Abstract
Iterative substructuring methods form an important family of domain decomposition algorithms for elliptic finite element problems. A p-version finite element method based on continuous, piecewise Qp functions is considered for second-order elliptic problems in three dimensions; this special method can also be viewed as a conforming spectral element method. An iterative method is designed for which the condition number of the relevant operator grows only in proportion to ( 1 + log p)2. This bound is independent of jumps in the coefficient of the elliptic problem across the interfaces between the subregions. Numerical results are also reported which support the theory.
Original language | English (US) |
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Pages (from-to) | 1303-1335 |
Number of pages | 33 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 33 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1996 |
Keywords
- Domain decomposition
- Iterative substructuring
- Spectral approximation
- p-version finite elements
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics