ALBERTA swMATH ID: 1061 Software Authors: Alfred Schmidt, Kunibert G. Siebert, Claus-Justus Heine, Daniel Köster, Oliver Kriessl Description: ALBERTA is an Adaptive multiLevel finite element toolbox using Bisectioning refinement and Error control by Residual Techniques for scientific Applications. ALBERTA, a sequential adaptive finite-element toolbox, is being used widely in the fields of scientific and engineering computation, especially in the numerical simulation of electromagnetics. But the nature of sequentiality has become the bottle-neck while solving large scale problems. So we develop a parallel adaptive finite-element package based on ALBERTA, using ParMETIS and PETSc. The package is able to deal with any problem that ALBERT solved. Furthermore, it is suitable for distributed memory parallel computers including PC clusters Homepage: http://www.alberta-fem.de/ Keywords: finite-element method; adaption; parallel algorithm; ALBERTA; package; numerical experiments Related Software: UMFPACK; ALBERT; DUNE; deal.ii; FEniCS; PETSc; SyFi; PLTMG; UG; AFEM@matlab; Gmsh; ISTL; Triangle; Matlab; Trilinos; ParaView; PROST; Gerris; MUMPS; LDL Cited in: 182 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A parallel adaptive finite-element package based on ALBERTA. Zbl 1154.65091Liu, Qingkai; Mo, Zeyao; Zhang, Linbo 2008 all top 5 Cited by 216 Authors 30 Nürnberg, Robert 25 Garcke, Harald 17 Nochetto, Ricardo Horacio 16 Barrett, John William 13 Morin, Pedro 13 Siebert, Kunibert G. 12 Elliott, Charles M. 9 Demlow, Alan 8 Veeser, Andreas 7 Cascón, José Manuel 7 Kreuzer, Christian 6 Kahle, Christian 6 Lam, Kei Fong 6 Styles, Vanessa 5 Lakkis, Omar 5 Madzvamuse, Anotida 5 Venkataraman, Chandrasekhar 4 Berrone, Stefano 4 Chen, Zhiming 4 Dziuk, Gerhard 4 Garau, Eduardo M. 4 Hinze, Michael 4 Makridakis, Charalambos G. 4 Sander, Oliver 4 Verani, Marco 3 Barreira, Raquel 3 Dedner, Andreas S. 3 Du, Qiang 3 Klöfkorn, Robert 3 Ohlberger, Mario 3 Pryer, Tristan 3 Schmidt, Alfred 3 Stevenson, Rob P. 3 Xiao, Yuanming 3 Xu, Jinchao 3 Zhang, Chensong 3 Zhang, Linbo 3 Zuppa, Carlos 2 Abdulle, Assyr 2 Bänsch, Eberhard 2 Bastian, Peter 2 Bermejo, Rodolfo 2 Blank, Luise 2 Blatt, Markus 2 Bonito, Andrea 2 Carpio, Jaime 2 Chen, Long 2 Deckelnick, Klaus 2 Diening, Lars 2 Doǧan, Günay 2 Engwer, Christian 2 Escobar, José María 2 Fierro, Francesca 2 Gaspoz, Fernando D. 2 Gräser, Carsten 2 Hintermüller, Michael 2 Kanschat, Guido 2 Kashima, Yohei 2 Keil, Tobias 2 Kimura, Masato 2 Köster, Daniel 2 Linke, Alexander 2 Marro, Massimo 2 Mekchay, Khamron 2 Montenegro, Rafael 2 Montero, Gustavo 2 Ranner, Thomas 2 Rodríguez, Eduardo 2 Sacconi, Andrea 2 Schmuck, Markus 2 Sitka, Emanuel 2 Stinner, Bjorn 2 Tian, Li 2 Tucker, Edward J. W. 2 von Petersdorff, Tobias 2 Wittum, Gabriel 2 Zhang, Jian 1 Agnese, Marco 1 Aguilera, Néstor E. 1 Aland, Sebastian 1 Alauzet, Frédéric 1 Ambati, Vijaya R. 1 Asensio, Maria Isabel 1 Bai, Yun 1 Baňas, Ľubomír 1 Baran, Ágnes 1 Bartlett, Roscoe A. 1 Bause, Markus 1 Belenki, Liudmila 1 Bell, Alexander 1 Bespalov, Alexei 1 Bi, Chunjia 1 Binev, Peter G. 1 Blum, Heribert 1 Bokhove, Onno 1 Brix, Kolja 1 Burman, Erik 1 Buša, Ján jun. 1 Butz, Martin V. 1 Chaplain, Mark A. J. ...and 116 more Authors all top 5 Cited in 60 Serials 15 Numerische Mathematik 11 IMA Journal of Numerical Analysis 11 SIAM Journal on Scientific Computing 10 Mathematics of Computation 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Computational Physics 8 SIAM Journal on Numerical Analysis 6 Applied Numerical Mathematics 6 M\(^3\)AS. 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Zeitschrift für Angewandte Mathematik und Mechanik 1 Computational Geosciences 1 Optimization and Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Communications in Mathematical Sciences 1 Communications in Computational Physics 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Theoretical Biology 1 SIAM/ASA Journal on Uncertainty Quantification 1 De Gruyter Studium 1 SMAI Journal of Computational Mathematics all top 5 Cited in 25 Fields 149 Numerical analysis (65-XX) 94 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Mechanics of deformable solids (74-XX) 16 Biology and other natural sciences (92-XX) 9 Optics, electromagnetic theory (78-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Differential geometry (53-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year