SIAM Journal on Scientific and Statistical Computing
Domain decomposition on parallel computers
IMPACT of Computing in Science and Engineering
Multiplicative Schwarz methods for parabolic problems
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
A highly accurate fast solver for Helmholtz equations
ICS '97 Proceedings of the 11th international conference on Supercomputing
Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
SIAM Journal on Scientific Computing
A high order ADI method for separable generalized Helmholtz equations
Advances in Engineering Software - Special issue on large-scale analysis, design and intelligent synthesis environments
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems
Applied Mathematics and Computation
A high-order fast direct solver for singular Poisson equation
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
Hi-index | 7.29 |
Explicit-implicit domain decomposition (EIDD) is a class of globally non-iterative, non-overlapping domain decomposition methods for the numerical solution of parabolic problems on parallel computers, which are highly efficient both computationally and communicationally for each time step. In this paper an alternating EIDD method is proposed which is algorithmically simple, efficient for each time step, highly parallel, and satisfies a stability condition that imposes no additional restriction to the time step restriction imposed by the consistency condition, which guarantees a convergence of order O(@Dth^-^1N"B/N)+O(h^2) in an H^1-type norm, where N"B and N, respectively, denote the number of gridpoints on the interface boundaries B and the number of gridpoints on the entire discrete domain.