Edit Profile Siebert, Kunibert G. Compute Distance To: Compute Author ID: siebert.kunibert-g Published as: Siebert, K. G.; Siebert, Kunibert; Siebert, Kunibert G. External Links: MGP · Wikidata Documents Indexed: 35 Publications since 1993, including 2 Books all top 5 Co-Authors 5 single-authored 9 Nochetto, Ricardo Horacio 8 Schmidt, Alfred 6 Veeser, Andreas 5 Rösch, Arnd 4 Kohls, Kristina 4 Kreuzer, Christian 4 Morin, Pedro 2 Bänsch, Eberhard 2 Cascón, José Manuel 2 Köster, Daniel 1 Antil, Harbir 1 Bamberger, Alain 1 Benz, Klaus-Werner 1 Boschert, Stefan 1 Deckelnick, Klaus 1 Dörfler, Willy 1 Dziuk, Gerhard 1 Gantner, Andreas 1 Gaspoz, Fernando D. 1 Haasdonk, Bernard 1 Heine, Claus-Justus 1 Hoppe, Ronald H. W. 1 Kaiser, Thomas B. 1 Kriessl, Oliver 1 Möller, Christian A. 1 Ohlberger, Mario 1 Rumpf, Martin 1 Steinig, Simeon 1 Wixforth, Achim all top 5 Serials 4 IMA Journal of Numerical Analysis 4 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematics of Computation 1 Computing 1 SIAM Journal on Control and Optimization 1 Applied Numerical Mathematics 1 IMPACT of Computing in Science and Engineering 1 Acta Mathematica Universitatis Comenianae. New Series 1 SIAM Review 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Lecture Notes in Computational Science and Engineering 1 Numerical Mathematics: Theory, Methods and Applications 1 North-Western European Journal of Mathematics all top 5 Fields 31 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 30 Publications have been cited 1,050 times in 628 Documents Cited by ▼ Year ▼ Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 178 2008 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 161 2000 Convergence of adaptive finite element methods. Zbl 1016.65074Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 138 2002 Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Zbl 1068.65138Schmidt, Alfred; Siebert, Kunibert G. 116 2005 Theory of adaptive finite element methods: An introduction. Zbl 1190.65176Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 93 2009 Local problems on stars: A posteriori error estimators, convergence, and performance. Zbl 1019.65083Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 55 2003 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 50 2008 Pointwise a posteriori error control for elliptic obstacle problems. Zbl 1027.65089Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 42 2003 A posteriori error analysis of optimal control problems with control constraints. Zbl 1302.65155Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. 25 2014 An a posteriori error estimator for anisotropic refinement. Zbl 0873.65098Siebert, Kunibert G. 25 1996 Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 22 2005 A unilaterally constrained quadratic minimization with adaptive finite elements. Zbl 1154.90008Siebert, Kunibert G.; Veeser, Andreas 21 2007 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas 21 2006 A convergence proof for adaptive finite elements without lower bound. Zbl 1225.65101Siebert, Kunibert G. 19 2011 ALBERT—Software for scientific computations and applications. Zbl 0993.65134Schmidt, Alfred; Siebert, K. G. 18 2001 Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. 13 2007 Decay rates of adaptive finite elements with Dörfler marking. Zbl 1219.65133Kreuzer, Christian; Siebert, Kunibert G. 11 2011 Optimal grading of the newest vertex bisection and \(H^{1}\)-stability of the \(L_{2}\)-projection. Zbl 1433.65291Gaspoz, Fernando D.; Heine, Claus-Justus; Siebert, Kunibert G. 9 2016 A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060Schmidt, Alfred; Siebert, Kunibert G. 7 2000 A posteriori error estimators for control constrained optimal control problems. Zbl 1356.49048Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. 5 2012 Design and convergence analysis for an adaptive discretization of the heat equation. Zbl 1261.65092Kreuzer, Christian; Möller, Christian A.; Schmidt, Alfred; Siebert, Kunibert G. 5 2012 Convergence of adaptive finite elements for optimal control problems with control constraints. Zbl 1327.49050Kohls, Kristina; Siebert, Kunibert; Rösch, Arnd 3 2014 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 Reliable a posteriori error estimation for state-constrained optimal control. Zbl 1380.49003Rösch, A.; Siebert, K. G.; Steinig, Simeon 2 2017 Design of finite element tools for coupled surface and volume meshes. Zbl 1174.65539Köster, Daniel; Kriessl, Oliver; Siebert, Kunibert G. 2 2008 Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529Schmidt, A.; Siebert, K. G. 2 1999 Mathematically founded design of adaptive finite element software. Zbl 1250.65142Siebert, Kunibert G. 1 2012 Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004Antil, 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 1024.76038Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Local refinement of 3D-meshes consisting of prisms and conforming closure. Zbl 0830.65105Siebert, Kunibert G. 1 1993 Reliable a posteriori error estimation for state-constrained optimal control. Zbl 1380.49003Rösch, 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 1433.65291Gaspoz, Fernando D.; Heine, Claus-Justus; Siebert, Kunibert G. 9 2016 A posteriori error analysis of optimal control problems with control constraints. Zbl 1302.65155Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. 25 2014 Convergence of adaptive finite elements for optimal control problems with control constraints. Zbl 1327.49050Kohls, Kristina; Siebert, Kunibert; Rösch, Arnd 3 2014 A posteriori error estimators for control constrained optimal control problems. Zbl 1356.49048Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. 