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- Title
Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation.
- Authors
Bo Zhang; Jixin Chen; Danping Yang
- Abstract
A parallel domain de-composition algorithm for solving an optimal control problem governed by a parabolic partial differential equation is proposed. This algorithm is based upon non-overlapping domain decomposition. In every iteration, the global problem is reduced to solve simultaneously some implicit subproblems on many sub-domains by using explicit flux approximations near inner-boundaries at each timestep. Both a priori error bounds of optimal orders and optimal rates of convergence for the iterative schemes are presented. Numerical experiments are also performed to verified the theoretical analysis.
- Subjects
DIFFERENTIAL equations; ALGORITHMS; MATHEMATICAL physics; ALGEBRA; EXPERIMENTAL design
- Publication
Journal of Numerical Mathematics, 2017, Vol 25, Issue 1, p35
- ISSN
1570-2820
- Publication type
Article
- DOI
10.1515/jnma-2015-0092