Carsten Carstensen

180 papers Journal 180

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Crouzeix-Raviart finite elements for lower energy bounds in Ginzburg-Landau-type minimisation. Comput. Math. Appl. Carsten Carstensen, Asha K. Dond, Ruma Rani Maity, Neela Nataraj
2025	J	`jnl`	A Note on the Quasi-Best Approximation Constant. Comput. Methods Appl. Math. Carsten Carstensen
2025	J	`jnl`	Adaptive Morley FEM for 2D stationary Navier-Stokes. Math. Comput. Carsten Carstensen, Benedikt Gräßle
2025	J	`jnl`	Locking-Free Hybrid High-Order Method for Linear Elasticity. SIAM J. Numer. Anal. Carsten Carstensen, Ngoc Tien Tran
2025	J	`jnl`	Non-augmented velocity-vorticity-pressure formulation for the Navier-Stokes-Brinkman-Forchheimer problem. CoRR Santiago Badia, Carsten Carstensen, Alberto F. Martín, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
2025	J	`jnl`	Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity. CoRR Carsten Carstensen, Norbert Heuer
2025	J	`jnl`	Normal-normal continuous symmetric stresses in mixed finite element elasticity. CoRR Carsten Carstensen, Norbert Heuer
2025	J	`jnl`	Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM. Math. Comput. Carsten Carstensen, Benedikt Gräßle
2024	J	`jnl`	A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. SIAM J. Numer. Anal. Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
2024	J	`jnl`	A fractional-order trace-dev-div inequality. CoRR Carsten Carstensen, Norbert Heuer
2024	J	`jnl`	Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. Numerische Mathematik Carsten Carstensen, Sophie Puttkammer
2024	J	`jnl`	Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. CoRR Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
2024	J	`jnl`	Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. Numerische Mathematik Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
2024	J	`jnl`	Local parameter selection in the C0 interior penalty method for the biharmonic equation. J. Num. Math. Philipp Bringmann, Carsten Carstensen, Julian Streitberger
2024	J	`jnl`	Locking-free hybrid high-order method for linear elasticity. CoRR Carsten Carstensen, Ngoc Tien Tran
2024	J	`jnl`	Normal-normal continuous symmetric stresses in mixed finite element elasticity. Math. Comput. Carsten Carstensen, Norbert Heuer
2024	J	`jnl`	Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains. CoRR Carsten Carstensen, Benedikt Gräßle
2024	J	`jnl`	Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. J. Num. Math. Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
2023	J	`jnl`	A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. CoRR Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
2023	J	`jnl`	Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian. SIAM J. Numer. Anal. Carsten Carstensen, Sophie Puttkammer
2023	J	`jnl`	Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. SIAM J. Numer. Anal. Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2023	J	`jnl`	Stabilization-free HHO a posteriori error control. Numerische Mathematik Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
2023	J	`jnl`	Two discretisations of the time-dependent Bingham problem. Numerische Mathematik Carsten Carstensen, Mira Schedensack
2023	J	`jnl`	Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. CoRR Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja
2023	J	`jnl`	Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. Numerische Mathematik Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja
2023	J	`jnl`	Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. CoRR Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
2022	J	`jnl`	A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Numerische Mathematik Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2022	J	`jnl`	Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. CoRR Carsten Carstensen, Sophie Puttkammer
2022	J	`jnl`	Convergent adaptive hybrid higher-order schemes for convex minimization. Numerische Mathematik Carsten Carstensen, Ngoc Tien Tran
2022	J	`jnl`	Critical functions and inf-sup stability of Crouzeix-Raviart elements. Comput. Math. Appl. Carsten Carstensen, Stefan A. Sauter
2022	J	`jnl`	Crouzeix-Raviart triangular elements are inf-sup stable. Math. Comput. Carsten Carstensen, Stefan A. Sauter
2022	J	`jnl`	Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2022	J	`jnl`	Parameter-free implementation of the quadratic C CoRR Philipp Bringmann, Carsten Carstensen, Julian Streitberger
2022	J	`jnl`	Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
2022	J	`jnl`	Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
2022	J	`jnl`	Stabilization-free HHO a posteriori error control. CoRR Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
2021	J	`jnl`	A Priori and a Posteriori Error Analysis of the Crouzeix-Raviart and Morley FEM with Original and Modified Right-Hand Sides. Comput. Methods Appl. Math. Carsten Carstensen, Neela Nataraj
2021	J	`jnl`	A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides. CoRR Carsten Carstensen, Neela Nataraj
2021	J	`jnl`	A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. CoRR Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
2021	J	`jnl`	Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates. SIAM J. Numer. Anal. Carsten Carstensen, Rui Ma
2021	J	`jnl`	Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. SIAM J. Numer. Anal. Carsten Carstensen, Neela Nataraj
2021	J	`jnl`	Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. Comput. Math. Appl. Carsten Carstensen, Rui Ma
2021	J	`jnl`	Convergent adaptive hybrid higher-order schemes for convex minimization. CoRR Carsten Carstensen, Ngoc Tien Tran
2021	J	`jnl`	Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements. CoRR Carsten Carstensen, Stefan A. Sauter
2021	J	`jnl`	Crouzeix-Raviart triangular elements are inf-sup stable. CoRR Carsten Carstensen, Stefan A. Sauter
2021	J	`jnl`	Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. CoRR Carsten Carstensen, Sophie Puttkammer
2021	J	`jnl`	Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. Numerische Mathematik Carsten Carstensen, Alexandre Ern, Sophie Puttkammer
2021	J	`jnl`	Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. Comput. Methods Appl. Math. Carsten Carstensen, Jun Hu
2021	J	`jnl`	Lower-order equivalent nonstandard finite element methods for biharmonic plates. CoRR Carsten Carstensen, Neela Nataraj
2021	J	`jnl`	Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. Carsten Carstensen, Ngoc Tien Tran
2020	J	`jnl`	A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds. SIAM J. Numer. Anal. Carsten Carstensen, Qilong Zhai, Ran Zhang
2020	J	`jnl`	Collective marking for adaptive least-squares finite element methods with optimal rates. Math. Comput. Carsten Carstensen
2020	J	`jnl`	Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja
2020	J	`jnl`	Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems. CoRR Carsten Carstensen, Ngoc Tien Tran
2019	J	`jnl`	Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. CoRR Carsten Carstensen, Neela Nataraj
2019	J	`jnl`	Convergence of \(\text{ dG(1) }\) in elastoplastic evolution. Numerische Mathematik Carsten Carstensen, Dongjie Liu, Jochen Alberty
2019	J	`jnl`	Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems. Comput. Methods Appl. Math. Carsten Carstensen, Asha K. Dond, Hella Rabus
2019	J	`jnl`	Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM. Numerische Mathematik Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke
2018	J	`jnl`	A low-order discontinuous Petrov-Galerkin method for the Stokes equations. Numerische Mathematik Carsten Carstensen, Sophie Puttkammer
2018	J	`jnl`	An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates. SIAM J. Numer. Anal. Philipp Bringmann, Carsten Carstensen, Gerhard Starke
2018	J	`jnl`	Asymptotic Exactness of the Least-Squares Finite Element Residual. SIAM J. Numer. Anal. Carsten Carstensen, Johannes Storn
2018	J	`jnl`	Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation. Comput. Methods Appl. Math. Carsten Carstensen, Friederike Hellwig
2018	J	`jnl`	Nonlinear discontinuous Petrov-Galerkin methods. Numerische Mathematik Carsten Carstensen, Philipp Bringmann, Friederike Hellwig, Peter Wriggers
2018	J	`jnl`	Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes. SIAM J. Numer. Anal. Carsten Carstensen, Friederike Hellwig
2018	J	`jnl`	Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
2017	J	`jnl`	-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. Comput. Math. Appl. Philipp Bringmann, Carsten Carstensen
2017	J	`jnl`	An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. Numerische Mathematik Philipp Bringmann, Carsten Carstensen
2017	J	`jnl`	Axioms of Adaptivity with Separate Marking for Data Resolution. SIAM J. Numer. Anal. Carsten Carstensen, Hella Rabus
2017	J	`jnl`	Convergence of natural adaptive least squares finite element methods. Numerische Mathematik Carsten Carstensen, Eun-Jae Park, Philipp Bringmann
2017	J	`jnl`	Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem. SIAM J. Numer. Anal. Carsten Carstensen, Karoline Köhler
2017	J	`jnl`	Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
2016	J	`jnl`	A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Numerische Mathematik Carsten Carstensen, B. Daya Reddy, Mira Schedensack
2016	J	`jnl`	An optimal adaptive finite element method for elastoplasticity. Numerische Mathematik Carsten Carstensen, Andreas Schröder, Sebastian Wiedemann
2016	J	`jnl`	Breaking spaces and forms for the DPG method and applications including Maxwell equations. Comput. Math. Appl. Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
2016	J	`jnl`	Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani
2016	J	`jnl`	Justification of the saturation assumption. Numerische Mathematik Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke
2016	J	`jnl`	Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity. SIAM J. Numer. Anal. Carsten Carstensen, Friederike Hellwig
2016	J	`jnl`	Reliable Averaging for the Primal Variable in the Courant FEM and Hierarchical Error Estimators on Red-Refined Meshes. Comput. Methods Appl. Math. Carsten Carstensen, Martin Eigel
2016	J	`jnl`	The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis. Numerische Mathematik Carsten Carstensen, Daniel Peterseim, Andreas Schröder
2015	J	`jnl`	Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. Math. Comput. Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
2015	J	`jnl`	An Optimal Adaptive Finite Element Method for an Obstacle Problem. Comput. Methods Appl. Math. Carsten Carstensen, Jun Hu
2015	J	`jnl`	Convergence and Optimality of Adaptive Least Squares Finite Element Methods. SIAM J. Numer. Anal. Carsten Carstensen, Eun-Jae Park
2015	J	`jnl`	Convergence of adaptive finite element methods for a nonconvex double-well minimization problem. Math. Comput. Carsten Carstensen, Georg Dolzmann
2015	J	`jnl`	Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates. J. Sci. Comput. Paulo Rafael Bösing, Carsten Carstensen
2015	J	`jnl`	Nonconforming FEMs for an Optimal Design Problem. SIAM J. Numer. Anal. Carsten Carstensen, Dongjie Liu
2015	J	`jnl`	Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. Numerische Mathematik Paulo Rafael Bösing, Carsten Carstensen
2014	J	`jnl`	A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan
2014	J	`jnl`	A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes. Comput. Math. Appl. Carsten Carstensen, Dietmar Gallistl, Jun Hu
2014	J	`jnl`	A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions. Adv. Model. Simul. Eng. Sci. Wolfgang Boiger, Carsten Carstensen
2014	J	`jnl`	An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
2014	J	`jnl`	Axioms of adaptivity. Comput. Math. Appl. Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius
