AMDiS swMATH ID: 10480 Software Authors: Simon Praetorius Description: AMDiS (Adaptive MultiDimensional Simulations) is a C++ library to solve a broad class of partial differential equations (PDE) using adaptive finite elements. Homepage: https://fusionforge.zih.tu-dresden.de/projects/amdis/ Keywords: HPC; finite element method; parallel computing; MTL4; PETSc; partial differential equations; adaptivity Related Software: UMFPACK; PETSc; CutFEM; libMesh; p4est; FEniCS; dune-xt; PANG; Dune-UDG; FEMPAR; Vc; ISTL; UG; Gmsh; Curvilinear Grid; DUNE-ALUGrid; Exa-Dune; RBmatlab; Kaskade7; DuMuX Cited in: 49 Publications Standard Articles 1 Publication describing the Software Year AMDiS: adaptive multidimensional simulations Vey, Simon; Voigt, Axel 2007 all top 5 Cited by 54 Authors 30 Voigt, Axel 14 Rätz, Andreas 8 Aland, Sebastian 5 Lowengrub, John Samuel 5 Nestler, Michael 5 Praetorius, Simon 5 Röger, Matthias 4 Nitschke, Ingo 4 Reuther, Sebastian 4 Schweizer, Ben 4 Stöcker, Christina 3 Hausser, Frank 3 Marth, Wieland 2 Burger, Martin 2 Garcke, Harald 2 Ling, Siqi 2 Ribalta, Angel 2 Vey, Simon 2 Witkowski, Thomas 1 Abels, Helmut 1 Allard, Jun 1 Bastian, Peter 1 Blank, Luise 1 Blatt, Markus 1 de Kinkelder, Eloy 1 Dedner, Andreas S. 1 Dreier, Nils-Arne 1 Egerer, Sabine 1 Engwer, Christian 1 Esedoglu, Selim 1 Franz, Sebastian 1 Fritze, René 1 Gärtner, Roland 1 Gräser, Carsten 1 Grüninger, Christoph 1 Guo, Zhenlin 1 Kampmann, Johannes 1 Kempf, Dominic 1 Klöfkorn, Robert 1 Koch, Jan 1 Lamacz, Agnes 1 Landsberg, Christoph 1 Löwen, Hartmut 1 Mokbel, Dominic 1 Ohlberger, Mario 1 Rasche, Sandra 1 Roos, Hans-Görg 1 Sagis, Leonard M. C. 1 Sander, Oliver 1 Simon, Maximilian 1 Stenger, Florian 1 Styles, Vanessa 1 Wensch, Jörg 1 Wenzel, Dennis all top 5 Cited in 28 Serials 10 Journal of Computational Physics 3 Computational Methods in Applied Mathematics 3 Multiscale Modeling & Simulation 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Mathematical Sciences 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Advances in Mathematical Sciences and Applications 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 CMES. Computer Modeling in Engineering & Sciences 1 Bonner Mathematische Schriften 1 Communications in Computational Physics 1 Symmetry 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 14 Fields 27 Partial differential equations (35-XX) 27 Numerical analysis (65-XX) 23 Fluid mechanics (76-XX) 10 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year