A spatial domain decomposition method for parabolic optimal control problems
Journal of Computational and Applied Mathematics
A domain decomposition method for conservation laws with discontinuous flux function
Applied Numerical Mathematics
Application of domain decomposition methods to indoor air flow simulation
International Journal of Computer Mathematics - INNOVATIVE ALGORITHMS IN SCIENCE AND ENGINEERING
Parallel domain decomposition procedures of improved D-D type for parabolic problems
Journal of Computational and Applied Mathematics
Optimized Domain Decomposition Methods for the Spherical Laplacian
SIAM Journal on Numerical Analysis
The Optimized Schwarz Method with a Coarse Grid Correction
SIAM Journal on Scientific Computing
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The application of a non-overlapping domain decomposition method tothe solution of a stabilized finite element method for elliptic boundaryvalue problems is considered. We derive an a-posteriori error estimatewhich bounds the error on the subdomains by the interface error of thesubdomain solutions. As a by-product, some foundation is given to thedesign of the interface transmission condition. Numerical resultssupport the theoretical results. Furthermore, we adapt a recent resulton a-posteriori estimates for singular perturbation problems in order toobtain an a-posteriori estimate for the discrete subdomainsolutions.—Authors' Abstract