Practical aspect and experienceParallel solvers for nonlinear elliptic problems based on domain decomposition ideas☆
References (34)
- et al.
Adaptive domain decomposition methods for finite and boundary element equations
et al. et al. On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure
Appl. Numer. Math.
(1997)- et al.
Preconditioned Uzawa-type iterative methods for solving mixed finite element equations
Parallele adaptive Mehrgitterverfahren
- et al.
Parallelization of robust multigrid methods: ILU factorization and frequency decomposition method
SIAM J. Sci. Stat. Comput.
(1991) - et al.
The construction of preconditioners for elliptic problems by substructuring I-IV
Math. Comp.
(1986)et al.The construction of preconditioners for elliptic problems by substructuring I-IV
Math. Comp.
(1987)et al.The construction of preconditioners for elliptic problems by substructuring I-IV
Math. Comp.
(1988)et al.The construction of preconditioners for elliptic problems by substructuring I-IV
Math. Comp.
(1989) - et al.
Parallel multilevel preconditioners
Math. Comp.
(1990) A capacitance matrix method for Dirichlet problems on polygonal regions
Numer. Math.
(1982)- et al.
Towards a unified theory of domain decomposition algorithms for elliptic problems
- et al.
Modified cyclic algorithms for solving triangular systems on distributed-memory multiprocessors
SIAM J. Sci. Stat. Comput.
(1988)
LU factorization algorithms on distributed-memory architectures
SIAM J. Sci. Stat. Comput.
(1988)
PARMESH — A parallel mesh generator
Parallel Computing
(1995)
Preprocessing in BE/FE domain decomposition methods
FEMBEM — A parallel solver for linear and nonlinear coupled FE/BE-equations, DFG-Schwerpunkt “Randelementmethoden”
Bibliotheken zur Entwicklung paralleler Algorithmen
The non-overlapping domain decomposition multiplicative Schwarz method
Internat. J. Comput. Math.
(1992)
The approximate Dirichlet domain decomposition method, Part I: An algebraic approach, Part II: Applications to 2nd-order elliptic boundary value problems
Computing
(1991)
et al.The approximate Dirichlet domain decomposition method, Part I: An algebraic approach, Part II: Applications to 2nd-order elliptic boundary value problems
Computing
(1991)
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Efficient and reliable iterative methods for linear systems
2002, Journal of Computational and Applied MathematicsDevelopments and trends in the parallel solution of linear systems
1999, Parallel ComputingParallel incomplete Cholesky preconditioners based on the non-overlapping data distribution
1998, Parallel ComputingThe application of coupled BE/FE formulations in technical magnetic field computations
1998, Computer Methods in Applied Mechanics and EngineeringA novel domain decomposition method for coupled semilinear elliptic equation
2021, Mathematical Methods in the Applied SciencesPerformance of Multi-cores and Multiprocessor Computers for Some 3D Problems of Nonlinear Optics and Gaseous Dynamics
2013, Springer Proceedings in Mathematics and Statistics
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This work is supported by the Austrian Science Fund — “Fonds zur Förderung der wissenschaftlichen Forschung” — under project P 11215-TEC.
Copyright © 1997 Published by Elsevier B.V.