PLTMG

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 193 articles , 1 standard article )

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  1. Bank, Randolph E.; Deotte, Chris: Adventures in adaptivity (2017)
  2. Bank, Randolph E.; Deotte, Chris: The influence of partitioning on domain decomposition convergence rates (2017)
  3. Loisel, Sébastien; Nguyen, Hieu: An optimal Schwarz preconditioner for a class of parallel adaptive finite elements (2017)
  4. Leitão, A.; Svaiter, B.F.: On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations (2016)
  5. Li, Hengguang; Ovall, Jeffrey S.: A posteriori eigenvalue error estimation for a Schrödinger operator with inverse square potential (2015)
  6. Bank, Randolph E.; Yserentant, Harry: On the $H^1$-stability of the $L_2$-projection onto finite element spaces (2014)
  7. Chen, Jie; Huang, Yunqing; Wang, Desheng; Xie, Xiaoping: Adaptive tetrahedral mesh generation by constrained centroidal Voronoi-Delaunay tessellations for finite element methods (2014)
  8. Li, Hengguang; Ovall, Jeffrey S.: A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential (2014)
  9. Le Borne, S.; Ovall, J.S.: Rapid error reduction for block Gauss-Seidel based on $p$-hierarchical basis. (2013)
  10. Nicolas, Gérald; Fouquet, Thierry: Adaptive mesh refinement for conformal hexahedralmeshes (2013)
  11. Boffi, Daniele; Gardini, Francesca; Gastaldi, Lucia: Some remarks on eigenvalue approximation by finite elements (2012)
  12. Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao: Optimal multilevel methods for graded bisection grids (2012)
  13. Kronbichler, Martin; Kormann, Katharina: A generic interface for parallel cell-based finite element operator application (2012)
  14. Plaza, Ángel; Falcón, Sergio; Suárez, José P.; Abad, Pilar: A local refinement algorithm for the longest-edge trisection of triangle meshes (2012) ioport
  15. Rodrigo, Carmen; Gaspar, Francisco J.; Lisbona, Francisco J.: Multigrid methods on semi-structured grids (2012)
  16. Vavalis, Manolis; Mu, Mo; Sarailidis, Giorgos: Finite element simulations of window Josephson junctions (2012)
  17. Bangerth, Wolfgang; Burstedde, Carsten; Heister, Timo; Kronbichler, Martin: Algorithms and data structures for massively parallel generic adaptive finite element codes (2011)
  18. Janssen, Bärbel; Kanschat, Guido: Adaptive multilevel methods with local smoothing for $H^1$- and $H^\textcurl$-conforming high order finite element methods (2011)
  19. Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin: Mathematical analysis of partial differential equations modeling electrostatic MEMS (2010)
  20. Gaspar, Francisco; Gracia, J.L.; Lisbona, F.J.; Rodrigo, C.: Efficient geometric multigrid implementation for triangular grids (2010)

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