Edit Profile (opens in new tab) Schmidt, Alfred Co-Author Distance Author ID: schmidt.alfred.2 Published as: Schmidt, Alfred; Schmidt, A. External Links: MGP Documents Indexed: 30 Publications since 1993, including 2 Books Co-Authors: 23 Co-Authors with 25 Joint Publications 579 Co-Co-Authors all top 5 Co-Authors 5 single-authored 8 Nochetto, Ricardo Horacio 8 Siebert, Kunibert G. 5 Bänsch, Eberhard 4 Verdi, Claudio 2 Chen, Zhiming 2 Luttmann, Andreas 2 Montalvo Urquizo, Jonathan 2 Niebuhr, Carsten 2 Villarreal-Marroquín, María Guadalupe 2 Wolff, Michael 1 Benz, Klaus-Werner 1 Boschert, Stefan 1 Dziuk, Gerhard 1 Gaul, Lothar 1 Haasdonk, Bernard 1 Jahn, Mischa 1 Kessler, Daniel P. 1 Kreuzer, Christian 1 Möller, Christian A. 1 Ohlberger, Mario 1 Paul, Jordi 1 Rumpf, Martin 1 Veeser, Andreas all top 5 Serials 2 Acta Mathematica Universitatis Comenianae. New Series 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Mathematics of Computation 1 Computing 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Lecture Notes in Computational Science and Engineering 1 Journal of Mathematics in Industry all top 5 Fields 20 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 402 times in 361 Documents Cited by ▼ Year ▼ Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Zbl 1068.65138 Schmidt, Alfred; Siebert, Kunibert G. 133 2005 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117 Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 58 2004 Computation of three dimensional dendrites with finite elements. Zbl 0844.65096 Schmidt, Alfred 52 1996 A posteriori error estimation and adaptivity for degenerate parabolic problems. Zbl 0942.65111 Nochetto, R. H.; Schmidt, A.; Verdi, C. 40 2000 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107 Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas 27 2006 ALBERT—Software for scientific computations and applications. Zbl 0993.65134 Schmidt, Alfred; Siebert, K. G. 20 2001 A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060 Schmidt, Alfred; Siebert, Kunibert G. 11 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. 10 2012 A characteristic Galerkin method with adaptive error control for the continuous casting problem. Zbl 0960.76045 Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred 8 2000 Simulation of dendritic crystal growth with thermal convection. Zbl 0960.35111 Bänsch, Eberhard; Schmidt, Alfred 7 2000 An ALE finite element method for a coupled Stefan problem and Navier-Stokes equations with free capillary surface. Zbl 1431.65168 Bänsch, Eberhard; Paul, Jordi; Schmidt, Alfred 7 2013 Error control and adaptivity for a phase relaxation model. Zbl 0965.65114 Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred 5 2000 Finite-element computation of three-dimensional dendrites. (Die Berechnung dreidimensionaler Dendriten mit Finiten Elementen.) Zbl 0890.65133 Schmidt, Alfred 4 1993 A multi-mesh finite element method for phase-field simulations. Zbl 1057.80005 Schmidt, Alfred 4 2003 Adaptive solution of phase change problems over unstructured tetrahedral meshes. Zbl 0939.65112 Nochetto, R. H.; Schmidt, A.; Verdi, C. 3 1999 Adapting meshes and time-steps for phase change problems. Zbl 0910.65106 Nochetto, Ricardo H.; Schmidt, Alfred; Verdi, Claudio 3 1997 Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529 Schmidt, A.; Siebert, K. G. 2 1999 Approximation of crystalline dendrite growth in two space dimensions. Zbl 0930.65107 Schmidt, A. 2 1998 Parameter identification and FE implementation of a viscoelastic constitutive equation using fractional derivatives. Zbl 1419.74089 Schmidt, Alfred; Gaul, L. 1 2002 Simulation of industrial crystal growth by the vertical Bridgman method. Zbl 1052.80507 Dziuk, Gerhard; Boschert, Stefan; Schmidt, Alfred; Siebert, Kunibert G.; Bänsch, Eberhard; Benz, Klaus-Werner; Kaiser, Thomas 1 2003 A multi-mesh finite element method for 3D phase field simulations. Zbl 1040.35125 Schmidt, Alfred 1 2003 A thermodynamically consistent model in small deformations of the material behaviour of steel including phase transformations, classical and transformation-induced plasticity. Zbl 1079.74011 Wolff, Michael; Böhm, Michael; Schmidt, Alfred 1 2005 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 Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process. Zbl 1465.74135 Bänsch, Eberhard; Luttmann, Andreas; Montalvo-Urquizo, Jonathan; Schmidt, Alfred; Villarreal-Marroquín, Maria G. 1 2020 Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process. Zbl 1465.74135 Bänsch, Eberhard; Luttmann, Andreas; Montalvo-Urquizo, Jonathan; Schmidt, Alfred; Villarreal-Marroquín, Maria G. 1 2020 An ALE finite element method for a coupled Stefan problem and Navier-Stokes equations with free capillary surface. Zbl 1431.65168 Bänsch, Eberhard; Paul, Jordi; Schmidt, Alfred 7 2013 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. 10 2012 Pointwise a posteriori error estimates for monotone semi-linear equations. Zbl 1104.65107 Nochetto, Ricardo H.; Schmidt, Alfred; Siebert, Kunibert G.; Veeser, Andreas 27 2006 Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM. Zbl 1068.65138 Schmidt, Alfred; Siebert, Kunibert G. 133 2005 A thermodynamically consistent model in small deformations of the material behaviour of steel including phase transformations, classical and transformation-induced plasticity. Zbl 1079.74011 Wolff, Michael; Böhm, Michael; Schmidt, Alfred 1 2005 A posteriori error control for the Allen-Cahn problem: circumventing Gronwall’s inequality. Zbl 1075.65117 Kessler, Daniel; Nochetto, Ricardo H.; Schmidt, Alfred 58 2004 A multi-mesh finite element method for phase-field simulations. Zbl 1057.80005 Schmidt, Alfred 4 2003 Simulation of industrial crystal growth by the vertical Bridgman method. Zbl 1052.80507 Dziuk, Gerhard; Boschert, Stefan; Schmidt, Alfred; Siebert, Kunibert G.; Bänsch, Eberhard; Benz, Klaus-Werner; Kaiser, Thomas 1 2003 A multi-mesh finite element method for 3D phase field simulations. Zbl 1040.35125 Schmidt, Alfred 1 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 Parameter identification and FE implementation of a viscoelastic constitutive equation using fractional derivatives. Zbl 1419.74089 Schmidt, Alfred; Gaul, L. 1 2002 ALBERT—Software for scientific computations and applications. Zbl 0993.65134 Schmidt, Alfred; Siebert, K. G. 20 2001 A posteriori error estimation and adaptivity for degenerate parabolic problems. Zbl 0942.65111 Nochetto, R. H.; Schmidt, A.; Verdi, C. 40 2000 A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D. Zbl 0966.65060 Schmidt, Alfred; Siebert, Kunibert G. 11 2000 A characteristic Galerkin method with adaptive error control for the continuous casting problem. Zbl 0960.76045 Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred 8 2000 Simulation of dendritic crystal growth with thermal convection. Zbl 0960.35111 Bänsch, Eberhard; Schmidt, Alfred 7 2000 Error control and adaptivity for a phase relaxation model. Zbl 0965.65114 Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred 5 2000 Adaptive solution of phase change problems over unstructured tetrahedral meshes. Zbl 0939.65112 Nochetto, R. H.; Schmidt, A.; Verdi, C. 3 1999 Abstract data structures for a finite element package: Design principles of ALBERT. Zbl 0944.65529 Schmidt, A.; Siebert, K. G. 2 1999 Approximation of crystalline dendrite growth in two space dimensions. Zbl 0930.65107 Schmidt, A. 2 1998 Adapting meshes and time-steps for phase change problems. Zbl 0910.65106 Nochetto, Ricardo H.; Schmidt, Alfred; Verdi, Claudio 3 1997 Computation of three dimensional dendrites with finite elements. Zbl 0844.65096 Schmidt, Alfred 52 1996 Finite-element computation of three-dimensional dendrites. (Die Berechnung dreidimensionaler Dendriten mit Finiten Elementen.) Zbl 0890.65133 Schmidt, Alfred 4 1993 all cited Publications top 5 cited Publications all top 5 Cited by 522 Authors 33 Nürnberg, Robert 25 Garcke, Harald 22 Nochetto, Ricardo Horacio 15 Barrett, John William 9 Baňas, Ľubomír 9 Morin, Pedro 9 Shen, Jie 9 Yang, Xiaofeng 8 Chen, Zhiming 8 Makridakis, Charalambos G. 7 Elliott, Charles M. 7 Gibou, Frédéric 7 Lam, Kei Fong 7 Vohralík, Martin 6 Bartels, Sören 6 Cascón, José Manuel 6 Demlow, Alan 6 Kahle, Christian 6 Siebert, Kunibert G. 6 Verani, Marco 5 Bänsch, Eberhard 5 Hinze, Michael 5 Kopteva, Natalia Viktorovna 5 Kreuzer, Christian 5 Kyza, Irene 5 Salgado, Abner J. 5 Stevenson, Rob P. 5 Styles, Vanessa 5 Voigt, Axel 5 Wang, Qi 4 Canuto, Claudio 