2014	J	`jnl`	Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem. Comput. Methods Appl. Math. Carsten Carstensen, Christian Merdon
2014	J	`jnl`	Guaranteed lower bounds for eigenvalues. Math. Comput. Carsten Carstensen, Joscha Gedicke
2014	J	`jnl`	Guaranteed lower eigenvalue bounds for the biharmonic equation. Numerische Mathematik Carsten Carstensen, Dietmar Gallistl
2014	J	`jnl`	Low-order dPG-FEM for an elliptic PDE. Comput. Math. Appl. Carsten Carstensen, Dietmar Gallistl, Friederike Hellwig, Lucy Weggler
2014	J	`jnl`	Refined Fully Explicit a Posteriori Residual-Based Error Control. SIAM J. Numer. Anal. Carsten Carstensen, Christian Merdon
2013	J	`jnl`	A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. Numerische Mathematik Carsten Carstensen, Dietmar Gallistl, Jun Hu
2013	J	`jnl`	Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. J. Comput. Appl. Math. Carsten Carstensen, Christian Merdon
2013	J	`jnl`	Discrete Reliability for Crouzeix-Raviart FEMs. SIAM J. Numer. Anal. Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
2013	J	`jnl`	Effective postprocessing for equilibration a posteriori error estimators. Numerische Mathematik Carsten Carstensen, Christian Merdon
2013	J	`jnl`	Finite element network approximation of conductivity in particle composites. Numerische Mathematik Daniel Peterseim, Carsten Carstensen
2013	J	`jnl`	Optimal adaptive nonconforming FEM for the Stokes problem. Numerische Mathematik Carsten Carstensen, Daniel Peterseim, Hella Rabus
2013	J	`jnl`	Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations. SIAM J. Numer. Anal. Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
2012	J	`jnl`	An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity. SIAM J. Numer. Anal. Carsten Carstensen, Joscha Gedicke
2012	J	`jnl`	Comparison Results of Finite Element Methods for the Poisson Model Problem. SIAM J. Numer. Anal. Carsten Carstensen, Daniel Peterseim, Mira Schedensack
2012	J	`jnl`	Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization. SIAM J. Numer. Anal. Carsten Carstensen, David Günther, Hella Rabus
2012	J	`jnl`	Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem. SIAM J. Sci. Comput. Carsten Carstensen, Joscha Gedicke, Eun-Jae Park
2012	J	`jnl`	P SIAM J. Numer. Anal. Robert Altmann, Carsten Carstensen
2012	J	`jnl`	Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. J. Num. Math. Carsten Carstensen, Dirk Praetorius
2012	J	`jnl`	The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust. SIAM J. Numer. Anal. Carsten Carstensen, Hella Rabus
2011	J	`jnl`	A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem. SIAM J. Numer. Anal. Carsten Carstensen, Dongho Kim, Eun-Jae Park
2011	J	`jnl`	An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Numerische Mathematik Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
2011	J	`jnl`	An optimal adaptive mixed finite element method. Math. Comput. Carsten Carstensen, Hella Rabus
2011	J	`jnl`	An oscillation-free adaptive FEM for symmetric eigenvalue problems. Numerische Mathematik Carsten Carstensen, Joscha Gedicke
2010	J	`jnl`	Analysis of a Class of Penalty Methods for Computing Singular Minimizers. Comput. Methods Appl. Math. Carsten Carstensen, Christoph Ortner
2010	J	`jnl`	On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. Wolfgang Boiger, Carsten Carstensen
2009	J	`jnl`	A unifying theory of a posteriori error control for discontinuous Galerkin FEM. Numerische Mathematik Carsten Carstensen, Thirupathi Gudi, Max Jensen
2009	J	`jnl`	Modelling and simulation of process: machine interaction in grinding. Prod. Eng. Jan C. Aurich, Dirk Biermann, Heribert Blum, Christian Brecher, Carsten Carstensen, Berend Denkena, Fritz Klocke, Matthias Kröger, Paul Steinmann, Klaus Weinert
2009	J	`jnl`	Unified framework for an J. Num. Math. Carsten Carstensen, Ronald H. W. Hoppe
2008	J	`jnl`	A convergent adaptive finite element method for an optimal design problem. Numerische Mathematik Sören Bartels, Carsten Carstensen
