×

zbMATH — the first resource for mathematics

Carstensen, Carsten

Compute Distance To:
Author ID: carstensen.carsten Recent zbMATH articles by "Carstensen, Carsten"
Published as: Carstensen, C.; Carstensen, Carsten
Homepage: http://www2.mathematik.hu-berlin.de/~cc/cc_homepage/cc/education.shtml
External Links: MGP · ResearchGate · dblp · GND
Documents Indexed: 281 Publications since 1987, including 3 Books
all top 5

Co-Authors

42 single-authored
16 Funken, Stefan A.
13 Gallistl, Dietmar
12 Bartels, Sören
12 Gedicke, Joscha
11 Praetorius, Dirk
11 Stephan, Ernst Peter
9 Hoppe, Ronald H. W.
9 Merdon, Christian
9 Wriggers, Peter
8 Alberty, Jochen
8 Schedensack, Mira
7 Nataraj, Neela
7 Orlando, Antonio
7 Petković, Miodrag S.
7 Rabus, Hella
6 Bringmann, Philipp
6 Dolzmann, Georg
6 Hackl, Klaus
6 Klose, Roland
6 Peterseim, Daniel
6 Plecháč, Petr
5 Hellwig, Friederike
5 Park, Eun-Jae
5 Weinberg, Kerstin
5 Zarrabi, Darius
4 Braess, Dietrich
4 Demkowicz, Leszek F.
4 Hu, Jun
4 Stein, Erwin
3 Beckermann, Bernhard
3 Dond, Asha K.
3 Eigel, Martin
3 Gopalakrishnan, Jay
3 Hoppe, Ulrich
3 Köhler, Karoline
3 Pani, Amiya Kumar
3 Prohl, Andreas
3 Reddy, B. Dayanand
3 Scherf, Oliver
3 Valdman, Jan
2 Allix, Olivier
2 Boiger, Wolfgang
2 Bösing, Paulo Rafael
2 Brenner, Susanne Cecelia
2 Brokate, Martin
2 Conti, Sergio
2 Engquist, Bjorn E.
2 Günther, David
2 Gwinner, Joachim
2 Hecht, Axel
2 Hu, Jun
2 Jansche, Stefan
2 Jensen, Max
2 Liu, Dongjie
2 Liu, Steve Wenbin
2 Maischak, Matthias
2 Mallik, Gouranga
2 Mehrmann, Volker
2 Międlar, Agnieszka
2 Monk, Peter B.
2 Mühlbach, Günter W.
2 Puttkammer, Sophie
2 Schroder, Andreas
2 Schröder, Jörg
2 Thiele, Jan
2 Xie, Xiaoping
2 Yan, Ningning
2 Yu, Guozhu
1 Ainsworth, Mark
1 Altmann, Robert
1 Bahriawati, C.
1 Brink, Ulrich
1 Buffa, Annalisa
1 Carstensen, Christine
1 Causin, Paola
1 Dörfler, Willy
1 Ebobisse, François Bille
1 Estep, Donald J.
1 Faermann, Birgit
1 Feischl, Michael
1 Gerritsma, Marc I.
1 Gudi, Thirupathi
1 Hackbusch, Wolfgang
1 Helm, D. S.
1 Hu, Jun
1 Huang, Yunqing
1 Huth, Robert
1 Jochimsen, K.
1 Kim, Dongho
1 Krämer, Boris
1 Kuhn, Michael A.
1 Langer, Ulrich
1 Lazarov, Raytcho D.
1 Li, Zhiping
1 Löbhard, Caroline
1 McBride, Andrew T.
1 Mielke, Alexander
1 Müller, Stefan
1 Neumann, Johannes
1 Ohnimus, Stephan
...and 31 more Co-Authors
all top 5

Serials

46 Numerische Mathematik
36 SIAM Journal on Numerical Analysis
18 Computer Methods in Applied Mechanics and Engineering
18 Mathematics of Computation
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Computers & Mathematics with Applications
9 IMA Journal of Numerical Analysis
9 Oberwolfach Reports
7 SIAM Journal on Scientific Computing
7 Computational Methods in Applied Mathematics
6 Computing
6 Journal of Computational and Applied Mathematics
6 Journal of Computational Mathematics
6 PAMM. Proceedings in Applied Mathematics and Mechanics
5 International Journal for Numerical Methods in Engineering
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Applied Numerical Mathematics
4 Journal of Numerical Mathematics
3 Mathematical Methods in the Applied Sciences
3 Computational Mechanics
3 Numerical Methods for Partial Differential Equations
3 Numerical Algorithms
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 BIT
2 Constructive Approximation
2 SIAM Journal on Mathematical Analysis
2 Numerical Mathematics: Theory, Methods and Applications
1 Applicable Analysis
1 Journal of the Australian Mathematical Society, Series B
1 Mathematische Semesterberichte
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Approximation Theory
1 Mathematische Nachrichten
1 Quarterly of Applied Mathematics
1 Computer Aided Geometric Design
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Facta Universitatis. Series Mathematics and Informatics
1 Journal of Scientific Computing
1 Journal of Integral Equations and Applications
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Serdica
1 Studia Universitatis Babeş-Bolyai. Mathematica
1 Continuum Mechanics and Thermodynamics
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 East-West Journal of Numerical Mathematics
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 CISM International Centre for Mechanical Sciences. Courses and Lectures
1 Lecture Notes in Computational Science and Engineering