5 2012 Design and convergence analysis for an adaptive discretization of the heat equation. Zbl 1261.65092Kreuzer, Christian; Möller, Christian A.; Schmidt, Alfred; Siebert, Kunibert G. 5 2012 Mathematically founded design of adaptive finite element software. Zbl 1250.65142Siebert, Kunibert G. 1 2012 A convergence proof for adaptive finite elements without lower bound. Zbl 1225.65101Siebert, Kunibert G. 19 2011 Decay rates of adaptive finite elements with Dörfler marking. Zbl 1219.65133Kreuzer, Christian; Siebert, Kunibert G. 11 2011 Theory of adaptive finite element methods: An introduction. Zbl 1190.65176Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 93 2009 Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G. 178 2008 A basic convergence result for conforming adaptive finite elements. Zbl 1153.65111Morin, Pedro; Siebert, Kunibert G.; Veeser, Andreas 50 2008 Design of finite element tools for coupled surface and volume meshes. Zbl 1174.65539Köster, Daniel; Kriessl, Oliver; Siebert, Kunibert G. 2 2008 Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004Antil, 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 1154.90008Siebert, Kunibert G.; Veeser, Andreas 21 2007 Design and convergence of AFEM in \(H\)(div). Zbl 1144.65064Cascon, J. Manuel; Nochetto, Ricardo H.; Siebert, Kunibert G. 13 2007 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107Nochetto, 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 1068.65138Schmidt, Alfred; Siebert, Kunibert G. 116 2005 Fully localized a posteriori error estimators and barrier sets for contact problems. Zbl 1095.65099Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 22 2005 Local problems on stars: A posteriori error estimators, convergence, and performance. Zbl 1019.65083Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 55 2003 Pointwise a posteriori error control for elliptic obstacle problems. Zbl 1027.65089Nochetto, Ricardo H.; Siebert, Kunibert G.; Veeser, Andreas 42 2003 Multiresolution visualization of higher-order adaptive finite element simulations. Zbl 1024.76038Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, Alfred; Siebert, K. G. 1 2003 Convergence of adaptive finite element methods. Zbl 1016.65074Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 138 2002 ALBERT—Software for scientific computations and applications. Zbl 0993.65134Schmidt, Alfred; Siebert, K. G. 18 2001 Data oscillation and convergence of adaptive FEM. Zbl 0970.65113Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G. 161 2000 A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060Schmidt, Alfred; Siebert, Kunibert G. 7 2000 \(W^{1, \infty}\)-convergence of the discrete free boundary for obstacle problems. Zbl 0960.65077Deckelnick, Klaus; Siebert, Kunibert G. 3 2000 Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529Schmidt, A.; Siebert, K. G. 2 1999 An a posteriori error estimator for anisotropic refinement. Zbl 0873.65098Siebert, Kunibert G. 25 1996 Local refinement of 3D-meshes consisting of prisms and conforming closure. Zbl 0830.65105Siebert, Kunibert G. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 799 Authors 34 Praetorius, Dirk 28 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 Siebert, Kunibert G. 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 Hu, Jun 6 Li, Hao 6 Li, Hengguang 6 Rankin, Richard 6 Shi, Zhongci 6 Vohralík, Martin 5 Bänsch, Eberhard 5 Barrios, Tomás P. 5 Bespalov, Alexei 5 Chen, Zhiming 5 Erath, Christoph 5 Haberl, Alexander 5 Holst, Michael J. 5 Hu, Xiaozhe 5 Huang, Qiumei 5 Huerta, Antonio 5 Kahle, Christian 5 Kopteva, Natalia Viktorovna 5 Kornhuber, Ralf 5 Kreuzer, Christian 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 Becker, Roland 4 Beirão da Veiga, Lourenço 4 Boffi, Daniele 4 Bonito, Andrea 4 Ferraz-Leite, Samuel 4 Georgoulis, Emmanuil H. 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 3 Abdulle, Assyr ...and 699 more Authors all top 5 Cited in 102 Serials 65 Numerische Mathematik 49 Computer Methods in Applied Mechanics and Engineering 47 Mathematics of Computation 37 Journal of Computational and Applied Mathematics 37 SIAM Journal on Numerical Analysis 33 Applied Numerical Mathematics 31 Journal of Scientific Computing 24 Computers & Mathematics with Applications 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Journal of Computational Physics 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 SIAM Journal on Scientific Computing 12 Numerical Methods for Partial Differential Equations 12 Computational Methods in Applied Mathematics 8 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 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 Advances in Mathematical Physics 1 ISRN Applied Mathematics 1 Communications in Mathematics 1 Journal of Theoretical Biology 1 EURO Journal on Computational Optimization 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) ...and 2 more Serials all top 5 Cited in 29 Fields 573 Numerical analysis (65-XX) 270 Partial differential equations (35-XX) 83 Fluid mechanics (76-XX) 77 Mechanics of deformable solids (74-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 31 Optics, electromagnetic theory (78-XX) 19 Approximations and expansions (41-XX) 16 Biology and other natural sciences (92-XX) 15 Classical thermodynamics, heat transfer (80-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Operations research, mathematical programming (90-XX) 8 Ordinary differential equations (34-XX) 7 Integral equations (45-XX) 7 Computer science (68-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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