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 49 articles , 1 standard article )

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  1. Bauman, Paul T.; Stogner, Roy H.: GRINS: a multiphysics framework based on the libMesh finite element library (2016)
  2. 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)
  3. Homolya, M.; Ham, D.A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  4. 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)
  5. Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico: Reduced basis methods for partial differential equations. An introduction (2016)
  6. Smetana, Kathrin; Patera, Anthony T.: Optimal local approximation spaces for component-based static condensation procedures (2016)
  7. Beskos, Alexandros; Jasra, Ajay; Muzaffer, Ege A.; Stuart, Andrew M.: Sequential Monte Carlo methods for Bayesian elliptic inverse problems (2015)
  8. Witkowski, T.; Ling, S.; Praetorius, S.; Voigt, A.: Software concepts and numerical algorithms for a scalable adaptive parallel finite element method (2015)
  9. Corsini, A.; Rispoli, F.; Sheard, A.G.; Takizawa, K.; Tezduyar, T.E.; Venturini, P.: A variational multiscale method for particle-cloud tracking in turbomachinery flows (2014)
  10. Kalashnikova, Irina; Barone, Matthew F.; Arunajatesan, Srinivasan; van Bloemen Waanders, Bart G.: Construction of energy-stable projection-based reduced order models (2014)
  11. Matveenko, V.P.; Shardakov, I.N.; Shestakov, A.P.; Wasserman, I.N.: Development of finite element models for studying the electrical excitation of myocardium (2014)
  12. Nagler, Loris; Rong, Ping; Schanz, Martin; von Estorff, Otto: Sound transmission through a poroelastic layered panel (2014)
  13. Shi, Yi; Wang, Xiao-Ping: Modeling and simulation of dynamics of three-component flows on solid surface (2014)
  14. Weinbub, Josef; Rupp, Karl; Selberherr, Siegfried: Highly flexible and reusable finite element simulations with ViennaX (2014)
  15. Zhu, Y.; Luo, X.Y.; Gao, H.; Mccomb, C.; Berry, C.: A numerical study of a heart phantom model (2014)
  16. Bhalla, Amneet Pal Singh; Bale, Rahul; Griffith, Boyce E.; Patankar, Neelesh A.: A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies (2013)
  17. Espinha, Rodrigo; Park, Kyoungsoo; Paulino, Glaucio H.; Celes, Waldemar: Scalable parallel dynamic fracture simulation using an extrinsic cohesive zone model (2013)
  18. Günther, Andreas; Lamecker, Hans; Weiser, Martin: Flexible shape matching with finite element based LDDMM (2013)
  19. Raghavan, Hari K.; Vadhiyar, Sathish S.: Efficient asynchronous executions of AMR computations and visualization on a GPU system (2013)
  20. Rossi, R.; Cotela, J.; Lafontaine, N.M.; Dadvand, P.; Idelsohn, S.R.: Parallel adaptive mesh refinement for incompressible flow problems (2013)

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