Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems
DOI10.1080/00207169208804111zbMath0758.65022OpenAlexW2022528141MaRDI QIDQ4021073
Jian Shen, Richard E. Ewing, Panayot S. Vassilevski
Publication date: 17 January 1993
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169208804111
performancepreconditioned conjugate gradient methodvectorizationmixed finite elementincomplete factorizationNumerical resultssecond-order elliptic differential equations
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations
- Positive definiteness aspects of vectorizable preconditioners
- The block preconditioned conjugate gradient method on vector computers
- A finite element - capacitance method for elliptic problems on regions partitioned into subregions
- On approximate factorization methods for block matrices suitable for vector and parallel processors
- On the multi-level splitting of finite element spaces
- A general incomplete block-matrix factorization method
- The hierarchical basis multigrid method
- Algebraic multilevel preconditioning methods. I
- A capacitance matrix method for Dirichlet problem on polygon region
- Algorithms for construction of preconditioners based on incomplete block-factorizations of the matrix
- Algebraic Multilevel Preconditioning Methods, II
- Block Preconditioning for the Conjugate Gradient Method
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures