Vector domain decomposition schemes for parabolic equations |
| |
Authors: | P N Vabishchevich |
| |
Institution: | 1.Nuclear Safety Institute,Russian Academy of Sciences,Moscow,Russia;2.Ammosov North-Eastern Federal University,Yakutsk,Russia |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|