4 Dedner, Andreas S. 4 Klöfkorn, Robert 4 Lakkis, Omar 4 Metcalfe, Stephen 4 Ohlberger, Mario 4 Otárola, Enrique 4 Picasso, Marco 4 Prohl, Andreas 4 Rankin, Richard 4 Schmidt, Alfred 4 Veeser, Andreas 4 Venkataraman, Chandrasekhar 4 Zhao, Jia 3 Al-Rawahi, Nabeel 3 Berrone, Stefano 3 Burman, Erik 3 Chen, Yaoyao 3 Chrysafinos, Konstantinos 3 Dolejší, Vít 3 Dorfler, Willy 3 Georgoulis, Emmanuil H. 3 Hintermüller, Michael 3 Jimack, Peter K. 3 Ju, Lili 3 Kelmanson, Mark A. 3 Khandelwal, Rohit 3 Kimura, Masato 3 Lin, Ping 3 Madzvamuse, Anotida 3 Marro, Massimo 3 Porwal, Kamana 3 Strain, John A. 3 Tryggvason, Grétar 3 Wihler, Thomas Pascal 3 Yu, Haijun 3 Zhang, Chensong 3 Zhao, Quan 3 Zheng, Weiying 2 Abdulle, Assyr 2 Akrivis, Georgios D. 2 Allendes, Alejandro 2 Azaïez, Mejdi 2 Bank, Randolph E. 2 Barreira, Raquel 2 Bastian, Peter 2 Belhamadia, Youssef 2 Beneš, Michal 2 Blank, Luise 2 Blatt, Markus 2 Cai, Yongyong 2 Chamberland, Éric 2 Chung, Tsz Shun Eric 2 Di Pietro, Daniele Antonio 2 Du, Qiang 2 Engwer, Christian 2 Fedkiw, Ronald P. 2 Fortin, André 2 Fritz, Hans 2 Funken, Stefan A. 2 Garau, Eduardo M. 2 Gaskell, Philip H. 2 Hansbo, Peter 2 Hausser, Frank 2 Huang, Jianguo 2 Huang, Yunqing 2 Karma, Alain 2 Katsaounis, Theodoros 2 Keil, Tobias 2 Kornhuber, Ralf ...and 422 more Authors all top 5 Cited in 85 Serials 48 Journal of Computational Physics 32 Numerische Mathematik 30 Computer Methods in Applied Mechanics and Engineering 23 Mathematics of Computation 20 Journal of Scientific Computing 14 Computers & Mathematics with Applications 13 Applied Numerical Mathematics 12 Journal of Computational and Applied Mathematics 12 SIAM Journal on Numerical Analysis 8 SIAM Journal on Scientific Computing 8 Computing and Visualization in Science 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Computational Methods in Applied Mathematics 4 Computers and Fluids 4 Numerical Methods for Partial Differential Equations 4 Advances in Computational Mathematics 3 Calcolo 3 Computing 3 European Journal of Applied Mathematics 3 Applied Mathematical Modelling 3 Computational Optimization and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Geosciences 3 International Journal of Numerical Analysis and Modeling 3 Communications in Computational Physics 3 SMAI Journal of Computational Mathematics 2 International Journal of Modern Physics B 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 BIT 2 Kybernetika 2 Applications of Mathematics 2 Numerical Algorithms 2 Journal of Nonlinear Science 2 Communications in Numerical Methods in Engineering 2 Computational and Applied Mathematics 2 Optimization Methods & Software 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Physica A 1 ACM Transactions on Mathematical Software 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Constructive Approximation 1 Computational Mechanics 1 Applied Mathematics Letters 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales Mathématiques Blaise Pascal 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Interfaces and Free Boundaries 1 Engineering Computations 1 Optimization and Engineering 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Decisions in Economics and Finance 1 Physical Review E. Third Series 1 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 SIAM Journal on Imaging Sciences 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Advances in Numerical Analysis 1 Advances in Applied Mathematics and Mechanics 1 Journal of Theoretical Biology 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Partial Differential Equations 1 Iranian Journal of Numerical Analysis and Optimization 1 Journal of Computational Methods in Physics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 27 Fields 290 Numerical analysis (65-XX) 170 Partial differential equations (35-XX) 91 Fluid mechanics (76-XX) 45 Classical thermodynamics, heat transfer (80-XX) 37 Mechanics of deformable solids (74-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 26 Statistical mechanics, structure of matter (82-XX) 17 Biology and other natural sciences (92-XX) 15 Optics, electromagnetic theory (78-XX) 11 Differential geometry (53-XX) 7 Computer science (68-XX) 6 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year