swMATH ID: 6657
Software Authors: B. S. Kirk, J. W. Peterson, R. H. Stogner, and G. F. Carey
Description: 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.
Homepage: http://libmesh.sourceforge.net/index.php
Keywords: inverse problem; nonlinear optimization problem; material parameter identification; derivatives of eigenvalues and eigenvectors; adjoint problem
Related Software: PETSc; deal.ii; FEniCS; Trilinos; Gmsh; FreeFem++; hypre; p4est; METIS; MOOSE; ParaView; MUMPS; DUNE; Matlab; GitHub; MFEM; BoomerAMG; GRINS; SLEPc; DOLFIN
Cited in: 146 Publications
Further Publications: http://libmesh.sourceforge.net/publications.php
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Cited by 353 Authors

11 Carey, Graham Francis
10 Coutinho, Alvaro L. G. A.
9 Knezevic, David J.
6 Cai, Xiao-Chuan
6 Griffith, Boyce E.
6 Luo, Li
6 Patera, Anthony T.
5 Bangerth, Wolfgang
5 Grave, Malú
5 Peterson, John W.
4 Botti, Lorenzo
4 Camata, Jose J.
4 Huynh, Dinh Bao Phuong
4 Kirk, Benjamin S.
4 Krause, Rolf H.
4 Oden, John Tinsley
4 Smetana, Kathrin
4 Stogner, Roy H.
4 Wang, Xiaoping
3 Caboussat, Alexandre
3 Garg, Vikram V.
3 Gourzoulidis, Dimitrios
3 Keyes, David Elliot
3 Kronbichler, Martin
3 Lima, Ernesto A. B. F.
3 Manzoni, Andrea
3 Nestola, Maria Giuseppina Chiara
3 Petersen, Steffen
3 Quarteroni, Alfio M.
3 von Estorff, Otto
2 Abdulle, Assyr
2 Almeida, Regina C.
2 Amaziane, Brahim
2 Ballani, Jonas
2 Ballarin, Francesco
2 Barone, Matthew F.
2 Barth, William Lee
2 Bauman, Paul T.
2 Berrone, Stefano
2 Bhalla, Amneet Pal Singh
2 Burstedde, Carsten
2 Chen, Xiaoqing
2 Corsini, Alessandro
2 Côrtes, Adriano M. A.
2 De Souza, Giacomo Rosilho
2 Di Pietro, Daniele Antonio
2 Dreyer, Daniel
2 Elias, Renato N.
2 Faghihi, Danial
2 Glowinski, Roland
2 Heister, Timo
2 Hoover, Alexander P.
2 Hormuth, David A. II
2 Jurak, Mladen
2 Kalashnikova, Irina
2 Knepley, Matthew G.
2 Murray, Bruce T.
2 Nguyen, Loi
2 Patankar, Neelesh A.
2 Picasso, Marco
2 Rispoli, Franco
2 Roberts, Nathan V.
2 Rochinha, Fernando Alves
2 Rossa, Andre L.
2 Rossi, Simone
2 Rozza, Gianluigi
2 Saar, Martin O.
2 Tezduyar, Tayfun E.
2 Valli, Andrea M. P.
2 Vogler, Daniel
2 von Planta, Cyrill
2 Yankeelov, Thomas E.
2 Žgaljić Keko, Ana
2 Zhang, Qian
1 Abukhdeir, Nasser Mohieddin
1 Acharya, Shashank
1 Aghav, Hrithik
1 Ahn, Hyung Taek
1 Akbarzadeh, Amir M.
1 Alhadeff, A.
1 Allu, Srikanth
1 Alves, José L. D.
1 Anderson, Michael L.
1 Andrade, Roberto Fernandes Silva
1 Andrs, David
1 Antiga, Luca
1 Arndt, Daniel
1 Arunajatesan, Srinivasan
1 Audigane, Pascal
1 Badia, Santiago
1 Baiges, Joan
1 Balajewicz, Maciej J.
1 Bale, Rahul
1 Barros, Gabriel F.
1 Bassi, Francesco
1 Bastian, Peter
1 Bayona, Camilo
1 Beni, Ali Naderi
1 Berger, Lorenz
1 Berrill, Mark A.
...and 253 more Authors
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Cited in 41 Serials

18 Journal of Computational Physics
15 Computer Methods in Applied Mechanics and Engineering
11 Computers and Fluids
11 SIAM Journal on Scientific Computing
9 International Journal for Numerical Methods in Engineering
8 International Journal for Numerical Methods in Fluids
6 Computational Mechanics
6 Computational Geosciences
5 Computers & Mathematics with Applications
5 ACM Transactions on Mathematical Software
4 Journal of Computational and Applied Mathematics
4 Journal of Scientific Computing
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Communications in Numerical Methods in Engineering
2 Journal of Fluid Mechanics
2 Applied Mathematics and Computation
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Advances in Computational Mathematics
2 European Journal of Mechanics. A. Solids
2 Archives of Computational Methods in Engineering
1 Acta Mechanica
1 Journal of Engineering Mathematics
1 Numerische Mathematik
1 Applied Numerical Mathematics
1 Finite Elements in Analysis and Design
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Mathematical Programming. Series A. Series B
1 Archive of Applied Mechanics
1 Numerical Linear Algebra with Applications
1 International Journal of Computer Vision
1 International Journal of Computational Fluid Dynamics
1 Chaos
1 Nonlinear Analysis. Real World Applications
1 Computational Methods in Applied Mathematics
1 Unitext
1 Algorithms
1 International Journal for Numerical Methods in Biomedical Engineering
1 Statistics and Computing

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