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Siebert, Kunibert G.

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Author ID: siebert.kunibert-g Recent zbMATH articles by "Siebert, Kunibert G."
Published as: Siebert, K. G.; Siebert, Kunibert; Siebert, Kunibert G.
External Links: MGP
Documents Indexed: 36 Publications since 1993, including 2 Books

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 1,079 times in 645 Documents Cited by Year
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
188
2008
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
167
2000
Convergence of adaptive finite element methods. Zbl 1016.65074
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
143
2002
Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Zbl 1068.65138
Schmidt, Alfred; Siebert, Kunibert G.
117
2005
Theory of adaptive finite element methods: An introduction. Zbl 1190.65176
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
95
2009
Local problems on stars: A posteriori error estimators, convergence, and performance. Zbl 1019.65083
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
55
2003
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
52
2008
Pointwise a posteriori error control for elliptic obstacle problems. Zbl 1027.65089
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
42
2003
A posteriori error analysis of optimal control problems with control constraints. Zbl 1302.65155
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
25
2014
An a posteriori error estimator for anisotropic refinement. Zbl 0873.65098
Siebert, Kunibert G.
25
1996
Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
22
2005
A unilaterally constrained quadratic minimization with adaptive finite elements. Zbl 1154.90008
Siebert, Kunibert G.; Veeser, Andreas
21
2007
Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107
Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas
21
2006
A convergence proof for adaptive finite elements without lower bound. Zbl 1225.65101
Siebert, Kunibert G.
19
2011
ALBERT—Software for scientific computations and applications. Zbl 0993.65134
Schmidt, Alfred; Siebert, K. G.
18
2001
Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064
Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G.
13
2007
Decay rates of adaptive finite elements with Dörfler marking. Zbl 1219.65133
Kreuzer, Christian; Siebert, Kunibert G.
11
2011
Optimal grading of the newest vertex bisection and \(H^{1}\)-stability of the \(L_{2}\)-projection. Zbl 1433.65291
Gaspoz, Fernando D.; Heine, Claus-Justus; Siebert, Kunibert G.
10
2016
A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060
Schmidt, Alfred; Siebert, Kunibert G.
7
2000
Design and convergence analysis for an adaptive discretization of the heat equation. Zbl 1261.65092
Kreuzer, Christian; Möller, Christian A.; Schmidt, Alfred; Siebert, Kunibert G.
6
2012
A posteriori error estimators for control constrained optimal control problems. Zbl 1356.49048
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
5
2012
Convergence of adaptive finite elements for optimal control problems with control constraints. Zbl 1327.49050
Kohls, Kristina; Siebert, Kunibert; Rösch, Arnd
4
2014
\(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077
Deckelnick, Klaus; Siebert, Kunibert G.
3
2000
Reliable a posteriori error estimation for state-constrained optimal control. Zbl 1380.49003
Rösch, A.; Siebert, K. G.; Steinig, Simeon
2
2017
Design of finite element tools for coupled surface and volume meshes. Zbl 1174.65539
Köster, Daniel; Kriessl, Oliver; Siebert, Kunibert G.
2
2008
Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529
Schmidt, A.; Siebert, K. G.
2
1999
Mathematically founded design of adaptive finite element software. Zbl 1250.65142
Siebert, Kunibert G.
1
2012
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004
Antil, Harbir; Gantner, Andreas; Hoppe, Ronald H. W.; Köster, Daniel; Siebert, Kunibert; Wixforth, Achim
1
2008
Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038
Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G.
1
2003
Local refinement of 3D-meshes consisting of prisms and conforming closure. Zbl 0830.65105
Siebert, Kunibert G.
1
1993
Reliable a posteriori error estimation for state-constrained optimal control. Zbl 1380.49003
Rösch, A.; Siebert, K. G.; Steinig, Simeon
2
2017
Optimal grading of the newest vertex bisection and \(H^{1}\)-stability of the \(L_{2}\)-projection. Zbl 1433.65291
Gaspoz, Fernando D.; Heine, Claus-Justus; Siebert, Kunibert G.
10
2016
A posteriori error analysis of optimal control problems with control constraints. Zbl 1302.65155
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
25
2014
Convergence of adaptive finite elements for optimal control problems with control constraints. Zbl 1327.49050
Kohls, Kristina; Siebert, Kunibert; Rösch, Arnd
4
2014
Design and convergence analysis for an adaptive discretization of the heat equation. Zbl 1261.65092
Kreuzer, Christian; Möller, Christian A.; Schmidt, Alfred; Siebert, Kunibert G.
6
2012
A posteriori error estimators for control constrained optimal control problems. Zbl 1356.49048
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
5
2012
Mathematically founded design of adaptive finite element software. Zbl 1250.65142
Siebert, Kunibert G.
1
2012
A convergence proof for adaptive finite elements without lower bound. Zbl 1225.65101
Siebert, Kunibert G.
19
2011
Decay rates of adaptive finite elements with Dörfler marking. Zbl 1219.65133
Kreuzer, Christian; Siebert, Kunibert G.
11
2011
Theory of adaptive finite element methods: An introduction. Zbl 1190.65176
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
95
2009
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122
Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.
188
2008
A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111
Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas
52
2008
Design of finite element tools for coupled surface and volume meshes. Zbl 1174.65539
Köster, Daniel; Kriessl, Oliver; Siebert, Kunibert G.
2
2008
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004
Antil, Harbir; Gantner, Andreas; Hoppe, Ronald H. W.; Köster, Daniel; Siebert, Kunibert; Wixforth, Achim
1
2008
A unilaterally constrained quadratic minimization with adaptive finite elements. Zbl 1154.90008
Siebert, Kunibert G.; Veeser, Andreas
21
2007
Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064
Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G.
13
2007
Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107
Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas
21
2006
Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Zbl 1068.65138
Schmidt, Alfred; Siebert, Kunibert G.
117
2005
Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
22
2005
Local problems on stars: A posteriori error estimators, convergence, and performance. Zbl 1019.65083
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
55
2003
Pointwise a posteriori error control for elliptic obstacle problems. Zbl 1027.65089
Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas
42
2003
Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038
Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G.
1
2003
Convergence of adaptive finite element methods. Zbl 1016.65074
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
143
2002
ALBERT—Software for scientific computations and applications. Zbl 0993.65134
Schmidt, Alfred; Siebert, K. G.
18
2001
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113
Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.
167
2000
A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060
Schmidt, Alfred; Siebert, Kunibert G.
7
2000
\(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077
Deckelnick, Klaus; Siebert, Kunibert G.
3
2000
Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529
Schmidt, A.; Siebert, K. G.
2
1999
An a posteriori error estimator for anisotropic refinement. Zbl 0873.65098
Siebert, Kunibert G.
25
1996
Local refinement of 3D-meshes consisting of prisms and conforming closure. Zbl 0830.65105
Siebert, Kunibert G.
1
1993
all top 5

