
doi: 10.1137/0613018
The authors investigate an algebraic technique for constructing interface preconditioners in domain decomposition algorithms which can be used for solving linear systems arising from the discretization of elliptic partial differential equations. The method is based on the approximation of the interface matrices by matrices with a specified sparsity pattern. Many theoretical and numerical results are presented.
Iterative numerical methods for linear systems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, interface probing technique, Numerical computation of matrix norms, conditioning, scaling, Numerical solution of discretized equations for boundary value problems involving PDEs, numerical results, interface preconditioners, Computational methods for sparse matrices, Boundary value problems for second-order elliptic equations, interface matrices, sparsity pattern, domain decomposition algorithms
Iterative numerical methods for linear systems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, interface probing technique, Numerical computation of matrix norms, conditioning, scaling, