Mielke (ed.) Analysis, Modeling and Simulation of Multiscale Problems: Springer-Verlag, Berlin, 197--224 2006 [bibtex]
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Carstensen, C. Reliable and Efficient Averaging Techniques As Universal Tool For A Posteriori Finite Element Error Control On Unstructured Grids IJNAM, 3, 3, 333-347 2006 [bibtex]
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Carstensen, C.
Klose, R.
Orlando, Antonio		 Reliable and efficient equilibrated a posteriori error finite element error control in elastoplasticity and elastoviscoplasticity with hardening Comput. Methods Appl. Mech. Engrg., 195, 19-22, 2574-2598 2006 [bibtex]
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Carstensen, C.
Schöberl, J.		 Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method Numer. Math., 103, 2, 225-250 2006 [bibtex]
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Carstensen, C.
Sacco, R.
Causin, P.		 A posteriori dual-mixed adaptive finite element error control for Lame and Stokes equations Numer. Math., 101, 2, 309-332 2005 [bibtex]
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Carstensen, C.
Valdman, J.
Brokate, M.		 A quasi-static boundary value problem in multi-surface elastoplasticity: part 2 - numerical solution Math. Methods Appl. Sci., 28, 881-901 2005 [bibtex]
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Carstensen, C. A unifying theory of a posteriori finite element error control Numer. Math., 100, 4, 617-637 2005 [bibtex]
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Carstensen, C.
Praetorius, D.		 Averaging Techniques for the effective numerical solution of Symm's integral equation of the first kind SIAM J. Sci. Comput., 27, 4, 1226-1260 2005 [bibtex]
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Carstensen, C.
Hoppe, R.H.W.		 Convergence Analysis Of An Adaptive Edge Finite Element Method For The 2D Eddy Current Equations J. Numer. Math., 13, 1, 19-32 2005 [bibtex]
Carstensen, C.
Bartels, S.
Hackl, K.
Hoppe, R.H.W.		 Effective Relaxation for Microstructure Simulations: Algorithms and Applications Comput. Methods Appl. Mech. Engrg., 193, 5143-5175 2005 [bibtex]
Carstensen, C.
Praetorius, D.		 Effective simulation of a macroscopic model for stationary micromagnetics Comput. Methods Appl. Mech. Engrg., 194, 531-548 2005 [bibtex]
Carstensen, C. Estimation of higher Sobolev norm from lower order approximation SIAM J. Numer. Anal., 42, 5, 2136-2147 2005 [bibtex]
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Carstensen, C.
Tomov, S.
Lazarov, R.		 Explicit And Averaging A Posteriori Error Estimates For Adaptive Finite Volume Methods SIAM J. Numer. Anal., 42, 6, 2496-2521 2005 [bibtex]
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Carstensen, C.
Praetorius, D.		 Numerical Analysis for a Macroscopic Model in Micromagnetics SIAM J. Numer. Anal., 42 2005 [bibtex]
Carstensen, C. Numerische Lösungsverfahren für nichtkonvexe Probleme der Elastoplastizität In: F.G. Kollmann / G. Goittstein (ed.) Weitab vom Hookeschen Gesetz - Moderne Ansätze und Ingenieurpraxis grosser inelastischer Deformationen metallischer Werkstoffe, Vorträge des Symposiums vom 12.10.2004: Akademie der Wissenschaften und der Literatur, Mainz 2005 [bibtex]
Carstensen, C.
Orlando, Antonio		 Numerische Lösungsverfahren für nichtkonvexe Probleme der Elastoplastizität PAMM, 5, 1, 829-830 2005 [bibtex]
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Carstensen, C. Ten remarks on nonconvex minimisation for phase transition simulations Comput. Methods Appl. Mech. Engrg., 194, 169-193 2005 [bibtex]
Carstensen, C.
Bahriawati, C.		 Three matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control CMAM, 5, 4, 333-361 2005 [bibtex]
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Carstensen, C.
Sauter, S.A.		 A posteriori error analysis for elliptic PDEs on domains with complicated structures Numer. Math., 96, 691-721 2004 [bibtex]
Carstensen, C.
Valdman, J.
Brokate, M.		 A quasi-static boundary value problem in multi-surface elastoplasticity: Part 1 - Analysis Math. Methods Appl. Sci., 27, 1697-1710 2004 [bibtex]
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Carstensen, C. All first-order averaging techniques for a posteriori finite element error control on unstructured grids are effective and reliable Math. Comp., 73, 1153-1165 2004 [bibtex]
Carstensen, C.
Dolzmann, G.		 An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads Numer. Math., 97, 67-80 2004 [bibtex]
Carstensen, C. An adaptive mesh-refining algorithm allowing for an H¹-stable L²-projection onto Courant finite element spaces Constr. Approx., 20, 4, 549-564 2004 [bibtex]
Carstensen, C.
Bartels, S.		 Averaging techniques yield reliable a posteriori finite element error control for obstacle problems Numer. Math., 99, 2, 225-249 2004 [bibtex]
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Carstensen, C.
Plecháč, P.
Bartels, S.
Prohl, A.		 Convergence for stabilisation of degeneratly convex minimsation problems IFB, 6, 2, 253--269 2004 [bibtex]
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Carstensen, C.
Brenner, S.C.		 Finite Element Methods In: Encyclopedia of Computational Mechanics: John Wiley and Sons 2004 [bibtex]
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Carstensen, C.
Dolzmann, G.
Bartels, S.		 Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error anylysis Numer. Math., 99, 1, 1-24 2004 [bibtex]
Carstensen, C.
Praetorius, D.		 On Stabilized Models in Micromagnetics ECCOMAS, 2 2004 [bibtex]
Carstensen, C.
Stephan, E.P.
Maischak, M.
Praetorius, D.		 Residual-based a posteriori error estimate for hypersingular equation on surfaces Numer. Math., 97, 397-425 2004 [bibtex]
Carstensen, C. Some remarks on the history and future of averaging techniques in finite element error analysis ZAMM Z. Angew. Math. Mech., 84, 1, 3-21 2004 [bibtex]
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Carstensen, C.
Dolzmann, G.		 Time-space discretization of the nonlinear hyperbolic system $u_tt = div (sigma (Du) + Du_t)$ SIAM J. Numer. Anal., 42, 75--89 2004 [bibtex]
Carstensen, C.
Reddy, B.D.
Braess, D.		 Uniform convergence and a posteriori error estimators for the enhanced strain finite element method Numer. Math., 96, 461-479 2004 [bibtex]
Carstensen, C.
Rieger, M.O.		 Young-Measure approximations for elastodynamics with non-monotone stress-strain relations M2AN Math. Model. Numer. Anal., 38, 397-418 2004 [bibtex]
Carstensen, C.
Praetorius, D.		 Adaptive coolocation and qualocation boundary element schemes for a logarithmic-kernel integral equation of the first kind SIAM J. Sci. Comput., 25, 253-283 2003 [bibtex]
Carstensen, C.
Jochimsen, K.		 Adaptive finite element methods for microstructures? Numerical experiments for a 2-well benchmark Computing, 71, 175-204 2003 [bibtex]
Carstensen, C.
Weinberg, K.		 An adaptive non-conforming finite-element method for Reissner-Mindlin plates Internat. J. Numer. Methods Engrg., 56, 15, 2313-2330 2003 [bibtex]
Carstensen, C.
Alberty, J.		 Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening Comput. Methods Appl. Mech. Engrg., 192, 1435-1450 2003 [bibtex]
Carstensen, C.
Klose, R.		 Guaranteed a posteriori finite element error control for the p-Laplace problem SIAM J. Sci. Comput., 25, 792-814 2003 [bibtex]
Carstensen, C.