Cited by 824 Authors

36 Praetorius, Dirk
30 Carstensen, Carsten
26 Nochetto, Ricardo Horacio
23 Nürnberg, Robert
18 Garcke, Harald
15 Barrett, John W.
14 Feischl, Michael
13 Führer, Thomas
13 Otárola, Enrique
11 Hoppe, Ronald H. W.
11 Veeser, Andreas
11 Yang, Yidu
10 Bi, Hai
10 Morin, Pedro
10 Verani, Marco
9 Demlow, Alan
9 Karkulik, Michael
9 Xu, Jinchao
8 Cascón, José Manuel
8 Gallistl, Dietmar
8 Salgado, Abner J.
8 Schwab, Christoph
8 Stevenson, Rob P.
8 Xu, Yifeng
7 Allendes, Alejandro
7 Berrone, Stefano
7 Díez, Pedro
7 Elliott, Charles M.
7 Gudi, Thirupathi
7 Huang, Qiumei
7 Siebert, Kunibert G.
7 Vohralík, Martin
7 Xu, Fei
6 Aurada, Markus
6 Baňas, L’ubomír
6 Buffa, Annalisa
6 Canuto, Claudio
6 Chen, Long
6 Ern, Alexandre
6 Gantner, Gregor
6 Haberl, Alexander
6 Hu, Jun
6 Kreuzer, Christian
6 Li, Hao
6 Li, Hengguang
6 Rankin, Richard
6 Shi, Zhongci
5 Bänsch, Eberhard
5 Barrios, Tomás P.
5 Bespalov, Alexei
5 Chen, Zhiming
5 Erath, Christoph
5 Georgoulis, Emmanuil H.
5 Holst, Michael J.
5 Hu, Xiaozhe
5 Huerta, Antonio
5 Kahle, Christian
5 Kopteva, Natalia Viktorovna
5 Kornhuber, Ralf
5 Lam, Kei Fong
5 Makridakis, Charalambos G.
5 Mao, Shipeng
5 Melenk, Jens Markus
5 Nicaise, Serge
5 Ohlberger, Mario
5 Ovall, Jeffrey S.
5 Schroder, Andreas
5 Styles, Vanessa
5 Wang, Zhoufeng
5 Xie, Hehu
5 Yan, Ningning
5 Zou, Jun
5 Zou, Qingsong
4 Bacuta, Constantin
4 Bank, Randolph E.
4 Bartels, Sören
4 Becker, Roland
4 Beirão da Veiga, Lourenço
4 Boffi, Daniele
4 Bonito, Andrea
4 Ferraz-Leite, Samuel
4 Hintermüller, Michael
4 Hinze, Michael
4 Klöfkorn, Robert
4 Lakkis, Omar
4 Larson, Mats G.
4 Li, Xiaolin
4 Micheletti, Stefano
4 Mu, Lin
4 Parés, Núria
4 Perotto, Simona
4 Pollock, Sara
4 Rabus, Hella
4 Strakoš, Zdeněk
4 Venkataraman, Chandrasekhar
4 Voigt, Axel
4 Wu, Haijun
4 Xie, Xiaoping
4 Ye, Xiu
4 Zhao, Xuying
...and 724 more Authors
all top 5