Publications by Year

Citations contained in zbMATH

241 Publications have been cited 3,225 times in 1,562 Documents Cited by Year
A posteriori error estimate for the mixed finite element method. Zbl 0864.65068
Carstensen, Carsten
120
1997
Non-convex potentials and microstructures in finite-strain plasticity. Zbl 1008.74016
Carstensen, Carsten; Hackl, Klaus; Mielke, Alexander
113
2002
Edge residuals dominate a posteriori error estimates for low order finite element methods. Zbl 0938.65124
Carstensen, Carsten; Verfürth, Rüdiger
72
1999
Axioms of adaptivity. Zbl 1350.65119
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D.
71
2014
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. Zbl 0997.65126
Carstensen, Carsten; Bartels, Sören
70
2002
Quasi-interpolation and a posteriori error analysis in finite element methods. Zbl 0948.65113
Carstensen, Carsten
57
1999
Remarks around 50 lines of Matlab: short finite element implementation. Zbl 0938.65129
Alberty, Jochen; Carstensen, Carsten; Funken, Stefan A.
57
1999
A posteriori error estimates for mixed FEM in elasticity. Zbl 0928.74093
Carstensen, Carsten; Dolzmann, Georg
48
1998
An a posteriori error estimate for a first-kind integral equation. Zbl 0854.65102
Carstensen, Carsten
48
1997
A unifying theory of a posteriori error control for nonconforming finite element methods. Zbl 1127.65083
Carstensen, C.; Hu, Jun
46
2007
A posteriori error estimates for nonconforming finite element methods. Zbl 1010.65044
Carstensen, Carsten; Bartels, Sören; Jansche, Stefan
45
2002
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
43
2016
A unifying theory of a posteriori finite element error control. Zbl 1100.65089
Carstensen, C.
42
2005
Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112
Carstensen, Carsten; Hoppe, R. H. W.
41
2006
Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control. Zbl 1086.65107
Bahriawati, C.; Carstensen, C.
41
2005
Framework for the a posteriori error analysis of nonconforming finite elements. Zbl 1165.65072
Carstensen, Carsten; Hu, Jun; Orlando, Antonio
38
2007
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Zbl 1063.65050
Bartels, S.; Carstensen, C.
38
2004
Numerical solution of the scalar double-well problem allowing microstructure. Zbl 0870.65055
Carstensen, Carsten; Plechác, Petr
36
1997
A posteriori error estimate and h-adaptive algorithm on surfaces from Symm’s integral equation. Zbl 1018.65138
Carstensen, C.; Maischak, M.; Stephan, E. P.
35
2001
A posteriori error estimates for boundary element methods. Zbl 0831.65120
Carstensen, Carsten; Stephan, Ernst P.
35
1995
Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102
Carstensen, Carsten; Hoppe, Ronald H. W.
34
2006
Weierstrass formula and zero-finding methods. Zbl 0821.65028
Petković, Miodrag S.; Carstensen, Carsten; Trajkovíc, Miroslav
34
1995
Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Zbl 1126.65058
Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W.
33
2007
Constants in Clément-interpolation error and residual based a posteriori error estimates in finite element methods. Zbl 0973.65091
Carstensen, C.; Funken, S. A.
33
2000
Effective relaxation for microstructure simulations: algorithms and applications. Zbl 1112.74501
Bartels, S.; Carstensen, C.; Hackl, K.; Hoppe, U.
32
2004
Guaranteed lower bounds for eigenvalues. Zbl 1320.65162
Carstensen, Carsten; Gedicke, Joscha
31
2014
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Zbl 1062.65113
Bartels, S.; Carstensen, C.; Dolzmann, G.
31
2004
Fully reliable localized error control in the FEM. Zbl 0956.65099
Carstensen, Carsten; Funken, Stefan A.
31
2000
Matlab implementation of the finite element method in elasticity. Zbl 1239.74092
Alberty, Jochen; Carstensen, Carsten; Funken, Stefan A.; Klose, Roland
30
2002
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems. Zbl 1014.76042
Carstensen, Carsten; Funken, Stefan A.
29
2001
Averaging technique for FE – a posteriori error control in elasticity. I: Conforming FEM. Zbl 0981.74063
Carstensen, Carsten; Funken, Stefan A.
29
2001
Guaranteed lower eigenvalue bounds for the biharmonic equation. Zbl 1298.65165
Carstensen, Carsten; Gallistl, Dietmar
27
2014
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Zbl 1063.65116
Carstensen, Carsten; Maischak, M.; Praetorius, D.; Stephan, E. P.
27
2004
Adaptive numerical analysis in primal elastoplasticity with hardening. Zbl 0956.74049
Alberty, Jochen; Carstensen, Carsten; Zarrabi, Darius
27
1999
A posteriori error control for DPG methods. Zbl 1320.65171
Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay
26
2014
An oscillation-free adaptive FEM for symmetric eigenvalue problems. Zbl 1227.65106
Carstensen, Carsten; Gedicke, Joscha
26
2011
Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112
Carstensen, C.; Lazarov, R.; Tomov, S.
26
2005
Adaptive coupling of boundary elements and finite elements. Zbl 0849.65083
Carstensen, Carsten; Stephan, Ernst P.
25
1995
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. Zbl 1050.65097
Braess, D.; Carstensen, C.; Reddy, B. D.
24
2004
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
24
2002
Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for \(H^1\)-stability of the \(L^2\)-projection onto finite element spaces. Zbl 0989.65123
Carstensen, Carsten
24
2002
