The libMesh library provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations on serial and parallel platforms. A major goal of the library is to provide support for adaptive mesh refinement (AMR) computations in parallel while allowing a research scientist to focus on the physics they are modeling. libMesh currently supports 1D, 2D, and 3D steady and transient simulations on a variety of popular geometric and finite element types. The library makes use of high-quality, existing software whenever possible. PETSc is used for the solution of linear systems on both serial and parallel platforms, and LASPack is included with the library to provide linear solver support on serial machines. An optional interface to SLEPc is also provided for solving both standard and generalized eigenvalue problems.

References in zbMATH (referenced in 156 articles , 1 standard article )

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  1. Abdulle, Assyr; de Souza, Giacomo Rosilho: A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations (2022)
  2. Caboussat, Alexandre; Gourzoulidis, Dimitrios; Picasso, Marco: An anisotropic adaptive method for the numerical approximation of orthogonal maps (2022)
  3. Hedayat, Mohammadali; Akbarzadeh, Amir M.; Borazjani, Iman: A parallel dynamic overset grid framework for immersed boundary methods (2022)
  4. Kolbe, Niklas; Sfakianakis, Nikolaos: An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models (2022)
  5. Lee, Jae H.; Griffith, Boyce E.: On the Lagrangian-Eulerian coupling in the immersed finite element/difference method (2022)
  6. Zulian, Patrick; Schädle, Philipp; Karagyaur, Liudmila; Nestola, Maria G. C.: Comparison and application of non-conforming mesh models for flow in fractured porous media using dual Lagrange multipliers (2022)
  7. Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David: The \textscdeal.II finite element library: design, features, and insights (2021)
  8. Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver: The \textscDuneframework: basic concepts and recent developments (2021)
  9. Brown et al.: libCEED: Fast algebra for high-order element-based discretizations (2021) not zbMATH
  10. Grave, Malú; Coutinho, Alvaro L. G. A.: Adaptive mesh refinement and coarsening for diffusion-reaction epidemiological models (2021)
  11. Luo, Li; Cai, Xiao-Chuan; Keyes, David E.: Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method (2021)
  12. Luo, Li; Cai, Xiao-Chuan; Keyes, David E.: Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method (2021)
  13. Cortes, Adriano M. A.; Lins, Erb F.; Guerra, Gabriel M.; Silva, Rômulo M.; Alves, José L. D.; Elias, Renato N.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A.: EdgeCFD: a parallel residual-based variational multiscale code for multiphysics (2020)
  14. Degen, Denise; Veroy, Karen; Wellmann, Florian: Certified reduced basis method in geosciences. Addressing the challenge of high-dimensional problems (2020)
  15. Favino, Marco; Hunziker, Jürg; Caspari, Eva; Quintal, Beatriz; Holliger, Klaus; Krause, Rolf: Fully-automated adaptive mesh refinement for media embedding complex heterogeneities: application to poroelastic fluid pressure diffusion (2020)
  16. Grave, Malú; Camata, José J.; Coutinho, Alvaro L. G. A.: A new convected level-set method for gas bubble dynamics (2020)
  17. Grave, M.; Camata, José J.; Coutinho, Alvaro L. G. A.: Residual-based variational multiscale 2D simulation of sediment transport with morphological changes (2020)
  18. Kaczmarczyk, Łukasz; Ullah, Zahur; Lewandowski, Karol; Meng, Xuan; Zhou, Xiao-Yi; Athanasiadis, Ignatios; Nguyen, Hoang; Chalons-Mouriesse, Christophe-Alexandre; Richardson, Euan J.; Miur, Euan; Shvarts, Andrei G.; Wakeni, Mebratu; Pearce, Chris J.: MoFEM: An open source, parallel nite element library (2020) not zbMATH
  19. Kolahdouz, Ebrahim M.; Bhalla, Amneet Pal Singh; Craven, Brent A.; Griffith, Boyce E.: An immersed interface method for discrete surfaces (2020)
  20. Kopaničáková, Alena; Krause, Rolf: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020)

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