Rynne, B.P.		 A posteriori error control for finite element approximations of the integral equation for thin wire antennas ZAMM Z. Angew. Math. Mech., 82, 4, 284--288 2002 [bibtex]
Carstensen, C.
Bartels, S.
Jansche, S.		 A posteriori error estimates for nonconforming finite element methods Numer. Math., 92, 2, 233--256 2002 [bibtex]
Carstensen, C.
Alberty, J.		 Discontinuous Galerkin Time Discretization in Elastoplasticity: Motivation, Numerical Algorithms, and Applications Comput. Methods Appl. Mech. Engrg., 191, 43, 4949--4968 2002 [bibtex]
Carstensen, C.
Bartels, S.		 Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids part I: Low order conforming, nonconforming, and mixed FEM Math. Comp., 71, 239, 945-969 2002 [bibtex]
Carstensen, C.
Bartels, S.		 Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM Math. Comp., 71, 239, 971-994 2002 [bibtex]
Carstensen, C.
Klose, R.		 Elastoviscoplastic Finite Element Analysis in 100 lines of Matlab J. Numer. Math., 10, 3, 157--192 2002 [bibtex]
Carstensen, C.
Funken, S.A.
Alberty, J.
Klose, R.		 Matlab implementation of the finite element method in elasticity Computing, 69, 3, 239--263 2002 [bibtex]
Carstensen, C. Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomee criterion for H¹-stability of the L²-projection onto finite element spaces Math. Comp., 71, 237, 157-163 2002 [bibtex]
Carstensen, C.
Mielke, A.
Hackl, K.		 Nonconvex potentials and microstructures in finite-strain plasticity R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 458, 2018, 299--317 2002 [bibtex]
Carstensen, C.
Döllen, A.v.		 Numerische Schwingungssimulation - Modellierung und Algorithmen Math. Semesterber., 48, 2, 193-210, [In German] 2002 [bibtex]
Carstensen, C. Residual-based a posteriori error estimate for a nonconforming Reissner-Mindlin plate finite element SIAM J. Numer. Anal., 39, 6, 2034-2044 2002 [bibtex]
Carstensen, C.
Müller, S.		 Local stress regularity in scalar non convex variational problems SIAM J. Math. Anal., 34, 2, 495-509 2002 [bibtex]
Carstensen, C.
Funken, S.A.		 A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems Math. Comp., 70, 236, 1353-1381 2001 [bibtex]
Carstensen, C.
Stephan, E.P.
Maischak, M.		 A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation Numer. Math., 90, 2, 197--213 2001 [bibtex]
Carstensen, C.
Weinberg, K.		 Adaptive mixed finite element method for Reissner-Mindlin Plate Comput. Methods Appl. Mech. Engrg., 190, 51-52, 6895--6908 2001 [bibtex]
Carstensen, C.
Bartels, S.
Klose, R.		 An experimental survey of a posteriori Courant finite element error control for the Poisson equation Adv. Comput. Math., 15, 1-4, 79-106 2001 [bibtex]
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Carstensen, C.
Funken, S.A.		 Averaging technique for a posteriori error control in elasticity. Part III: Locking-free nonconforming FEM Comput. Methods Appl. Mech. Engrg., 191, 8-10, 861-877 2001 [bibtex]
Carstensen, C.
Funken, S.A.		 Averaging technique for FE - a posteriori error control in elasticity. Part II: $\lambda$-independent estimates Comput. Methods Appl. Mech. Engrg., 190, 35-36, 4663-4675 2001 [bibtex]
Carstensen, C.
Funken, S.A.		 Averaging technique for FE-a~posteriori error control in elasticity. Part I: Conforming FEM Comput. Methods Appl. Mech. Engrg., 190, 18-19, 2483-2498 2001 [bibtex]
Carstensen, C.
Faermann, B.		 Mathematical foundation of a~posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind EABE, 25, 7, 497-509 2001 [bibtex]
Carstensen, C.
