A domain decomposition discretization of parabolic problems
β Scribed by Maksymilian Dryja; Xuemin Tu
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 224 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0029-599X
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## Abstract An estimate of the rate of convergence is given for the domain decomposition method for the secondβorder parabolic transmission problem. A brief discussion of the method and some of its applications are presented.
This work deals with the efficient numerical solution of nonlinear parabolic problems posed on a two-dimensional domain β¦. We consider a suitable decomposition of domain β¦ and we construct a subordinate smooth partition of unity that we use to rewrite the original equation. Then, the combination of
Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary cond