SIAM Journal on Scientific and Statistical Computing
Domain decomposition on parallel computers
IMPACT of Computing in Science and Engineering
Efficient Tridiagonal Solvers on Multicomputers
IEEE Transactions on Computers
Multiplicative Schwarz methods for parabolic problems
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Application and accuracy of the parallel diagonal dominant algorithm
Parallel Computing
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
SIAM Journal on Scientific Computing
Reduction of chemical kinectics in air pollution modeling
Journal of Computational Physics
Proceedings of the 2001 ACM/IEEE conference on Supercomputing
SIAM Journal on Scientific Computing
A class of stable, globally noniterative, nonoverlapping domain decomposition algorithms for the simulation of parabolic evolutionary systems
Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series)
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Stabilized explicit implicit domain decomposition (SEIDD) is a class of globally non-iterative domain decomposition methods for the numerical simulation of unsteady diffusion processes on parallel computers. By adding a communication-cost-free stabilization step to the explicit-implicit domain decomposition (EIDD) methods, the SEIDD methods achieve high stability but with the restriction that the interface boundaries have no crossing-overs inside the domain. In this paper, we present a parallelized SEIDD algorithm with paralellism higher than the number of subdomains, eliminating the disadvantage of non-crossing-over interface boundaries at a slight computation cost.