deal.ii swMATH ID: 3516 Software Authors: Bangerth W, Hartman R, Kanschat G Description: deal.II is a C++ program library targeted at the computational solution of partial differential equations using adaptive finite elements. It uses state-of-the-art programming techniques to offer you a modern interface to the complex data structures and algorithms required.The main aim of deal.II is to enable rapid development of modern finite element codes, using among other aspects adaptive meshes and a wide array of tools classes often used in finite element program. Writing such programs is a non-trivial task, and successful programs tend to become very large and complex. We believe that this is best done using a program library that takes care of the details of grid handling and refinement, handling of degrees of freedom, input of meshes and output of results in graphics formats, and the like. Likewise, support for several space dimensions at once is included in a way such that programs can be written independent of the space dimension without unreasonable penalties on run-time and memory consumption. Homepage: http://www.dealii.org/ Source Code: https://github.com/dealii/dealii/ Keywords: discontinuous Galerkin; finite elements Related Software: Trilinos; PETSc; p4est; FEniCS; UMFPACK; Gmsh; FreeFem++; libMesh; DOLFIN; DUNE; ParaView; SLEPc; MUMPS; ML; hypre; Firedrake; GitHub; Python; MFEM; OpenFOAM Cited in: 681 Documents Further Publications: http://www.dealii.org/developer/index.html Standard Articles 4 Publications describing the Software, including 4 Publications in zbMATH Year The deal.II library, version 9.4. Zbl 07590497Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 2022 The deal.II library, Version 9.3. Zbl 1478.65004Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 2021 The deal.II library, Version 9.1. Zbl 1435.65010Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 2019 The deal.II library, version 8.4. Zbl 1348.65187Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 2016 all top 5 Cited by 1,083 Authors 40 Wick, Thomas 27 Bangerth, Wolfgang 25 Kanschat, Guido 24 Heltai, Luca 21 Kronbichler, Martin 20 Hartmann, Ralf 18 Wheeler, Mary Fanett 17 Heister, Timo 14 Bonito, Andrea 13 Kim, Seungil 13 Maier, Matthias Sebastian 13 Steinmann, Paul 13 Stoll, Martin 12 Nochetto, Ricardo Horacio 12 Salgado, Abner J. 12 Schötzau, Dominik 11 Lee, Sanghyun 11 Pelteret, Jean-Paul 10 Arndt, Daniel 10 Burstedde, Carsten 10 Turcksin, Bruno 10 Wollner, Winnifried 9 Bause, Markus 9 Suttmeier, Franz-Theo 8 Cangiani, Andrea 8 Carraro, Thomas 8 Davydov, Denis 8 Houston, Paul 8 Lube, Gert 8 Mikelić, Andro 8 Neytcheva, Maya G. 8 Rannacher, Rolf 8 Sun, WaiChing 7 Aggul, Mustafa 7 Choo, Jinhyun 7 Freddi, Francesco 7 Georgoulis, Emmanuil H. 7 Guermond, Jean-Luc 7 Radu, Florin Adrian 7 Willems, Joerg 6 Borja, Ronaldo I. 6 Carey, Graham Francis 6 Cockburn, Bernardo 6 Kirby, Robert C. 6 Köcher, Uwe 6 Olshanskii, Maxim A. 6 Tomas, Ignacio 6 Wall, Wolfgang A. 6 White, Joshua A. 5 Adler, James H. 5 Bängtsson, Erik 5 Lazarov, Raytcho D. 5 Liu, Tiegang 5 MacLachlan, Scott P. 5 Madzvamuse, Anotida 5 Mitchell, Lawrence 5 Popov, Boyan 4 Anderson, Michael L. 4 Arbogast, Todd 4 Axelsson, Axel Owe Holger 4 Blais, Bruno 4 Boffi, Daniele 4 Bürg, Markus 4 Cheng, Jian 4 Dedner, Andreas S. 4 Demlow, Alan 4 Emerson, D. B. 4 Endtmayer, Bernhard 4 Fehling, Marc 4 Fehn, Niklas 4 Ghattas, Omar N. 4 Ginestar, Damián 4 Girault, Vivette 4 Hochbruck, Marlis 4 Holke, Johannes 4 Klöfkorn, Robert 4 Kormann, Katharina 4 Kumar, Kundan 4 Labovsky, Alexander E. 4 Leibold, Jan 4 Leicht, Tobias 4 Logg, Anders 4 McBride, Andrew T. 4 Metcalfe, Stephen 4 Müller, Siegfried 4 Munch, Peter 4 Neitzel, Ira 4 Pearson, John