Vector domain decomposition schemes for parabolic equations
| Autor: | Petr N. Vabishchevich |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Partial differential equation
Domain decomposition methods Vector decomposition 010103 numerical & computational mathematics 01 natural sciences Parabolic partial differential equation Finite element method 010101 applied mathematics Computational Mathematics Partition of unity Parabolic cylindrical coordinates Applied mathematics Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Computational Mathematics and Mathematical Physics. 57:1511-1527 |
| ISSN: | 1555-6662 0965-5425 |
| DOI: | 10.1134/s0965542517090135 |
| Popis: | A new class of domain decomposition schemes for finding approximate solutions of timedependent problems for partial differential equations is proposed and studied. A boundary value problem for a second-order parabolic equation is used as a model problem. The general approach to the construction of domain decomposition schemes is based on partition of unity. Specifically, a vector problem is set up for solving problems in individual subdomains. Stability conditions for vector regionally additive schemes of first- and second-order accuracy are obtained. |
| Databáze: | OpenAIRE |
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