Name
Title | ||
|---|---|---|
Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems |
Abstract | ||
|---|---|---|
An algebraic multigrid algorithm for symmetric, positive definite linear systems is developed based on the concept of prolongation by smoothed aggregation. Coarse levels are generated automatically. We present a set of requirements motivated heuristically by a convergence theory. The algorithm then attempts to satisfy the requirements. Input to the method are the coefficient matrix and zero energy modes, which are determined from nodal coordinates and knowledge of the differential equation. Efficiency of the resulting algorithm is demonstrated by computational results on real world problems from solid elasticity, plate bending, and shells. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1007/BF02238511 | Computing |
Keywords | Field | DocType |
plate bending,finite element method,differential equation,interpolation,linear system,algebra,algebraic multigrid,linear systems,approximation,elliptic functions,boundary value problems,biharmonic equation,satisfiability | Convergence (routing),Elliptic function,Mathematical optimization,Linear system,Mathematical analysis,Interpolation,Finite element method,Partial differential equation,Multigrid method,Elliptic curve,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 3 | 1436-5057 |
Citations | PageRank | References |
167 | 23.96 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petr Vanek | 1 | 185 | 29.31 |
| Jan Mandel | 2 | 444 | 69.36 |
| Marian Brezina | 3 | 299 | 43.34 |