Some improved inclusion methods for polynomial roots with Weierstrass’ corrections. Zbl 0776.65036
Petković, Miodrag S.; Carstensen, Carsten
24
1993
Adaptive boundary element methods for some first kind integral equations. Zbl 0863.65073
Carstensen, Carsten; Stephan, Ernst P.
23
1996
A priori and a posteriori pseudostress-velocity mixed finite element error analysis for the Stokes problem. Zbl 1232.65098
Carstensen, Carsten; Kim, Dongho; Park, Eun-Jae
22
2011
Averaging techniques for the effective numerical solution of Symm’s integral equation of the first kind. Zbl 1105.65124
Carstensen, Carsten; Praetorius, Dirk
22
2006
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
21
2012
On the adaptive coupling of FEM and BEM in 2-d elasticity. Zbl 0880.73062
Carstensen, C.; Funken, S. A.; Stephan, E. P.
21
1997
Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods. Zbl 1274.65290
Carstensen, Carsten; Gedicke, Joscha; Rim, Donsub
20
2012
All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable. Zbl 1067.65115
Carstensen, C.
20
2004
Numerical approximation of Young measures in non-convex variational problems. Zbl 0945.65070
Carstensen, Carsten; Roubíček, Tomáš
20
2000
Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes. Zbl 0849.65084
Carstensen, Carsten
20
1996
Some remarks on the history and future of averaging techniques in a posteriori finite element error analysis. Zbl 1073.65120
Carstensen, Carsten
19
2004
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. II: Higher order FEM. Zbl 0997.65127
Bartels, Sören; Carstensen, Carsten
19
2002
An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces. Zbl 1064.65143
Carstensen, Carsten
18
2004
A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems. Zbl 0954.65052
Carstensen, Carsten; Gwinner, Joachim
18
1999
Numerical analysis of the primal problem of elastoplasticity with hardening. Zbl 0947.74061
Carstensen, Carsten
18
1999
Adaptive finite elements for elastic bodies in contact. Zbl 0940.74058
Carstensen, C.; Scherf, O.; Wriggers, P.
18
1999
Comparison results of finite element methods for the Poisson model problem. Zbl 1261.65115
Carstensen, C.; Peterseim, D.; Schedensack, M.
17
2012
The arnold-winther mixed FEM in linear elasticity. I: Implementation and numerical verification. Zbl 1194.74374
Carstensen, C.; Günther, D.; Reininghaus, J.; Thiele, J.
17
2008
Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions. Zbl 1140.65089
Carstensen, Carsten; Praetorius, Dirk
17
2007
On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials. Zbl 0779.65030
Carstensen, Carsten
17
1993
An adaptive finite element eigenvalue solver of asymptotic quasi-optimal computational complexity. Zbl 1254.65123
Carstensen, Carsten; Gedicke, Joscha
16
2012
Computational competition of symmetric mixed FEM in linear elasticity. Zbl 1230.74172
Carstensen, C.; Eigel, M.; Gedicke, J.
16
2011
An optimal adaptive mixed finite element method. Zbl 1215.65173
Carstensen, Carsten; Rabus, Hella
16
2011
A unifying theory of a posteriori error control for discontinuous Galerkin FEM. Zbl 1169.65106
Carstensen, Carsten; Gudi, Thirupathi; Jensen, Max
16
2009
Locking-free adaptive mixed finite element methods in linear elasticity. Zbl 1004.74068
Carstensen, C.; Dolzmann, G.; Funken, S. A.; Helm, D. S.
16
2000
Fast parallel solvers for symmetric boundary element domain decomposition equations. Zbl 0907.65119
Carstensen, C.; Kuhn, M.; Langer, U.
16
1998
Interface problem in holonomic elastoplasticity. Zbl 0792.73017
Carstensen, Carsten
16
1993
Convergence and optimality of adaptive least squares finite element methods. Zbl 1327.65212
Carstensen, Carsten; Park, Eun-Jae
15
2015
Optimal adaptive nonconforming FEM for the Stokes problem. Zbl 1316.76046
Carstensen, Carsten; Peterseim, Daniel; Rabus, Hella
15
2013
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008
Carstensen, C.; Hoppe, R. H. W.
15
2005
Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544
Carstensen, C.; Klose, R.
15
2002
Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind. Zbl 1007.65100
Carstensen, C.; Faermann, B.
15
2001
Numerical analysis of compatible phase transitions in elastic solids. Zbl 1049.74062
Carstensen, Carsten; Plechác, Petr
15
2000
Low-order discontinuous Petrov-Galerkin finite element methods for linear elasticity. Zbl 06662514
Carstensen, C.; Hellwig, F.
14
2016
Quasi-optimal adaptive pseudostress approximation of the Stokes equations. Zbl 1383.76333
Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
14
2013
Estimator competition for Poisson problems. Zbl 1224.65253
Carstensen, C.; Merdon, C.
14
2010
Hanging nodes in the unifying theory of a posteriori finite element error control. Zbl 1212.65423
Carstensen, C.; Hu, Jun
14
2009
Numerical analysis of a relaxed variational model of hysteresis in two-phase solids. Zbl 1007.74062
Carstensen, Carsten; Plecháč, Petr
14
2001
Axioms of adaptivity with separate marking for data resolution. Zbl 1377.65147
Carstensen, C.; Rabus, H.
13
2017
A posteriori error estimators for convection-diffusion eigenvalue problems. Zbl 1295.65108
Gedicke, J.; Carstensen, C.
13
2014
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. Zbl 1285.65079
Carstensen, C.; Merdon, C.
13
2013
A posteriori finite element error control for the \(p\)-Laplace problem. Zbl 1050.65101
Carstensen, Carsten; Klose, R.
