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 92 articles , 1 standard article )

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  1. Buhr, Andreas; Smetana, Kathrin: Randomized local model order reduction (2018)
  2. Baiges, Joan; Bayona, Camilo: RefficientLib: an efficient load-rebalanced adaptive mesh refinement algorithm for high-performance computational physics meshes (2017)
  3. Berger, Lorenz; Bordas, Rafel; Kay, David; Tavener, Simon: A stabilized finite element method for finite-strain three-field poroelasticity (2017)
  4. Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan: An efficient finite element method for simulation of droplet spreading on a topologically rough surface (2017)
  5. Luo, Li; Zhang, Qian; Wang, Xiao-Ping; Cai, Xiao-Chuan: A parallel finite element method for 3D two-phase moving contact line problems in complex domains (2017)
  6. Luo, Li; Zhang, Qian; Wang, Xiao-Ping; Cai, Xiao-Chuan: A parallel two-phase flow solver on unstructured mesh in 3D (2017)
  7. Palacio-Betancur, Viviana; Villada-Gil, Stiven; de Pablo, Juan J.; Hernández-Ortiz, Juan P.: Educating local radial basis functions using the highest gradient of interest in three dimensional geometries (2017)
  8. Rossi, Simone; Griffith, Boyce E.: Incorporating inductances in tissue-scale models of cardiac electrophysiology (2017)
  9. Santiago Badia, Alberto F. Martin, Javier Principe: FEMPAR: An object-oriented parallel finite element framework (2017) arXiv
  10. Schlittler, Thiago Milanetto; Cottereau, Régis: Fully scalable implementation of a volume coupling scheme for the modeling of multiscale materials (2017)
  11. Balajewicz, Maciej; Tezaur, Irina; Dowell, Earl: Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations (2016)
  12. Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto: Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization (2016)
  13. Bauman, Paul T.; Stogner, Roy H.: GRINS: a multiphysics framework based on the libMesh finite element library (2016) ioport
  14. De La Cruz, Luis M.; Ramos, Eduardo: General template units for the finite volume method in box-shaped domains (2016)
  15. Einkemmer, Lukas; Ostermann, Alexander: Overcoming order reduction in diffusion-reaction splitting. II: Oblique boundary conditions (2016)
  16. Guillén-González, F.; Rodríguez Galván, J. R.: On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity (2016)
  17. Homolya, M.; Ham, D. A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  18. Laboure, Vincent M.; McClarren, Ryan G.; Hauck, Cory D.: Implicit filtered $P_N$ for high-energy density thermal radiation transport using discontinuous Galerkin finite elements (2016)
  19. Lima, E. A. B. F.; Oden, J. T.; Hormuth, D. A. II; Yankeelov, T. E.; Almeida, R. C.: Selection, calibration, and validation of models of tumor growth (2016)
  20. Nicholas A. Battista, W. Christopher Strickland, Laura A. Miller: IB2d: a Python and MATLAB implementation of the immersed boundary method (2016) arXiv

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