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.

This software is also referenced in ORMS.

References in zbMATH (referenced in 183 articles , 1 standard article )

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  1. Leitão, A.; Svaiter, B.F.: On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations (2016)
  2. Bank, Randolph E.; Yserentant, Harry: On the $H^1$-stability of the $L_2$-projection onto finite element spaces (2014)
  3. Li, Hengguang; Ovall, Jeffrey S.: A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential (2014)
  4. Nicolas, Gérald; Fouquet, Thierry: Adaptive mesh refinement for conformal hexahedralmeshes (2013)
  5. Boffi, Daniele; Gardini, Francesca; Gastaldi, Lucia: Some remarks on eigenvalue approximation by finite elements (2012)
  6. Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao: Optimal multilevel methods for graded bisection grids (2012)
  7. Plaza, Ángel; Falcón, Sergio; Suárez, José P.; Abad, Pilar: A local refinement algorithm for the longest-edge trisection of triangle meshes (2012)
  8. Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J.: Multigrid methods on semi-structured grids (2012)
  9. Vavalis, Manolis; Mu, Mo; Sarailidis, Giorgos: Finite element simulations of window Josephson junctions (2012)
  10. Janssen, Bärbel; Kanschat, Guido: Adaptive multilevel methods with local smoothing for $H^1$- and $H^\textcurl$-conforming high order finite element methods (2011)
  11. Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin: Mathematical analysis of partial differential equations modeling electrostatic MEMS (2010)
  12. Gaspar, Francisco; Gracia, J.L.; Lisbona, F.J.; Rodrigo, C.: Efficient geometric multigrid implementation for triangular grids (2010)
  13. Ghadimi, Parviz; Faizi Chekab, Mohammad A.; Maleki, Farzam Safarzadeh: A novel approach to node distribution for 2D mesh generation and its application in marine and ocean engineering (2010)
  14. Nochetto, Ricardo H.; Walker, Shawn W.: A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes (2010)
  15. Plaza, Ángel; Falcón, Sergio; Suárez, José P.: On the non-degeneracy property of the longest-edge trisection of triangles (2010)
  16. Strang, Gilbert: Scientific computing. (2010)
  17. Zhao, Xuying; Hu, Jun; Shi, Zhongci: Convergence analysis of the adaptive finite element method with the red-green refinement (2010)
  18. Zhao, Xuying; Mao, Shipeng; Shi, Zhongci: Adaptive finite element methods on quadrilateral meshes without hanging nodes (2010)
  19. Gaspar, F.J.; Gracia, J.L.; Lisbona, F.J.; Rodrigo, C.: On geometric multigrid methods for triangular grids using three-coarsening strategy (2009)
  20. Grubisic, Luka; Ovall, Jeffrey S.: On estimators for eigenvalue/eigenvector approximations (2009)

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