Name
Abstract | ||
|---|---|---|
For problems with strongly varying or discontinuous diffusion coefficients we present a method to compute coarse-scale operators and to approximately determine the effective diffusion tensor on the coarse-scale level. The approach is based on techniques that are used in multigrid, such as matrix-dependent prolongations and the construction of coarse-grid operators by means of the Galerkin approximation. In numerical experiments we compare our multigrid-homogenization method with continuous homogenization, renormalization, and simple averaging approaches. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1137/S1064827596304848 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
diffusion problems,numerical experiment,matrix-dependent multigrid homogenization,multigrid-homogenization method,coarse-scale level,continuous homogenization,coarse-grid operator,galerkin approximation,discontinuous diffusion,coarse-scale operator,effective diffusion tensor,matrix-dependent prolongation,schur complement,multigrid,diffusion coefficient,homogenization | Discretization,Mathematical optimization,Matrix (mathematics),Mathematical analysis,Iterative method,Homogenization (chemistry),Galerkin method,Operator (computer programming),Mathematics,Multigrid method,Diffusion equation | Journal |
Volume | Issue | ISSN |
20 | 2 | 1064-8275 |
Citations | PageRank | References |
13 | 1.72 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stephan Knapek | 1 | 22 | 3.00 |