A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method (Q1917447)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method |
scientific article; zbMATH DE number 897533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method |
scientific article; zbMATH DE number 897533 |
Statements
A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method (English)
0 references
10 July 2000
0 references
The authors present an algorithm for solving systems of parabolic partial differential equations in three space dimensions. Approximate solutions are obtained using Galerkin's method with a high-order piecewise polynomial hierarchical basis in space and the differential algebraic equations code DASPK in time. A comparison of a variant of DASPK that computes Jacobian vector products with a stored analytic Jacobian and default matrix-free approximation of the Jacobian vector product on three test problems is presented. A few preconditioners are also compared.
0 references
nonlinear parabolic systems
0 references
preconditioning
0 references
numerical examples
0 references
algorithm
0 references
Galerkin's method
0 references
0 references
0 references
0 references
