OOF2: The Manual
| LinearSolver | ||
|---|---|---|
|
6.4.1. Base RegisteredClasses |  |
Name
LinearSolver — Solution methods for linear matrix equations.
Subclasses
Subclasses are listed as they appear in the GUI and (in parentheses) as they appear in scripts.
-
CG (
CGSolver) -- Conjugate Gradient method for solving symmetric matrices. -
GMRES (
GMRESSolver) -- Generalized Minimal Residual method. An iterative method for non-symmetric matrices. -
BiCG (
BiCGSolver) -- Bi-Conjugate Gradient method. An iterative method for non-symmetric matrices. -
BiCGStab (
BiCGStabSolver) -- Stabilized Bi-Conjugate Gradient method for non-symmetric matrices. -
Direct (
DirectSolver) -- A non-iterative non-sparse matrix solver using LU decomposition. Uses a lot of memory. Not recommended if the finite element mesh is large.
Description
LinearSolvers are applied by Drivers
to solve the linear matrix equations that arise when solving Equations on a
Mesh.
The different types of LinearSolver are
applicable to different types of matrix equations. The reference
page for each subclass gives some information about its
applicability. In particular, solution methods for
symmetric matrices can take advantage of the
symmetry to obtain a solution more efficiently. OOF2 constructs
symmetric matrices when possible, and only allows the symmetric
solver (CGSolver) to be used in
those cases.
The matrices that arise in finite element calculations are
generally sparse, meaning that many of their
entries are zero. Sparse matrices can be stored efficiently by
only retaining the non-zero values. The
iterative
LinearSolvers have the advantageous
property of not requiring storage for the full matrix. DirectSolver solvers, on the other hand,
generate intermediate values at all matrix entries, and so their
storage requirements are much larger.
|
|
 |
|
| IterationManager |  |
MeshBdyAnalyzer |
/* OOF home */ /* OOF2 home */ /* Send mail to the OOF Team */