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 116 articles , 1 standard article )

Showing results 1 to 20 of 116.
Sorted by year (citations)

1 2 3 4 5 6 next

  1. Grave, M.; Camata, José J.; Coutinho, Alvaro L. G. A.: Residual-based variational multiscale 2D simulation of sediment transport with morphological changes (2020)
  2. Smetana, Kathrin: Static condensation optimal port/interface reduction and error estimation for structural health monitoring (2020)
  3. Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco: Numerical approximation of orthogonal maps (2019)
  4. Cerveny, Jakub; Dobrev, Veselin; Kolev, Tzanio: Nonconforming mesh refinement for high-order finite elements (2019)
  5. Feng, Xinzeng; Hormuth, David A. II; Yankeelov, Thomas E.: An adjoint-based method for a linear mechanically-coupled tumor model: application to estimate the spatial variation of murine glioma growth based on diffusion weighted magnetic resonance imaging (2019)
  6. Fritz, Marvin; Lima, Ernesto A. B. F.; Nikolić, Vanja; Oden, J. Tinsley; Wohlmuth, Barbara: Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation (2019)
  7. Gesenhues, Linda; Camata, José J.; Côrtes, Adriano M. A.; Rochinha, Fernando A.; Coutinho, Alvaro L. G. A.: Finite element simulation of complex dense granular flows using a well-posed regularization of the (\mu(I))-rheology (2019)
  8. Roberts, Nathan V.: Camellia: a rapid development framework for finite element solvers (2019)
  9. Sváček, Petr: On implementation aspects of finite element method and its application (2019)
  10. von Planta, Cyrill; Vogler, Daniel; Chen, Xiaoqing; Nestola, Maria G. C.; Saar, Martin O.; Krause, Rolf: Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators (2019)
  11. Buhr, Andreas; Smetana, Kathrin: Randomized local model order reduction (2018)
  12. Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios: A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation (2018)
  13. Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.: Comparative study of finite element methods using the time-accuracy-size (TAS) spectrum analysis (2018)
  14. Damiand, Guillaume; Gonzalez-Lorenzo, Aldo; Zara, Florence; Dupont, Florent: Distributed combinatorial maps for parallel mesh processing (2018)
  15. Hoover, Alexander P.; Cortez, Ricardo; Tytell, Eric D.; Fauci, Lisa J.: Swimming performance, resonance and shape evolution in heaving flexible panels (2018)
  16. Joshi, Vaibhav; Jaiman, Rajeev K.: An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model (2018)
  17. Baiges, Joan; Bayona, Camilo: RefficientLib: an efficient load-rebalanced adaptive mesh refinement algorithm for high-performance computational physics meshes (2017)
  18. Berger, Lorenz; Bordas, Rafel; Kay, David; Tavener, Simon: A stabilized finite element method for finite-strain three-field poroelasticity (2017)
  19. Hoover, Alexander P.; Griffith, Boyce E.; Miller, Laura A.: Quantifying performance in the medusan mechanospace with an actively swimming three-dimensional jellyfish model (2017)
  20. Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan: An efficient finite element method for simulation of droplet spreading on a topologically rough surface (2017)

1 2 3 4 5 6 next

Further publications can be found at: