×

Belos

swMATH ID: 12725
Software Authors: Bavier, Eric; Hoemmen, Mark; Rajamanickam, Sivasankaran; Thornquist, Heidi
Description: Belos provides next-generation iterative linear solvers and a powerful linear solver developer framework. This framework includes the following abstract interfaces and implementations: Abstract interfaces to linear algebra using traits mechanisms. This allows the user to leverage any existing investment in their description of matrices and vectors. The provided concrete linear algebra adapters enable Belos to be used anywhere Epetra and Thyra are employed for linear algebra services. Abstract interfaces to orthogonalization; implementations of iterated classical Gram-Schmidt (ICGS), classical Gram-Schmidt with a DGKS correction step, and iterated modified Gram-Schmidt (IMGS) are included. Abstract interfaces to iteration kernels; implementations of conjugate gradient (CG), block CG, block GMRES, pseudo-block GMRES, block flexible GMRES, and GCRO-DR iterations are included. Powerful solver managers are provided for solving a linear system using CG or block CG, GMRES or block GMRES with restarting, pseudo-block GMRES for performing single-vector GMRES simultaneously on multiple right-hand sides, and a single-vector recycled Krylov method (GCRO-DR). Basic linear problem class is provided for the user to define a unpreconditioned or preconditioned (left, right, two-sided) linear system for Belos to solve.
Homepage: https://trilinos.org/packages/belos/
Related Software: Trilinos; Amesos2; MueLu; Kokkos; ML; Tpetra; FROSch; Gmsh; GitHub; MUMPS; PETSc; CUDA; hypre; Stokhos; ParMETIS; FreeFem++; Elemental; SLEPc; AztecOO; SuperLU
Cited in: 20 Documents
all top 5

Cited by 73 Authors

4 Hu, Jonathan Joseph
3 D’Elia, Marta
3 Perego, Mauro
3 Phipps, Eric T.
3 Rajamanickam, Sivasankaran
2 Cyr, Eric C.
2 Edwards, H. Carter
2 Howle, Victoria E.
2 Jolivet, Pierre
2 Kim, Kyungjoo
2 Lin, Paul T.
2 Parks, Michael L.
2 Pawlowski, Roger P.
1 Ananthan, Shreyas
1 Arbenz, Peter
1 Atzberger, Paul J.
1 Audibert, Lorenzo
1 Aulisa, Eugenio
1 Bettencourt, Matthew T.
1 Bornia, Giorgio
1 Brown, Dominic A. S.
1 Cartwright, Keith L.
1 Deparis, Simone
1 Dillon, Geoffrey
1 Ebeida, Mohamed S.
1 Esmaily, Mahdi
1 Evans, Thomas M.
1 Fang, Rui
1 Forti, Davide
1 Francois, Marianne M.
1 Ghosh, Supriyo
1 Girardon, Hugo
1 Glusa, Christian A.
1 Grandperrin, Gwenol
1 Gross, Ben J.
1 Haddar, Houssem
1 Hamilton, Steven P.
1 Heinlein, Alexander
1 Hoemmen, Mark
1 Hupp, Daniel
1 Iaccarino, Gianluca
1 Jarvis, Stephen A.
1 Jofre, Lluís
1 Jones, John P.
1 Ke, Guoyi
1 Kirby, Robert C.
1 Kronbichler, Martin
1 Kuberry, Paul Allen
1 Maheswaran, Satheesh
1 Mani, Ali
1 Maxey, Martin R.
1 Mcgregor, Duncan A. O.
1 Moore, Stan G.
1 Newman, Christopher K.
1 Obrist, Dominik
1 Pan, Wenxiao
1 Phillips, Edward G.
1 Quarteroni, Alfio M.
1 Roberts, Nathan V.
1 Román, Jose E.
1 Rushdi, Ahmad A.
1 Shadid, John N.
1 Sprague, Michael A.
1 Tartakovsky, Alexandre M.
1 Thomas, Stephen J.
1 Trask, Nathaniel A.
1 Wall, Wolfgang A.
1 Wright, Steven A.
1 Wurzer, Maximilian
1 Xu, Jinchao
1 Yang, Kai
1 Yellapantula, S.
1 Zampini, Stefano
all top 5

Cited in 9 Serials

6 Journal of Computational Physics
5 SIAM Journal on Scientific Computing
2 Computer Methods in Applied Mechanics and Engineering
1 Computers & Mathematics with Applications
1 Journal of Computational and Applied Mathematics
1 Numerical Linear Algebra with Applications
1 International Journal of Computational Fluid Dynamics
1 Communications in Computational Physics
1 SIAM/ASA Journal on Uncertainty Quantification
all top 5

Cited in 10 Fields

15 Numerical analysis (65-XX)
9 Fluid mechanics (76-XX)
7 Partial differential equations (35-XX)
3 Probability theory and stochastic processes (60-XX)
3 Optics, electromagnetic theory (78-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year