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PLTMG

swMATH ID: 717
Software Authors: Bank, Randolph E.; 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; PETSc; deal.ii; Kaskade7; Matlab; RODAS; ALBERTA; AUTO; PITCON; ELLPACK; hypre; FEniCS; IFISS; DUNE; FreeFem++; Trilinos; libMesh; Wesseling; COLSYS; ALBERT
Cited in: 218 Documents
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 0717.68001
Bank, Randolph E.
1990
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Cited by 289 Authors

26 Bank, Randolph E.
7 Hoppe, Ronald H. W.
7 Ovall, Jeffrey S.
7 Wohlmuth, Barbara I.
6 Yserentant, Harry
5 Berzins, Martin
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 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 Gopal, Abinand
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
2 Shashkov, Mikhail J.
2 Shi, Zhongci
2 Suárez, José Pablo
2 Svaiter, Benar Fux
2 Trefethen, Lloyd Nicholas
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
...and 189 more Authors
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Cited in 75 Serials

14 SIAM Journal on Scientific Computing
13 Numerische Mathematik
12 Computing and Visualization in Science
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
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. Series A. Mathematical and Physical Sciences
2 SIAM Review
2 East-West Journal of Numerical Mathematics
2 ETNA. Electronic Transactions on Numerical Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Frontiers in Applied Mathematics
1 IMA Journal of Applied Mathematics
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 International Journal for Numerical Methods in Fluids
1 Journal of the Franklin Institute
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Rendiconti. Scienze Matemàtiche e Applicazioni. A
1 Parallel Computing
1 RAIRO. 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 Proceedings of the National Academy of Sciences of the United States of America
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. Series B
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 International Journal of Computational Methods
1 Lecture Notes in Computational Science and Engineering
1 Software - Environments - Tools
1 SIAM Monographs on Mathematical Modeling and Computation
1 Courant Lecture Notes in Mathematics
1 Communications in Applied Mathematics and Computational Science
1 Communications in Computational Physics
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Scientific Computation
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Cited in 27 Fields

181 Numerical analysis (65-XX)
106 Partial differential equations (35-XX)
23 Fluid mechanics (76-XX)
21 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)
1 Mathematics education (97-XX)

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