2008	J	`jnl`	A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates. Math. Comput. Carsten Carstensen, Jun Hu
2007	J	`jnl`	A unifying theory of a posteriori error control for nonconforming finite element methods. Numerische Mathematik Carsten Carstensen, Jun Hu
2007	J	`jnl`	Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius
2007	J	`jnl`	Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Numerische Mathematik Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe
2007	J	`jnl`	Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements. SIAM J. Numer. Anal. Carsten Carstensen, Jun Hu, Antonio Orlando
2006	J	`jnl`	A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian. SIAM J. Numer. Anal. Carsten Carstensen, Wenbin Liu, Ningning Yan
2006	J	`jnl`	A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm. Math. Comput. Carsten Carstensen, Wenbin Liu, Ningning Yan
2006	J	`jnl`	Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius
2006	J	`jnl`	Convergence analysis of an adaptive nonconforming finite element method. Numerische Mathematik Carsten Carstensen, Ronald H. W. Hoppe
2006	J	`jnl`	Error reduction and convergence for an adaptive mixed finite element method. Math. Comput. Carsten Carstensen, R. H. W. Hoppe
2006	J	`jnl`	Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method. Numerische Mathematik Carsten Carstensen, Joachim Schöberl
2005	J	`jnl`	A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations. Numerische Mathematik Carsten Carstensen, Paola Causin, Riccardo Sacco
2005	J	`jnl`	A unifying theory of a posteriori finite element error control. Numerische Mathematik Carsten Carstensen
2005	J	`jnl`	Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. J. Num. Math. Carsten Carstensen, Ronald H. W. Hoppe
2005	J	`jnl`	Estimation of Higher Sobolev Norm from Lower Order Approximation. SIAM J. Numer. Anal. Carsten Carstensen
2005	J	`jnl`	Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods. SIAM J. Numer. Anal. Carsten Carstensen, Raytcho D. Lazarov, Stanimire Tomov
2005	J	`jnl`	Numerical Analysis for a Macroscopic Model in Micromagnetics. SIAM J. Numer. Anal. Carsten Carstensen, Dirk Praetorius
2004	J	`jnl`	A posteriori error analysis for elliptic pdes on domains with complicated structures. Numerische Mathematik Carsten Carstensen, Stefan A. Sauter
2004	J	`jnl`	All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable. Math. Comput. Carsten Carstensen
2004	J	`jnl`	An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads. Numerische Mathematik Carsten Carstensen, Georg Dolzmann
2004	J	`jnl`	Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Numerische Mathematik Sören Bartels, Carsten Carstensen
2004	J	`jnl`	Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Numerische Mathematik Sören Bartels, Carsten Carstensen, Georg Dolzmann
2004	J	`jnl`	Residual-based a posteriori error estimate for hypersingular equation on surfaces. Numerische Mathematik Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan
2004	J	`jnl`	Time-Space Discretization of the Nonlinear Hyperbolic System u SIAM J. Numer. Anal. Carsten Carstensen, Georg Dolzmann
2004	J	`jnl`	Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. Numerische Mathematik Dietrich Braess, Carsten Carstensen, B. Daya Reddy
2003	J	`jnl`	A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind. SIAM J. Sci. Comput. Carsten Carstensen, Dirk Praetorius
2003	J	`jnl`	A Posteriori Finite Element Error Control for the P-Laplace Problem. SIAM J. Sci. Comput. Carsten Carstensen, Roland Klose
2003	J	`jnl`	Adaptive Finite Element Methods for Microstructures? Numerical Experiments for a 2-Well Benchmark. Computing Carsten Carstensen, K. Jochimsen
2002	J	`jnl`	A posteriori error estimates for nonconforming finite element methods. Numerische Mathematik Carsten Carstensen, Sören Bartels, Stefan Jansche
2002	J	`jnl`	Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. Math. Comput. Carsten Carstensen, Sören Bartels
