PLTMG swMATH ID: 717 Software Authors: Randolph E. Bank; University of California Description: PLTMG 11.0 is a package for solving elliptic partial differential equations in general regions of the plane. It is based on a family of continuous Lagrange triangular finite elements. PLTMG features options for adaptive h, p, and hp refinement, coarsening, and mesh moving. PLTMG employes several algebraic multilevel solvers for the resulting systems of linear equations. PLTMG provides a suite of continuation options to handle PDEs with parameter dependencies. It also provides options for solving several classes of optimal control and obstacle problems. The package includes an initial mesh generator and several graphics packages. Support for the Bank-Holst parallel adaptive meshing paradigm and corresponding domain decomposition solver are also provided.PLTMG is provided as Fortran (and a little C) source code. However, this version is no longer backwards compatible with Fortan77. The code has interfaces to X-Windows, MPI, and Michael Holst’s OpenGL display tool SG. The X-Windows, MPI, and SG interfaces require libraries that are NOT provided as part of the PLTMG package. Homepage: http://www.scicomp.ucsd.edu/~reb/software.html Keywords: orms; Bank-Holst Related Software: UG; deal.ii; PETSc; Kaskade7; Matlab; ALBERTA; AUTO; PITCON; ELLPACK; RODAS; DUNE; FreeFem++; Trilinos; libMesh; Wesseling; COLSYS; hypre; IFISS; FEniCS; DistMesh Cited in: 214 Publications This software is also referenced in ORMS. Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year PLTMG: a software package for solving elliptic partial differential equations. Users’ guide 6.0. Zbl 0717.68001Bank, Randolph E. 1990 all top 5 Cited by 290 Authors 24 Bank, Randolph E. 7 Hoppe, Ronald H. W. 7 Ovall, Jeffrey S. 7 Wohlmuth, Barbara I. 5 Berzins, Martin 5 Yserentant, Harry 4 Carey, Graham Francis 4 Kornhuber, Ralf 4 Leitão, Antonio 4 Mitchell, William F. 4 Nochetto, Ricardo Horacio 4 Smith, R. Kent 4 Wittum, Gabriel 3 Babuška, Ivo 3 Becker, Roland 3 Borcea, Liliana 3 Gaspar, Francisco José 3 Guo, Yujin 3 Lisbona Cortés, Francisco Javier 3 Papanicolaou, George C. 3 Rodrigo, Carmen 3 Rüde, Ulrich 3 Simpson, R. Bruce 3 Ward, Michael J. 2 Aguilar, Juan C. 2 Arnold, Douglas Norman 2 Bangerth, Wolfgang 2 Bastian, Peter 2 Berryman, James G. 2 Bey, Jürgen 2 Bornemann, Folkmar A. 2 Braack, Malte 2 Chen, Long 2 D’Azevedo, Eduardo F. 2 Deotte, Chris 2 Doedel, Eusebius J. 2 Durán, Ricardo G. 2 Erdmann, Bodo 2 Freitag, Lori A. 2 Ghoussoub, Nassif A. 2 Goodman, Jonathan B. 2 Gracia, José Luis 2 Griebel, Michael 2 Hiptmair, Ralf 2 Holst, Michael J. 2 Jimack, Peter K. 2 Jones, Mark T. 2 Juncu, Gheorghe 2 Kanschat, Guido 2 Köckler, Norbert 2 Kohli, H. S. 2 Kramer, K. M. 2 Kronbichler, Martin 2 Lang, Jens 2 LeVeque, Randall J. 2 Li, Hengguang 2 Li, Zhilin 2 Mukherjee, Arup 2 Neuss, Nicolas 2 Nguyen Trung Hieu 2 Plassmann, Paul E. 2 Plaza, Ángel 2 Prohl, Andreas 2 Rank, Ernst 2 Rodríguez, Rodolfo 2 Roitzsch, Rainer 2 Sauter, Stefan A. 2 Shashkov, Mikhail J. 2 Shi, Zhongci 2 Suárez, José Pablo 2 Svaiter, Benar Fux 2 Verfürth, Rüdiger 2 Vogelius, Michael S. 2 Wieners, Christian 2 Xu, Jinchao 2 Zhao, Xuying 1 Adolph, Torsten 1 Aiffa, Mohammed 1 Anderson, Michael L. 1 Anderssen, Robert Scott 1 Andersson, Börje 1 Argentati, Merico E. 1 Bänsch, Eberhard 1 Beale, J. Thomas 1 Beck, Rudi 1 Beck, Rudolf 1 Benbourenane, Mohamed 1 Beretta, Elena 1 Bespalov, Alexei 1 Birken, Klaus 1 Boffi, Daniele 1 Bordas, Stéphane Pierre Alain 1 Brady, Victor 1 Bueno-Orovio, Alfonso 1 Bulle, Raphaël 1 Burrage, Kevin 1 Burstedde, Carsten 1 Buss, Jonathan F. 1 Byun, Ki-Ryang 1 Cao, Jun ...and 190 more Authors all top 5 Cited in 74 Serials 14 SIAM Journal on Scientific Computing 13 Numerische Mathematik 10 Journal of Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 10 Applied Numerical Mathematics 9 International Journal for Numerical Methods in Engineering 9 Computing and Visualization in Science 6 Journal of Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 5 Computing 4 Computers & Mathematics with Applications 4 Communications in Numerical Methods in Engineering 3 Inverse Problems 3 Mathematics of Computation 3 Numerical Linear Algebra with Applications 2 Computers and Fluids 2 Computer Physics Communications 2 ACM Transactions on Mathematical Software 2 Applied Mathematics and Computation 2 BIT 2 Numerical Functional Analysis and Optimization 2 Finite Elements in Analysis and Design 2 International Journal of Computational Geometry & Applications 2 Proceedings of the Royal Society of London. 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Modélisation Mathématique et Analyse Numérique 1 Communications in Applied Numerical Methods 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 IMPACT of Computing in Science and Engineering 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Numerical Modelling 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. 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Mathematics 1 Scientific Computation all top 5 Cited in 26 Fields 177 Numerical analysis (65-XX) 106 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 20 Mechanics of deformable solids (74-XX) 13 Optics, electromagnetic theory (78-XX) 10 Computer science (68-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year