Carsten Carstensen
Affiliations:- Humboldt University of Berlin, Germany
According to our database1,
Carsten Carstensen
authored at least 155 papers
between 1992 and 2024.
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Bibliography
2024
Numerische Mathematik, June, 2024
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation.
J. Num. Math., March, 2024
Numerische Mathematik, February, 2024
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity.
SIAM J. Numer. Anal., 2024
Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains.
CoRR, 2024
2023
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes.
SIAM J. Numer. Anal., October, 2023
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems.
Numerische Mathematik, August, 2023
Numerische Mathematik, August, 2023
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian.
SIAM J. Numer. Anal., April, 2023
Numerische Mathematik, March, 2023
2022
Numerische Mathematik, 2022
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs.
Numerische Mathematik, 2022
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems.
Numerische Mathematik, 2022
Parameter-free implementation of the quadratic C<sup>0</sup> interior penalty method for the biharmonic equation.
CoRR, 2022
Comput. Math. Appl., 2022
2021
Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems.
SIAM J. Numer. Anal., 2021
SIAM J. Numer. Anal., 2021
Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates.
SIAM J. Numer. Anal., 2021
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method.
Numerische Mathematik, 2021
CoRR, 2021
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides.
CoRR, 2021
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., 2021
Comput. Methods Appl. Math., 2021
Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates.
Comput. Math. Appl., 2021
2020
SIAM J. Numer. Anal., 2020
Collective marking for adaptive least-squares finite element methods with optimal rates.
Math. Comput., 2020
2019
Numerische Mathematik, 2019
Numerische Mathematik, 2019
Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems.
Comput. Methods Appl. Math., 2019
2018
SIAM J. Numer. Anal., 2018
Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes.
SIAM J. Numer. Anal., 2018
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions.
SIAM J. Numer. Anal., 2018
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation.
Comput. Methods Appl. Math., 2018
2017
SIAM J. Numer. Anal., 2017
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., 2017
Numerische Mathematik, 2017
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates.
Numerische Mathematik, 2017
Comput. Math. Appl., 2017
-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates.
Comput. Math. Appl., 2017
2016
Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity.
SIAM J. Numer. Anal., 2016
Numerische Mathematik, 2016
Numerische Mathematik, 2016
The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis.
Numerische Mathematik, 2016
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems.
Numerische Mathematik, 2016
Reliable Averaging for the Primal Variable in the Courant FEM and Hierarchical Error Estimators on Red-Refined Meshes.
Comput. Methods Appl. Math., 2016
Breaking spaces and forms for the DPG method and applications including Maxwell equations.
Comput. Math. Appl., 2016
2015
SIAM J. Numer. Anal., 2015
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable.
Numerische Mathematik, 2015
Math. Comput., 2015
Convergence of adaptive finite element methods for a nonconvex double-well minimization problem.
Math. Comput., 2015
Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates.
J. Sci. Comput., 2015
Comput. Methods Appl. Math., 2015
2014
SIAM J. Numer. Anal., 2014
An adaptive finite element method with asymptotic saturation for eigenvalue problems.
Numerische Mathematik, 2014
Numerische Mathematik, 2014
Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem.
Comput. Methods Appl. Math., 2014
A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes.
Comput. Math. Appl., 2014
A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions.
Adv. Model. Simul. Eng. Sci., 2014
2013
SIAM J. Numer. Anal., 2013
Numerische Mathematik, 2013
Numerische Mathematik, 2013
Numerische Mathematik, 2013
A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles.
Numerische Mathematik, 2013
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem.
J. Comput. Appl. Math., 2013
2012
Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem.
SIAM J. Sci. Comput., 2012
The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust.
SIAM J. Numer. Anal., 2012
SIAM J. Numer. Anal., 2012
Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization.
SIAM J. Numer. Anal., 2012
An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity.
SIAM J. Numer. Anal., 2012
P<sub>1</sub>-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals.
SIAM J. Numer. Anal., 2012
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy.
J. Num. Math., 2012
2011
A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem.
SIAM J. Numer. Anal., 2011
Numerische Mathematik, 2011
Numerische Mathematik, 2011
2010
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems.
SIAM J. Numer. Anal., 2010
Comput. Methods Appl. Math., 2010
2009
Prod. Eng., 2009
Numerische Mathematik, 2009
Unified framework for an <i>a posteriori</i> error analysis of non-standard finite element approximations of H(curl)-elliptic problems.
J. Num. Math., 2009
2008
Numerische Mathematik, 2008
A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates.
Math. Comput., 2008
2007
Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions.
SIAM J. Sci. Comput., 2007
SIAM J. Numer. Anal., 2007
A unifying theory of a posteriori error control for nonconforming finite element methods.
Numerische Mathematik, 2007
Convergence analysis of a conforming adaptive finite element method for an obstacle problem.
Numerische Mathematik, 2007
2006
Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind.
SIAM J. Sci. Comput., 2006
A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian.
SIAM J. Numer. Anal., 2006
Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method.
Numerische Mathematik, 2006
Numerische Mathematik, 2006
Math. Comput., 2006
Math. Comput., 2006
2005
SIAM J. Numer. Anal., 2005
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods.
SIAM J. Numer. Anal., 2005
SIAM J. Numer. Anal., 2005
A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations.
Numerische Mathematik, 2005
Numerische Mathematik, 2005
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations.
J. Num. Math., 2005
2004
Time-Space Discretization of the Nonlinear Hyperbolic System u<sub>tt</sub> = div (\sigma(Du)+ Du<sub>t</sub>).
SIAM J. Numer. Anal., 2004
A posteriori error analysis for elliptic pdes on domains with complicated structures.
Numerische Mathematik, 2004
Numerische Mathematik, 2004
An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads.
Numerische Mathematik, 2004
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method.
Numerische Mathematik, 2004
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis.
Numerische Mathematik, 2004
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems.
Numerische Mathematik, 2004
All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable.
Math. Comput., 2004
2003
A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind.
SIAM J. Sci. Comput., 2003
SIAM J. Sci. Comput., 2003
Adaptive Finite Element Methods for Microstructures? Numerical Experiments for a 2-Well Benchmark.
Computing, 2003
2002
Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element.
SIAM J. Numer. Anal., 2002
SIAM J. Math. Anal., 2002
Numerische Mathematik, 2002
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., 2002
Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H<sup>1</sup>-stability of the L<sup>2</sup>-projection onto finite element spaces.
Math. Comput., 2002
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM.
Math. Comput., 2002
J. Num. Math., 2002
2001
Numerische Mathematik, 2001
A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation.
Numerische Mathematik, 2001
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems.
Math. Comput., 2001
An experimental survey of a posteriori Courant finite element error control for the Poisson equation.
Adv. Comput. Math., 2001
2000
SIAM J. Numer. Anal., 2000
SIAM J. Numer. Anal., 2000
Numerische Mathematik, 2000
1999
Numerische Mathematik, 1999
Numer. Algorithms, 1999
Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement.
Computing, 1999
Coupling of Nonconforming Finite Elements and Boundary Elements I: A Priori Estimates.
Computing, 1999
1998
Numerische Mathematik, 1998
1997
Domain decomposition for a non-smooth convex minimization problem and its application to plasticity.
Numer. Linear Algebra Appl., 1997
Math. Comput., 1997
Math. Comput., 1997
1996
Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes.
Math. Comput., 1996
A Posteriori Error Estimate for the Symmetric Coupling of Finite Elements and Boundary Elements.
Computing, 1996
1995
1993
Computing, 1993
1992
Numer. Algorithms, 1992
Numer. Algorithms, 1992