Cited in 106 Serials

67 Numerische Mathematik
50 Computer Methods in Applied Mechanics and Engineering
49 Mathematics of Computation
39 SIAM Journal on Numerical Analysis
37 Journal of Computational and Applied Mathematics
33 Applied Numerical Mathematics
31 Journal of Scientific Computing
26 Computers & Mathematics with Applications
19 Journal of Computational Physics
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 SIAM Journal on Scientific Computing
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Numerical Methods for Partial Differential Equations
12 Computational Methods in Applied Mathematics
9 Applied Mathematics and Computation
8 Advances in Computational Mathematics
8 Foundations of Computational Mathematics
7 International Journal for Numerical Methods in Engineering
7 Numerical Algorithms
7 Computing and Visualization in Science
6 Computational Mechanics
6 Journal of Numerical Mathematics
5 Calcolo
5 Computing
5 Science China. Mathematics
4 BIT
4 Applied Mathematical Modelling
4 Computational Optimization and Applications
4 Numerical Linear Algebra with Applications
4 Engineering Analysis with Boundary Elements
3 Applicable Analysis
3 Journal of Engineering Mathematics
3 Kybernetika
3 Computer Aided Geometric Design
3 Applied Mathematics Letters
3 European Journal of Applied Mathematics
3 International Journal of Computer Mathematics
3 Communications in Numerical Methods in Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Optimization Methods & Software
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computers and Fluids
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Mathematics and Computers in Simulation
2 Numerical Functional Analysis and Optimization
2 Constructive Approximation
2 Science in China. Series A
2 Applications of Mathematics
2 SIAM Journal on Mathematical Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Computational Geosciences
2 Archives of Computational Methods in Engineering
2 Discrete and Continuous Dynamical Systems. Series B
2 Multiscale Modeling & Simulation
2 Acta Numerica
2 SMAI Journal of Computational Mathematics
1 International Journal of Modern Physics B
1 Inverse Problems
1 Journal of Mathematical Biology
1 ACM Transactions on Mathematical Software
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Optimization
1 Journal of Optimization Theory and Applications
1 SIAM Journal on Control and Optimization
1 Stochastic Analysis and Applications
1 Journal of Complexity
1 Journal of Integral Equations and Applications
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Nonlinear Science
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 ETNA. Electronic Transactions on Numerical Analysis
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 Honam Mathematical Journal
1 International Journal of Theoretical and Applied Finance
1 Interfaces and Free Boundaries
1 Engineering Computations
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 International Journal of Computational Methods
1 Advances in Difference Equations
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Communications in Applied Mathematics and Computational Science
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 SIAM Journal on Imaging Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 ISRN Applied Mathematics
1 Communications in Mathematics
1 Journal of Theoretical Biology
1 EURO Journal on Computational Optimization
...and 6 more Serials

Citations by Year