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 114 articles , 1 standard article )

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  1. Knezevic, David J.; Süli, Endre: A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model (2009)
  2. Lu, Yujie; Chatziioannou, Arion F.: A parallel adaptive finite element method for the simulation of photon migration with the radiative-transfer-based model (2009)
  3. Valli, A. M. P.; Elias, R. N.; Carey, G. F.; Coutinho, A. L. G. A.: PID adaptive control of incremental and arclength continuation in nonlinear applications (2009)
  4. Wang, Shun; de Sturler, Eric: Multilevel sparse approximate inverse preconditioners for adaptive mesh refinement (2009)
  5. Kröger, Tim; Preusser, Tobias: Stability of the 8-tetrahedra shortest-interior-edge partitioning method (2008)
  6. Stogner, Roy H.; Carey, Graham F.; Murray, Bruce T.: Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening with (C^1) elements (2008)
  7. Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C.: Automated FEM discretizations for the Stokes equation (2008)
  8. Bangerth, Wolfgang; Hartmann, Ralf; Kanschat, Guido: deal.ii -- a general-purpose object-oriented finite element library. (2007)
  9. Peterson, J. W.; Carey, G. F.; Knezevic, D. J.; Murray, B. T.: Adaptive finite element methodology for tumour angiogenesis modelling (2007)
  10. Berrone, Stefano: Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients (2006)
  11. Dreyer, D.; Petersen, S.; Von Estorff, O.: Effectiveness and robustness of improved infinite elements for exterior acoustics (2006)
  12. Kirk, Benjamin S.; Peterson, John W.; Stogner, Roy H.; Carey, Graham F.: libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations (2006) ioport
  13. Petersen, Steffen; Dreyer, Daniel; von Estorff, Otto: Assessment of finite and spectral element shape functions for efficient iterative simulations of interior acoustics (2006)
  14. Carey, Graham F.; Barth, William; Woods, Juliette A.; Kirk, Benjamin S.; Anderson, Michael L.; Chow, Sum; Bangerth, Wolfgang: Modelling error and constitutive relations in simulation of flow and transport (2004)

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