Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
| Author(s) : | Yusheng Feng Abani Patra J. T. Oden, |
| Publisher : | N/A |
| Publication Date : | 1997 |
| ISSN : | N/A |
| Abstract : | Abstract. In this paper, the development and implementation of highly parallelizable domain decomposition solvers for adaptive hp finite element methods is discussed. Two-level orthogonalization is used to obtain a reduced system which is preconditioned by a coarse grid operator. The condition number of the preconditioned system, for Poisson problems in two space dimensions, is proved to be bounded by C(1+log Hp/h) 2, |