13
2003
Adaptive finite element methods for microstructures? Numerical experiments for a 2-well benchmark. Zbl 1090.74054
Carstensen, C.; Jochimsen, K.
13
2003
FEM and BEM coupling for a nonlinear transmission problem with Signorini contact. Zbl 0896.65079
Carstensen, Carsten; Gwinner, Joachim
13
1997
Symmetric coupling of boundary elements and Raviart-Thomas-type mixed finite elements in elastostatics. Zbl 0877.73063
Brink, Ulrich; Carstensen, Carsten; Stein, Erwin
13
1996
Adaptive finite element analysis of geometrically nonlinear plates and shells, especially buckling. Zbl 0809.73072
Stein, Erwin; Seifert, B.; Ohnimus, S.; Carstensen, Carsten
13
1994
On iteration methods without derivatives for the simultaneous determination of polynomial zeros. Zbl 0776.65033
Carstensen, Carsten; Petković, Miodrag S.
13
1993
A posteriori error estimate for the symmetric coupling of finite elements and boundary elements. Zbl 0863.65070
Carstensen, C.
12
1996
Inclusion of the roots of a polynomial based on Gerschgorin’s theorem. Zbl 0726.65053
Carstensen, C.
12
1991
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. Zbl 1311.65136
Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
11
2015
Low-order dPG-FEM for an elliptic PDE. Zbl 1364.65242
Carstensen, C.; Gallistl, D.; Hellwig, F.; Weggler, L.
11
2014
A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. Zbl 1225.74081
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao
11
2011
Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening. Zbl 1026.74067
Carstensen, Carsten; Alberty, Jochen
11
2003
Residual-based a posteriori error estimate for a nonconforming Reissner–Mindlin plate finite element. Zbl 1042.74049
Carstensen, Carsten
11
2002
Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. Zbl 0890.49015
Carstensen, C.
11
1997
Linear construction of companion matrices. Zbl 0717.15011
Carstensen, C.
11
1991
Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem. Zbl 1433.65254
Carstensen, Carsten; Nataraj, Neela; Pani, Amiya K.
10
2016
Medius analysis and comparison results for first-order finite element methods in linear elasticity. Zbl 1329.74272
Carstensen, C.; Schedensack, M.
10
2015
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106
Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka
10
2011
Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. Zbl 07315149
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
1
2021
How to prove the discrete reliability for nonconforming finite element methods. Zbl 07295184
Carstensen, Carsten; Puttkammer, Sophie
1
2020
Collective marking for adaptive least-squares finite element methods with optimal rates. Zbl 1426.65171
Carstensen, Carsten
1
2020
A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations. Zbl 07208101
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela
1
2019
Quasi-optimality of adaptive mixed FEMs for non-selfadjoint indefinite second-order linear elliptic problems. Zbl 1420.65108
Carstensen, Carsten; Dond, Asha K.; Rabus, Hella
1
2019
Nonlinear discontinuous Petrov-Galerkin methods. Zbl 1398.65292
Carstensen, C.; Bringmann, P.; Hellwig, F.; Wriggers, P.
7
2018
An adaptive least-squares FEM for linear elasticity with optimal convergence rates. Zbl 06838253
Bringmann, P.; Carstensen, C.; Starke, Gerhard
5
2018
Constants in discrete Poincaré and Friedrichs inequalities and discrete quasi-interpolation. Zbl 1401.65130
Carstensen, Carsten; Hellwig, Friederike
4
2018
A low-order discontinuous Petrov-Galerkin method for the Stokes equations. Zbl 1401.65131
Carstensen, Carsten; Puttkammer, Sophie
4
2018
Asymptotic exactness of the least-squares finite element residual. Zbl 1397.65230
Carstensen, Carsten; Storn, Johannes
4
2018
Optimal convergence rates for adaptive lowest-order discontinuous Petrov-Galerkin schemes. Zbl 1395.65140
Carstensen, Carsten; Hellwig, Friederike
2
2018
Three first-order finite volume element methods for Stokes equations under minimal regularity assumptions. Zbl 1412.65181
Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K.
1
2018
Axioms of adaptivity with separate marking for data resolution. Zbl 1377.65147
Carstensen, C.; Rabus, H.
13
2017
Nonconforming FEM for the obstacle problem. Zbl 1433.65284
Carstensen, C.; Köhler, K.
6
2017
Convergence of natural adaptive least squares finite element methods. Zbl 1378.65176
Carstensen, Carsten; Park, Eun-Jae; Bringmann, Philipp
6
2017
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. Zbl 1381.76156
Bringmann, P.; Carstensen, C.
5
2017
\(h\)-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. Zbl 1402.65150
Bringmann, P.; Carstensen, C.
1
2017
Flow relations and yield functions for dissipative strain-gradient plasticity. Zbl 1382.74023
Carstensen, Carsten; Ebobisse, François; McBride, Andrew T.; Reddy, B. Daya; Steinmann, Paul
1
2017
Efficient discrete Lagrange multipliers in three first-order finite element discretizations for the a posteriori error control in an obstacle problem. Zbl 1359.65101
Carstensen, C.; Köhler, K.
1
2017
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Zbl 1359.65249
Carstensen, C.; Demkowicz, L.; Gopalakrishnan, J.
43
2016
Low-order discontinuous Petrov-Galerkin finite element methods for linear elasticity. Zbl 06662514
Carstensen, C.; Hellwig, F.
14
2016
Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem. Zbl 1433.65254
Carstensen, Carsten; Nataraj, Neela; Pani, Amiya K.
10
2016
\(L^{2}\) best approximation of the elastic stress in the Arnold-Winther FEM. Zbl 1433.74102
Carstensen, C.; Gallistl, D.; Schedensack, M.
5
2016
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Zbl 1342.65214
Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K.
5
2016
Guaranteed velocity error control for the pseudostress approximation of the Stokes equations. Zbl 1401.76083
Bringmann, P.; Carstensen, C.; Merdon, C.
4
2016
The norm of a discretized gradient in \(H(\mathrm{div})^*\) for a posteriori finite element error analysis. Zbl 1352.65440
Carstensen, Carsten; Peterseim, Daniel; Schröder, Andreas
4
2016
Justification of the saturation assumption. Zbl 1348.65161
Carstensen, C.; Gallistl, D.; Gedicke, J.
3
2016
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Zbl 06566213
Carstensen, C.; Reddy, B. D.; Schedensack, M.
2
2016
Robust residual-based a posteriori Arnold-winther mixed finite element analysis in elasticity. Zbl 1425.74455
Carstensen, Carsten; Gedicke, Joscha
1
2016
Convergence and optimality of adaptive least squares finite element methods. Zbl 1327.65212
Carstensen, Carsten; Park, Eun-Jae
15
2015
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. Zbl 1311.65136
Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
11
2015
Medius analysis and comparison results for first-order finite element methods in linear elasticity. Zbl 1329.74272
Carstensen, C.; Schedensack, M.
10
2015
Comparison results for the Stokes equations. Zbl 1320.76062
Carstensen, C.; Köhler, K.; Peterseim, D.; Schedensack, M.
5
2015
An optimal adaptive finite element method for an obstacle problem. Zbl 1317.65232
Carstensen, Carsten; Hu, Jun
4
2015
Comparison results of nonstandard \(P_2\) finite element methods for the biharmonic problem. Zbl 1327.65211
Carstensen, Carsten; Gallistl, Dietmar; Nataraj, Neela
3
2015
Nonconforming FEMs for an optimal design problem. Zbl 1312.74036
Carstensen, C.; Liu, D. J.
3
2015
Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates. Zbl 1329.74269
Bösing, Paulo Rafael; Carstensen, Carsten
1
2015
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. Zbl 1401.65128
Bösing, Paulo Rafael; Carstensen, Carsten
1
2015
Axioms of adaptivity. Zbl 1350.65119
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D.
71
2014
Guaranteed lower bounds for eigenvalues. Zbl 1320.65162
Carstensen, Carsten; Gedicke, Joscha
31
2014
Guaranteed lower eigenvalue bounds for the biharmonic equation. Zbl 1298.65165
Carstensen, Carsten; Gallistl, Dietmar
27
2014
A posteriori error control for DPG methods. Zbl 1320.65171
Carstensen, Carsten; Demkowicz, Leszek; Gopalakrishnan, Jay
26
2014
A posteriori error estimators for convection-diffusion eigenvalue problems. Zbl 1295.65108
Gedicke, J.; Carstensen, C.
13
2014
Low-order dPG-FEM for an elliptic PDE. Zbl 1364.65242
Carstensen, C.; Gallistl, D.; Hellwig, F.; Weggler, L.
11
2014
A discrete Helmholtz decomposition with morley finite element functions and the optimality of adaptive finite element schemes. Zbl 1362.65123
Carstensen, Carsten; Gallistl, Dietmar; Hu, Jun
7
2014
Computational survey on a posteriori error estimators for the Crouzeix-Raviart nonconforming finite element method for the Stokes problem. Zbl 1285.65072
Carstensen, Carsten; Merdon, Christian
7
2014
An adaptive finite element method with asymptotic saturation for eigenvalue problems. Zbl 1306.65272
Carstensen, C.; Gedicke, J.; Mehrmann, V.; Miȩdlar, A.
2
2014
Refined fully explicit a posteriori residual-based error control. Zbl 1309.65124
Carstensen, C.; Merdon, C.
1
2014
Optimal adaptive nonconforming FEM for the Stokes problem. Zbl 1316.76046
Carstensen, Carsten; Peterseim, Daniel; Rabus, Hella
15
2013
Quasi-optimal adaptive pseudostress approximation of the Stokes equations. Zbl 1383.76333
Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
14
2013
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. Zbl 1285.65079
Carstensen, C.; Merdon, C.
13
2013
Effective postprocessing for equilibration a posteriori error estimators. Zbl 1267.65162
Carstensen, C.; Merdon, C.
7
2013
Discrete reliability for Crouzeix-Raviart FEMs. Zbl 1321.65171
Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
6
2013
A posteriori error estimator competition for conforming obstacle problems. Zbl 1364.65243
Carstensen, C.; Merdon, C.
5
2013
A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. Zbl 1316.74060
Carstensen, Carsten; Gallistl, Dietmar; Hu, Jun
4
2013
Finite element network approximation of conductivity in particle composites. Zbl 1329.74284
Peterseim, Daniel; Carstensen, Carsten
3
2013
Aspects of guaranteed error control in CPDEs. Zbl 1275.65075
Carstensen, C.; Merdon, C.; Neumann, Johannes
1
2013
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
21
2012
Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods. Zbl 1274.65290
Carstensen, Carsten; Gedicke, Joscha; Rim, Donsub
20
2012
Comparison results of finite element methods for the Poisson model problem. Zbl 1261.65115
Carstensen, C.; Peterseim, D.; Schedensack, M.
17
2012
An adaptive finite element eigenvalue solver of asymptotic quasi-optimal computational complexity. Zbl 1254.65123
Carstensen, Carsten; Gedicke, Joscha
16
2012