Plecháč, P.		 Numerical analysis of a relaxed variational model of hysteresis in two-phase solids M2AN Math. Model. Numer. Anal., 35, 865-878 2001 [bibtex]
Carstensen, C. Numerical Analysis of Microstructure In: J.F. Blowey, J.P. Coleman and A.W. Craig (ed.) Theory and numerics of differential equations (Durham, 2000): Springer-Verlag, Berlin, 59--126 2001 [bibtex]
Carstensen, C.
Prohl, A.		 Numerical analysis of relaxed micromagnetics by penalised finite elements Numer. Math., 90, 1, 65--99 2001 [bibtex]
Carstensen, C.
Weinberg, K.		 Calculating the energy-norm FEM-Error for Reissner-Mindlin plates without known reference solution Comput. Mech., 26, 6, 566--570 2000 [bibtex]
Carstensen, C.
Funken, S.A.		 Constants in Clément-interpolation error and residual based a~posteriori estimates in finite element methods East-West J. Numer. Math., 8, 3, 153-175 2000 [bibtex]
Carstensen, C.
Funken, S.A.		 Coupling of mixed finite elements and boundary elements IMA J. Numer. Anal., 20, 3, 461-480 2000 [bibtex]
Carstensen, C.
Funken, S.A.
Dolzmann, G.
Helm, D.S.		 Locking-free mixed finite element methods in linear elasticity Comput. Methods Appl. Mech. Engrg., 190, 13-14, 1701-1781 2000 [bibtex]
Carstensen, C.
Plecháč, P.		 Numerical analysis of compatible phase transitions in elastic solids SIAM J. Numer. Anal., 37, 6, 2061-2081 2000 [bibtex]
Carstensen, C.
Alberty, J.		 Numerical analysis of time-depending primal elastoplasticity with hardening SIAM J. Numer. Anal., 37, 4, 1271-1294 2000 [bibtex]
Carstensen, C.
Roubíček, T.		 Numerical approximation of Young measures in non-convex variational problems Numer. Math., 84, 3, 395--415 2000 [bibtex]
Carstensen, C.
Zarrabi, D.
Hecht, A.		 Adaptive discretisation of shell problems. ZAMM Z. Angew. Math. Mech., 80, 2, 517-518 2000 [bibtex]
Carstensen, C.
Weinberg, K.		 Adaptive mixed finite element method for Reissner-Mindlin plates. ZAMM Z. Angew. Math. Mech., 80, 2, 559-560 2000 [bibtex]
Carstensen, C. Einführung in das Wissenschaftliche Rechnen (Introduction to Scientific Computing). Numerik gewöhnlicher Differentialgleichungen (Numerical treatment of ODEs)   2000 [bibtex]
Carstensen, C.
Plecháč, P.
Bartels, S.		 Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science In: A.-M. Sändig, W. Schiehlen, W. L. Wendland (ed.) Multifield problems. State of the Art.: Springer, Berlin, 69--79 2000 [bibtex]
Carstensen, C.
Prohl, A.		 Numerical analysis of a relaxed model in micromagnetics. ZAMM Z. Angew. Math. Mech., 80, 3, 821-822 2000 [bibtex]
Carstensen, C.
Zarrabi, D.
Alberty, J.		 Numerical analysis of primal elastoplasticity with hardening. ZAMM Z. Angew. Math. Mech., 80, 3, 831-832 2000 [bibtex]
Carstensen, C.
Hackl, K.		 On microstructures occuring in a model of finite-strain elastoplasticity involving a single slip-system. ZAMM Z. Angew. Math. Mech., 80, 2, 421-422 2000 [bibtex]
Carstensen, C.
Gwinner, J.		 A theory of discretisation for nonlinear evolution inequalities applied to parabolic Signorini problems Ann. Mat. Pura Appl. (4), 177, 363-394 1999 [bibtex]
Carstensen, C.
Wriggers, P.
Scherf, O.		 Adaptive finite elements for elastic bodies in contact SIAM J. Sci. Comput., 20, 5, 1605-1626 1999 [bibtex]
Carstensen, C.
