Name
Abstract | ||
|---|---|---|
The FETI-DP, BDDC and P-FETI-DP preconditioners are derived in a particulary simple abstract form. It is shown that their properties can be obtained from only a very small set of algebraic assumptions. The presentation is purely algebraic and it does not use any particular definition of method components, such as substructures and coarse degrees of freedom. It is then shown that P-FETI-DP and BDDC are in fact the same. The FETI-DP and the BDDC preconditioned operators are of the same algebraic form, and the standard condition number bound carries over to arbitrary abstract operators of this form. The equality of eigenvalues of BDDC and FETI-DP also holds in the minimalist abstract setting. The abstract framework is explained on a standard substructuring example. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s00607-007-0254-y | Computing |
Keywords | Field | DocType |
condition number,degree of freedom | FETI-DP,BDDC,Condition number,Algebraic number,Algebra,Mathematical analysis,Operator (computer programming),Small set,Domain decomposition methods,Calculus,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
81 | 4 | Computing 81(4), 269-280, 2007 |
Citations | PageRank | References |
9 | 0.67 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Mandel | 1 | 444 | 69.36 |
| B. Sousedík | 2 | 10 | 1.04 |