The adaptive nonconforming FEM for the pure displacement problem in linear elasticity is optimal and robust. Zbl 1397.74183
Carstensen, Carsten; Rabus, Hella
7
2012
P\(_1\)-nonconforming finite elements on triangulations into triangles and quadrilaterals. Zbl 1251.65156
Altmann, Robert; Carstensen, Carsten
7
2012
Convergence of adaptive boundary element methods. Zbl 1238.65124
Carstensen, Carsten; Praetorius, Dirk
7
2012
Mixed finite element method for a degenerate convex variational problem from topology optimization. Zbl 1314.65088
Carstensen, Carsten; Günther, David; Rabus, Hella
3
2012
Numerical experiments for the Arnold-Einther mixed finite elements for the Stokes problem. Zbl 1250.76130
Carstensen, Carsten; Gedicke, Joscha; Park, Eun-Jae
2
2012
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. Zbl 1247.78051
Carstensen, C.; Praetorius, D.
2
2012
An oscillation-free adaptive FEM for symmetric eigenvalue problems. Zbl 1227.65106
Carstensen, Carsten; Gedicke, Joscha
26
2011
A priori and a posteriori pseudostress-velocity mixed finite element error analysis for the Stokes problem. Zbl 1232.65098
Carstensen, Carsten; Kim, Dongho; Park, Eun-Jae
22
2011
Computational competition of symmetric mixed FEM in linear elasticity. Zbl 1230.74172
Carstensen, C.; Eigel, M.; Gedicke, J.
16
2011
An optimal adaptive mixed finite element method. Zbl 1215.65173
Carstensen, Carsten; Rabus, Hella
16
2011
A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. Zbl 1225.74081
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao
11
2011
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106
Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka
10
2011
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods. Zbl 1230.74205
Yu, Guozhu; Xie, Xiaoping; Carstensen, Carsten
6
2011
An adaptive hybridized interior penalty discontinuous Galerkin method for H(curl)-elliptic problems. Zbl 1249.65228
Carstensen, C.; Hoppe, R. H. W.; Sharma, N.; Warburton, T.
3
2011
Remarks on the state of the art of a posteriori error control of elliptic PDEs in energy norms in practise. Zbl 1265.65225
Carstensen, Carsten; Merdon, Christian
1
2011
Estimator competition for Poisson problems. Zbl 1224.65253
Carstensen, C.; Merdon, C.
14
2010
On the strong convergence of gradients in stabilized degenerate convex minimization problems. Zbl 1205.35062
Boiger, Wolfgang; Carstensen, Carsten
3
2010
Analysis of a class of penalty methods for computing singular minimizers. Zbl 1283.65097
Carstensen, C.; Ortner, C.
2
2010
A unifying theory of a posteriori error control for discontinuous Galerkin FEM. Zbl 1169.65106
Carstensen, Carsten; Gudi, Thirupathi; Jensen, Max
16
2009
Hanging nodes in the unifying theory of a posteriori finite element error control. Zbl 1212.65423
Carstensen, C.; Hu, Jun
14
2009
Error reduction in adaptive finite element approximations of elliptic obstacle problems. Zbl 1212.65246
Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W.
8
2009
Convergence of adaptive finite element methods in computational mechanics. Zbl 1419.74232
Carstensen, Carsten
7
2009
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. Zbl 1196.65171
Carstensen, C.; Hoppe, R. H. W.
4
2009
Mixed finite element technologies. Zbl 1169.65002
Wriggers, Peter (ed.); Carstensen, Carsten (ed.)
3
2009
Lectures on adaptive mixed finite element methods. Zbl 1181.65136
Carstensen, C.
1
2009
The arnold-winther mixed FEM in linear elasticity. I: Implementation and numerical verification. Zbl 1194.74374
Carstensen, C.; Günther, D.; Reininghaus, J.; Thiele, J.
17
2008
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio
10
2008
Convergence of an adaptive FEM for a class of degenerate convex minimization problems. Zbl 1169.65065
Carstensen, Carsten
6
2008
A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates. Zbl 1130.74045
Carstensen, C.; Hu, Jun
5
2008
A convergent adaptive finite element method for an optimal design problem. Zbl 1144.74038
Bartels, Sören; Carstensen, Carsten
4
2008
Partition of unity for localization in implicit a posteriori finite element error control for linear elasticity. Zbl 1195.74166
Carstensen, Carsten; Thiele, Jan
3
2008
A unifying theory of a posteriori error control for nonconforming finite element methods. Zbl 1127.65083
Carstensen, C.; Hu, Jun
46
2007
Framework for the a posteriori error analysis of nonconforming finite elements. Zbl 1165.65072
Carstensen, Carsten; Hu, Jun; Orlando, Antonio
38
2007
Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Zbl 1126.65058
Braess, Dietrich; Carstensen, Carsten; Hoppe, Ronald H. W.
33
2007
Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions. Zbl 1140.65089
Carstensen, Carsten; Praetorius, Dirk
17
2007
Averaging techniques for a posteriori error control in finite element and boundary element analysis. Zbl 1298.65161
Carstensen, Carsten; Praetorius, Dirk
9
2007
Error reduction and convergence for an adaptive mixed finite element method. Zbl 1094.65112
Carstensen, Carsten; Hoppe, R. H. W.
41
2006
Convergence analysis of an adaptive nonconforming finite element method. Zbl 1101.65102
Carstensen, Carsten; Hoppe, Ronald H. W.
34
2006
Averaging techniques for the effective numerical solution of Symm’s integral equation of the first kind. Zbl 1105.65124
Carstensen, Carsten; Praetorius, Dirk
22
2006
...and 141 more Documents
all top 5