Zarrabi, D.
Alberty, J.		 Adaptive numerical analysis in primal elastoplasticity with hardening Comput. Methods Appl. Mech. Engrg., 171, 3-4, 175-204 1999 [bibtex]
Carstensen, C.
Ball, J.M.		 Compatibility conditions for microstructures and the austenite-martensite transition MSE, 273-275, 231-236 1999 [bibtex]
Carstensen, C.
Funken, S.A.		 Coupling of nonconforming finite elements and boundary elements I: A priori estimates Computing, 62, 3, 229-241 1999 [bibtex]
Carstensen, C.
Funken, S.A.		 Coupling of nonconforming finite elements and boundary elements II: A posteriori estimates and adaptive mesh-refinement Computing, 62, 3, 243-259 1999 [bibtex]
Carstensen, C.
Verfürth, R.		 Edge residuals dominate a posteriori error estimates for low order finite element methods SIAM J. Numer. Anal., 36, 5, 1571-1587 1999 [bibtex]
Carstensen, C.
Funken, S.A.		 Fully reliable localised error control in the FEM SIAM J. Sci. Comput., 21, 4, 1465--1484 (electronic) 1999 [bibtex]
Carstensen, C. Numerical analysis of the primal problem of elastoplasticity with hardening Numer. Math., 82, 4, 577-597 1999 [bibtex]
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Carstensen, C. Quasi-interpolation and a posteriori error analysis in finite element method M2AN Math. Model. Numer. Anal., 33, 6, 1187-1202 1999 [bibtex]
Carstensen, C.
Funken, S.A.
Alberty, J.		 Remarks around 50 lines of Matlab: Short finite element implementation Numer. Algorithms, 20, 2-3, 117--137 1999 [bibtex]
Carstensen, C.
Funken, S.A.		 Fully reliable error control in the h-p-version of FEM. ZAMM Z. Angew. Math. Mech., 79, 1, 135-138 1999 [bibtex]
Carstensen, C.
Dolzmann, G.		 A posteriori error estimates for mixed FEM in elasticity Numer. Math., 81, 2, 187--209 1998 [bibtex]
Carstensen, C.
Plecháč, P.		 Adaptive algorithms for scalar non-convex variational problems Appl. Numer. Math., 26, 1-2, 203-216 1998 [bibtex]
Carstensen, C.
Jansche, S.		 An a posteriori estimate for nonconforming finite element methods. ZAMM Z. Angew. Math. Mech., 78, 3, 871-872 1998 [bibtex]
Carstensen, C.
Langer, U.
Kuhn, M.		 Fast parallel solvers for symmetric boundary element domain decomposition equations Numer. Math., 79, 3, 321-347 1998 [bibtex]
Carstensen, C. A posteriori error estimate for the mixed finite element method Math. Comp., 66, 218, 465-476 1997 [bibtex]
Carstensen, C.
Jansche, S.		 A posteriori error estimates and adaptive algorithms for mixed and Non-conform FEM. In: M. Feistauer, R. Rannacher, K. Kozel. (ed.) Numerical Modeling in Continuum Mechanics: 187--195 1997 [bibtex]
Carstensen, C.
Stephan, E.P.		 Adaptive boundary element methods for transmission problems J. Austral. Math. Soc. Ser. B, 38, 3, 336-367 1997 [bibtex]
Carstensen, C. An a posteriori error estimate for a first kind integral equation Math. Comp., 66, 217, 139-155 1997 [bibtex]
Carstensen, C. Domain decomposition for a non--smooth convex minimization problem and its application to plasticity Numer. Linear Algebra Appl., 4, 3, 177-190 1997 [bibtex]
Carstensen, C.
Gwinner, J.		 FEM and BEM coupling for a nonlinear transmission problem with Signorini contact SIAM J. Numer. Anal., 34, 5, 1845-1864 1997 [bibtex]
Carstensen, C.
Ball, J.M.		 Nonclassical austenite-martensite interfaces J. Phys., 7, C5, 35-40 1997 [bibtex]
Carstensen, C. Numerical analysis of the (relaxed) double well problem. In: H.G. Bock et al. (ed.) ENUMATH 97.: World Scientific Publishing, Singapore, New Jersey, 230-237, 1997 [bibtex]
Carstensen, C.
Plecháč, P.		 Numerical solution of the scalar double-well problem allowing microstructure Math. Comp., 66, 219, 997-1026 1997 [bibtex]
Carstensen, C.
Stephan, E.P.
Funken, S.A.		 On the adaptive coupling of FEM and BEM in 2-d-elasticity Numer. Math., 77, 2, 187-221 1997 [bibtex]
Carstensen, C.
Wriggers, P.		 On the symmetric boundary element method and the symmetric coupling of boundary elements and finite elements IMA J. Numer. Anal., 17, 2, 201-238 1997 [bibtex]
Carstensen, C. A posteriori error estimate for the symmetric coupling of finite elements and boundary elements Computing, 57, 4, 301-322 1996 [bibtex]
Carstensen, C.
Stephan, E.P.
Funken, S.A.		 A posteriori error estimates for hp--boundary element methods Appl.Anal., 61, 233-253 1996 [bibtex]
Carstensen, C.
Stephan, E.P.		 Adaptive boundary element methods for some first kind integral equations SIAM J. Numer. Anal., 33, 6, 2166-2183 1996 [bibtex]
Carstensen, C. Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening SIAM J. Numer. Anal., 33, 1, 171-207 1996 [bibtex]
Carstensen, C. Efficiency of a posteriori BEM error estimates for first kind integral equations on quasi-uniform meshes Math. Comp., 65, 213, 69-84 1996 [bibtex]
Carstensen, C. Numerical analysis of nonconvex minimization problems allowing microstructures. ZAMM Z. Angew. Math. Mech., 76, 2, 497-498 1996 [bibtex]
Carstensen, C.
Stephan, E.P.
Zarrabi, D.		 On the h-adaptive coupling of FE and BE for viscoplastic and elastoplastic interface problems J. Comput. Appl. Math., 75, 2, 345-363 1996 [bibtex]
Carstensen, C.
Beckermann, B.		 QD--type algorithms for the non-normal Newton-Padé approximation table Constr. Approx., 12, 3, 307-329 1996 [bibtex]
Stein, E.
Carstensen, C.
Brink, U.		 Symmetric coupling of boundary element and Raviart--Thomas--Type mixed finite elements in elastostatics Numer. Math., 75, 2, 153-174 1996 [bibtex]
Carstensen, C.
Stephan, E.P.		 A posteriori error estimates for boundary element methods Math. Comp., 64, 210, 483-500 1995 [bibtex]
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Carstensen, C. Adaptive boundary element methods and adaptive finite element and boundary element coupling. In: M. Costabel, M. Dauge, S. Nicaise (ed.) Boudary Value Problems and Integral Equations on Non-Smooth Domains.: Dekker, New York, 47-58, 1995 [bibtex]
Carstensen, C.
Stephan, E.P.		 Adaptive coupling of boundary elements and finite elements RAIRO Mod'el. Math. Anal. Num'er., 29, 7, 779-817 1995 [bibtex]
Carstensen, C.
Zarrabi, D.		 An a posteriori error estimate for the unsymmetric coupling of FEM and BEM. In: W. Hackbusch, G. Wittum (ed.) Numerical Treatment of Coupled Systems. Notes on Numerical Fluid Mechanics.: Vieweg-Verlag, Braunschweig, Wiesbaden, Germany., 25--36, 1995 [bibtex]
Carstensen, C.
Wriggers, P.
Scherf, O.		 An adaptive finite element method for frictionless contact problems. ZAMM Z. Angew. Math. Mech., 75, 1, 37-40 1995 [bibtex]
Carstensen, C.