2002	J	`jnl`	Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. Math. Comput. Sören Bartels, Carsten Carstensen
2002	J	`jnl`	Elastoviscoplastic Finite Element analysis in 100 lines of Matlab. J. Num. Math. Carsten Carstensen, Roland Klose
2002	J	`jnl`	Local Stress Regularity in Scalar Nonconvex Variational Problems. SIAM J. Math. Anal. Carsten Carstensen, Stefan Müller
2002	J	`jnl`	Matlab Implementation of the Finite Element Method in Elasticity. Computing Jochen Alberty, Carsten Carstensen, Stefan A. Funken, Roland Klose
2002	J	`jnl`	Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H Math. Comput. Carsten Carstensen
2002	J	`jnl`	Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element. SIAM J. Numer. Anal. Carsten Carstensen
2001	J	`jnl`	A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems. Math. Comput. Carsten Carstensen, Stefan A. Funken
2001	J	`jnl`	A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation. Numerische Mathematik Carsten Carstensen, Matthias Maischak, Ernst P. Stephan
2001	J	`jnl`	An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Adv. Comput. Math. Carsten Carstensen, Sören Bartels, Roland Klose
2001	J	`jnl`	Numerical analysis of relaxed micromagnetics by penalised finite elements. Numerische Mathematik Carsten Carstensen, Andreas Prohl
2000	J	`jnl`	Numerical Analysis of Compatible Phase Transitions in Elastic Solids. SIAM J. Numer. Anal. Carsten Carstensen, Petr Plechác
2000	J	`jnl`	Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening. SIAM J. Numer. Anal. Jochen Alberty, Carsten Carstensen
2000	J	`jnl`	Numerical approximation of young measuresin non-convex variational problems. Numerische Mathematik Carsten Carstensen, Tomás Roubícek
1999	J	`jnl`	Adaptive Finite Elements for Elastic Bodies in Contact. SIAM J. Sci. Comput. Carsten Carstensen, Oliver Scherf, Peter Wriggers
1999	J	`jnl`	Coupling of Nonconforming Finite Elements and Boundary Elements I: A Priori Estimates. Computing Carsten Carstensen, Stefan A. Funken
1999	J	`jnl`	Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement. Computing Carsten Carstensen, Stefan A. Funken
1999	J	`jnl`	Fully Reliable Localized Error Control in the FEM. SIAM J. Sci. Comput. Carsten Carstensen, Stefan A. Funken
1999	J	`jnl`	Numerical analysis of the primal problem of elastoplasticity with hardening. Numerische Mathematik Carsten Carstensen
1999	J	`jnl`	Remarks around 50 lines of Matlab: short finite element implementation. Numer. Algorithms Jochen Alberty, Carsten Carstensen, Stefan A. Funken
1998	J	`jnl`	A posteriori error estimates for mixed FEM in elasticity. Numerische Mathematik Carsten Carstensen, Georg Dolzmann
1997	J	`jnl`	A posteriori error estimate for the mixed finite element method. Math. Comput. Carsten Carstensen
1997	J	`jnl`	An a posteriori error estimate for a first-kind integral equation. Math. Comput. Carsten Carstensen
1997	J	`jnl`	Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. Numer. Linear Algebra Appl. Carsten Carstensen
1997	J	`jnl`	Numerical solution of the scalar double-well problem allowing microstructure. Math. Comput. Carsten Carstensen, Petr Plechác
1996	J	`jnl`	A Posteriori Error Estimate for the Symmetric Coupling of Finite Elements and Boundary Elements. Computing Carsten Carstensen
1996	J	`jnl`	Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes. Math. Comput. Carsten Carstensen
1995	J	`jnl`	De Casteljau's algorithm is an extrapolation method. Comput. Aided Geom. Des. Carsten Carstensen, Günter W. Mühlbach, G. Schmidt
1993	J	`jnl`	On some interval methods for algebraic, exponential and trigonometric polynomials. Computing Carsten Carstensen, Miodrag S. Petkovic
1992	J	`jnl`	A reliable modification of the cross rule for rational Hermite interpolation. Numer. Algorithms Bernhard Beckermann, Carsten Carstensen
1992	J	`jnl`	The Neville-Aitken formula for rational interpolants with prescribed poles. Numer. Algorithms Carsten Carstensen, Günter W. Mühlbach