Cited by 1,723 Authors

123 Carstensen, Carsten
53 Praetorius, Dirk
44 Petković, Miodrag S.
39 Gatica, Gabriel N.
36 Stephan, Ernst Peter
23 Führer, Thomas
21 Mosler, Jörn
20 Demkowicz, Leszek F.
20 Hu, Jun
20 Vohralík, Martin
19 Feischl, Michael
17 Karkulik, Michael
17 Park, Eun-Jae
16 Bartels, Sören
16 Gudi, Thirupathi
16 Mielke, Alexander
16 Valdman, Jan
15 Ern, Alexandre
15 Gedicke, Joscha
15 Heuer, Norbert
15 Wohlmuth, Barbara I.
15 Yang, Yidu
14 Funken, Stefan A.
14 Hackl, Klaus
14 Huang, Yunqing
14 Peterseim, Daniel
14 Repin, Sergeĭ Igorevich
13 Maischak, Matthias
13 Milošević, Dušan M.
13 Reddy, B. Dayanand
13 Roubíček, Tomáš
13 Xie, Xiaoping
12 Gallistl, Dietmar
12 Schroder, Andreas
11 Conti, Sergio
11 Dolzmann, Georg
11 Li, Jichun
11 Miehe, Christian
11 Nicaise, Serge
11 Ruiz-Baier, Ricardo
10 Banz, Lothar
10 Bi, Hai
10 Chen, Yanping
10 Hoppe, Ronald H. W.
10 Lamichhane, Bishnu Prasad
10 Melenk, Jens Markus
10 Merdon, Christian
10 Rančić, Lidija Z.
10 Stenberg, Rolf
10 Wriggers, Peter
9 Ainsworth, Mark
9 Aurada, Markus
9 Chen, Long
9 Erath, Christoph
9 Gantner, Gregor
9 Gopalakrishnan, Jay
9 Li, Jian
9 Meddahi, Salim
9 Nochetto, Ricardo Horacio
8 Barrios, Tomás P.
8 Beirão da Veiga, Lourenço
8 Du, Shaohong
8 González, María Paula
8 Haberl, Alexander
8 Hintermüller, Michael
8 Kochmann, Dennis M.
8 Oyarzúa, Ricardo
8 Petković, Ljiljana D.
8 Sayas, Francisco-Javier
8 Shi, Zhongci
8 Stein, Erwin
8 Xu, Jinchao
7 Bi, Chunjia
7 Cai, Zhiqiang
7 Chen, Shaochun
7 Chen, Zhangxin
7 Dond, Asha K.
7 Eigel, Martin
7 Ferraz-Leite, Samuel
7 Han, Weimin
7 Herceg, Đorđe D.
7 Hinze, Michael
7 Hsiao, George C.
7 Kim, Kwang Yeon
7 Larson, Mats G.
7 Li, Zhiping
7 Lin, Yanping
7 Liu, Jiangguo
7 Lu, Zuliang
7 Målqvist, Axel
7 Migórski, Stanisław
7 Nataraj, Neela
7 Prohl, Andreas
7 Rodríguez, Rodolfo
7 Wick, Thomas
7 Zhao, Lina
7 Zhao, Xin
7 Zhou, Aihui
7 Zou, Qingsong
6 Bertrand, Fleurianne
...and 1,623 more Authors
all top 5