Stephan, E.P.		 Coupling of FEM and BEM for a nonlinear interface problem: the h-p version Numer. Methods Partial Differential Equations, 11, 5, 539-554 1995 [bibtex]
Carstensen, C.
Mühlbach, G.
Schmidt, G.		 De Casteljau's algorithm is an extrapolation method Comput. Aided Geom. Design, 12, 4, 371-380 1995 [bibtex]
Carstensen, C.
Stephan, E.P.
Estep, D.		 h-adaptive boundary element schemes Comput. Mech., 15, 372-383 1995 [bibtex]
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Carstensen, C.
Stephan, E.P.		 Interface problems in elasto-viscoplasticity Quart. Appl. Math., 53, 4, 633-655 1995 [bibtex]
Carstensen, C. Numerical analysis of nonconvex minimization problems allowing microstructures. In: M. Feistauer, R. Rannacher, K. Kozel. (ed.) Numerical Modeling in Continuum Mechanics.: Faculty of Mathematics and Physics, Charles University, Prague, 1995 [bibtex]
Carstensen, C.
Petkovič, M.S.		 On a real measure of convergence of single step methods. In: D. Herceg, Lj. Cvetkovič (ed.) IX Conference on Applied Mathematics: Institut of Mathematics, Novi Sad, 101--110, 1995 [bibtex]
Carstensen, C.
Sakurai, T.		 Simultaneous factorization of a polynomial by rational approximation J. Comput. Appl. Math., 61, 2, 165-178 1995 [bibtex]
Carstensen, C.
Petkovič, M.S.
Trajkovic, M.		 Weierstrass formula and zero-finding methods Numer. Math., 69, 3, 353-372 1995 [bibtex]
Carstensen, C. A note on simultaneous rootfinding of algebraic, exponential and trigonometric polynomials Comput. Math. Appl., 27, 7, 7-14 1994 [bibtex]
Stein, E.
Carstensen, C.
Ohnimus, S.
Seifert, B.		 Adaptive finite element analysis of geometrically nonlinear plates and shells, especially buckling Internat. J. Numer. Methods Engrg., 37, 2631-2655 1994 [bibtex]
Carstensen, C.
Wriggers, P.
Scherf, O.		 Adaptive techniques for the contact of elastic bodies. In: T.J.R. Hughes, E. Onate, O.C. Zienkiewicz (ed.) Recent Developments in Finite Element Analysis: International Center for Numerical Methods in Engineering (CIMNE), Barcelona, 78-86 1994 [bibtex]
Carstensen, C.
Petkovič, M.S.		 An improvement of Gargantini's simultaneous inclusion method for polynomial roots by Schröder's correction Appl. Numer. Math., 13, 6, 453-468 1994 [bibtex]
Carstensen, C. Interface problems in viscoplasticity and plasticity SIAM J. Math. Anal., 25, 6, 1468-1487 1994 [bibtex]
Carstensen, C.
Petkovič, M.S.		 On root finding methods with corrections Serdica, 20, 2, 148-157 1994 [bibtex]
Carstensen, C. An interface problem in solid mechanics with a linear elastic and a hyperelastic material Math. Nachr., 163, 269-279 1993 [bibtex]
Carstensen, C.
Wagner, W.		 Detecting symmetry breaking bifurcation points of symmetric structures Internat. J. Numer. Methods Engrg., 36, 17, 3019--3039 1993 [bibtex]
Carstensen, C.
Beckermann, B.		 Global identities in the non-normal Newton-Pade approximation table J. Approx. Theory, 74, 2, 199-220 1993 [bibtex]
Carstensen, C. Interface problems in holonomic elastoplasticity Math. Methods Appl. Sci., 16, 11, 819-835 1993 [bibtex]
Carstensen, C. Nonlinear interface problems in solid mechanics - Finite element and boundary element coupling. <em>Habilitation Thesis</em>, <br> University of Hanover 1993 [bibtex]
Carstensen, C.