W. 4 Rebholz, Leo G. 4 Schneebeli, Anna 4 Verdú, Gumersindo 4 Vidal-Ferràndiz, A. 4 Vrdoljak, Marko 4 Wathen, Andrew John 4 Yang, Yong 4 Yu, Shengjiao 4 Yue, Huiqiang 4 Zhang, Jiaqi 3 Badia, Santiago 3 Bartels, Sören ...and 983 more Authors all top 5 Cited in 116 Serials 81 Computer Methods in Applied Mechanics and Engineering 63 Journal of Computational Physics 58 SIAM Journal on Scientific Computing 33 Computers & Mathematics with Applications 26 ACM Transactions on Mathematical Software 25 Journal of Computational and Applied Mathematics 25 SIAM Journal on Numerical Analysis 18 Computational Mechanics 18 Journal of Scientific Computing 16 Journal of Numerical Mathematics 15 Applied Numerical Mathematics 12 Computational Geosciences 11 Numerische Mathematik 10 Applied Mathematics and Computation 9 Mathematics of Computation 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Computer Physics Communications 8 Computational Methods in Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computers and Fluids 7 International Journal for Numerical Methods in Fluids 7 International Journal for Numerical Methods in Engineering 7 Communications in Computational Physics 5 Advances in Computational Mathematics 5 Multiscale Modeling & Simulation 4 IMA Journal of Numerical Analysis 4 Journal of Mathematical Analysis and Applications 4 Numerical Algorithms 4 Numerical Linear Algebra with Applications 3 International Journal of Engineering Science 3 Bulletin of Mathematical Biology 3 SIAM Journal on Control and Optimization 3 Journal of Elasticity 3 Engineering Analysis with Boundary Elements 3 International Journal of Computational Fluid Dynamics 3 European Journal of Mechanics. A. Solids 3 Archives of Computational Methods in Engineering 3 International Journal of Numerical Analysis and Modeling 3 International Mathematical Forum 3 SMAI Journal of Computational Mathematics 2 Acta Mechanica 2 Inverse Problems 2 Journal of the Mechanics and Physics of Solids 2 Computing 2 Mathematics and Computers in Simulation 2 Numerical Methods for Partial Differential Equations 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Journal of Inverse and Ill-Posed Problems 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Nonlinear Analysis. Real World Applications 2 Foundations of Computational Mathematics 2 Communications on Pure and Applied Analysis 2 Oberwolfach Reports 2 Mathematical Modelling of Natural Phenomena 2 Advances in Applied Mathematics and Mechanics 1 International Journal of Modern Physics B 1 Classical and Quantum Gravity 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 BIT 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Meccanica 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Continuum Mechanics and Thermodynamics 1 Communications in Numerical Methods in Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 East-West Journal of Numerical Mathematics 1 Journal of Convex Analysis 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 International Journal of Parallel, Emergent and Distributed Systems 1 Lecture Notes in Computational Science and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics in Computer Science ...and 16 more Serials all top 5 Cited in 34 Fields 511 Numerical analysis (65-XX) 242 Fluid mechanics (76-XX) 211 Partial differential equations (35-XX) 179 Mechanics of deformable solids (74-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 33 Biology and other natural sciences (92-XX) 29 Optics, electromagnetic theory (78-XX) 27 Geophysics (86-XX) 25 Computer science (68-XX) 19 Statistical mechanics, structure of matter (82-XX) 14 Classical thermodynamics, heat transfer (80-XX) 8 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year