Cited in 178 Serials

183 Computer Methods in Applied Mechanics and Engineering
119 Numerische Mathematik
96 Journal of Computational and Applied Mathematics
89 Computers & Mathematics with Applications
68 Journal of Scientific Computing
67 Mathematics of Computation
60 Applied Numerical Mathematics
49 SIAM Journal on Numerical Analysis
43 Computational Methods in Applied Mathematics
38 Numerical Methods for Partial Differential Equations
35 Applied Mathematics and Computation
31 International Journal for Numerical Methods in Engineering
30 Computational Mechanics
27 Journal of Computational Physics
27 SIAM Journal on Scientific Computing
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Numerical Algorithms
15 Journal of the Mechanics and Physics of Solids
15 Continuum Mechanics and Thermodynamics
13 Mathematical Methods in the Applied Sciences
13 International Journal of Computer Mathematics
13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 Science China. Mathematics
11 Calcolo
11 Advances in Computational Mathematics
10 Journal of Mathematical Analysis and Applications
10 Computing
10 Numerical Functional Analysis and Optimization
10 Engineering Analysis with Boundary Elements
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Journal of Numerical Mathematics
9 GAMM-Mitteilungen
8 Mathematics and Computers in Simulation
8 Engineering Computations
8 Foundations of Computational Mathematics
7 Applicable Analysis
7 Archive for Rational Mechanics and Analysis
7 BIT
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Numerical Linear Algebra with Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Archives of Computational Methods in Engineering
6 Applied Mathematics Letters
6 Applications of Mathematics
6 Computational Optimization and Applications
5 Journal of Optimization Theory and Applications
5 Applied Mathematical Modelling
5 Calculus of Variations and Partial Differential Equations
5 Mathematical Problems in Engineering
5 Journal of Inequalities and Applications
5 Computational Geosciences
5 East Asian Journal on Applied Mathematics
4 International Journal of Plasticity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Linear Algebra and its Applications
4 Journal of Mathematical Sciences (New York)
4 Abstract and Applied Analysis
4 Nonlinear Analysis. Real World Applications
3 International Journal of Engineering Science
3 International Journal for Numerical Methods in Fluids
3 Computer Aided Geometric Design
3 Journal of Complexity
3 Mathematical and Computer Modelling
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Mathematical Analysis
3 Computational and Applied Mathematics
3 Computing and Visualization in Science
3 European Journal of Mechanics. A. Solids
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Systems Science and Complexity
3 SIAM/ASA Journal on Uncertainty Quantification
2 Acta Mechanica
2 International Journal of Solids and Structures
2 Journal of Engineering Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Kybernetika
2 Mathematische Annalen
2 Meccanica
2 Mechanics Research Communications
2 Proceedings of the American Mathematical Society
2 Theoretical Computer Science
2 Zeitschrift für Analysis und ihre Anwendungen
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Constructive Approximation
2 Journal of Integral Equations and Applications
2 Science in China. Series A
2 Computational Mathematics and Modeling
2 Computational Mathematics and Mathematical Physics
2 SIAM Journal on Applied Mathematics
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Communications in Numerical Methods in Engineering
2 ETNA. Electronic Transactions on Numerical Analysis
2 Optimization Methods & Software
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Multiscale Modeling & Simulation
2 Structural and Multidisciplinary Optimization
...and 78 more Serials
all top 5

Cited in 42 Fields

1,190 Numerical analysis (65-XX)
529 Partial differential equations (35-XX)
503 Mechanics of deformable solids (74-XX)
202 Fluid mechanics (76-XX)
171 Calculus of variations and optimal control; optimization (49-XX)
68 Optics, electromagnetic theory (78-XX)
58 Functions of a complex variable (30-XX)
48 Field theory and polynomials (12-XX)
32 Real functions (26-XX)
23 Approximations and expansions (41-XX)
22 Integral equations (45-XX)
22 Statistical mechanics, structure of matter (82-XX)
20 Operator theory (47-XX)
18 Operations research, mathematical programming (90-XX)
17 Computer science (68-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Classical thermodynamics, heat transfer (80-XX)
10 Potential theory (31-XX)
9 Functional analysis (46-XX)
9 Probability theory and stochastic processes (60-XX)
9 Information and communication theory, circuits (94-XX)
8 Biology and other natural sciences (92-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 General and overarching topics; collections (00-XX)
6 Ordinary differential equations (34-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
5 Quantum theory (81-XX)
4 Geophysics (86-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year