Reinders, M.		 On a class of higher order methods for simultaneous rootfinding of generalized polynomials Numer. Math., 64, 1, 69-84 1993 [bibtex]
Carstensen, C.
Petkovič, M.S.		 On iteration methods without derivatives for the simultaneous determination of polynomial zeros J. Comput. Appl. Math., 45, 3, 251-266 1993 [bibtex]
Carstensen, C.
Wriggers, P.		 On pertubation behaviour in nonlinear dynamics Comm. Numer. Methods Engrg., 9, 165-175 1993 [bibtex]
Carstensen, C. On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials BIT, 33, 1, 64-73 1993 [bibtex]
Carstensen, C.
Petkovič, M.S.		 On some interval methods for algebraic, trigonometric and exponential polynomials Computing, 51, 3-4, 313-326 1993 [bibtex]
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Carstensen, C.
Petkovič, M.S.		 Some improved inclusion methods for polynomial roots with Weierstraß' corrections Comput. Math. Appl., 25, 3, 59-67 1993 [bibtex]
Carstensen, C.
Beckermann, B.		 A reliable modification of the cross rule for rational Hermite interpolation Numer. Algorithms, 3, 1-4, 29-44 1992 [bibtex]
Carstensen, C.
Wriggers, P.		 An efficient algorithm for the computation of stability points of dynamical systems under step load Engrg. Comp., 6, 669-679 1992 [bibtex]
Carstensen, C. On Grau's method for simultaneous factorization of polynomials SIAM J. Numer. Anal., 29, 2, 601-613 1992 [bibtex]
Carstensen, C. On simultaneous factoring of a polynomial Internat. J. Comput. Math., 46, 51-61 1992 [bibtex]
Carstensen, C.
Mühlbach, G.		 The Neville-Aitken formula for rational interpolants with prescribed poles Numer. Algorithms, 3, 1-4, 133-141 1992 [bibtex]
Carstensen, C. Inclusion of the roots of a polynomial based on Gerschgorin's theorem Numer. Math., 59, 4, 349--360 1991 [bibtex]
Carstensen, C. Linear construction of companion matrices Linear Algebra Appl., 149, 191-214 1991 [bibtex]
Carstensen, C. On a general ρ-algorithm J. Comput. Appl. Math., 33, 1, 61-71 1990 [bibtex]
Stein, E.
Carstensen, C.		 Über die Falksche ECP-Transformation und Verallgemeinerungen ZAMM Z. Angew. Math. Mech., 69, 11, 375-391 1989 [bibtex]
Carstensen, C. Lineare Konstruktion und Anwendungen von Begleitmatrizen (Linear construction of companion matrices). <em>Ph.D. Thesis, University of Hanover </em> <br> Forschungs- und Seminarberichte aus dem Bereich der Mechanik der Universität Hannover, <b>F89/5</b>. 1989 [bibtex]
Carstensen, C. On a general epsilon algorithm. In: C. Brezinski (ed.) Numerical and Applied Mathematics: IMACS, 437-441 1989 [bibtex]
Carstensen, C. Zur theoretischen und numerischen Behandlung von Stabilitätsproblemen (Theory and numerical analysis of stability problems). <em> Diploma Thesis, Faculty of Civil Engineering</em>,<br> University of Hanover 1988, unpublished. 1988 [bibtex]
Stein, E.
Carstensen, C.		 Analysis und Berechnung der Falkschen ECP-Transformation und verwandte Probleme In: J. Albrecht et al. (ed.) Numerical Treatment of Eigenvalue Problems: Birkhäuser, Basel, 47-61 1987 [bibtex]
Carstensen, C. Konvergenzbeschleunigung mit nichtlinearen Verfahren (Acceleration of convergence with non-linear methods). <em>Diploma Thesis, Faculty of Mathematics</em>,<br> University of Hanover 1987, unpublished. 1987 [bibtex]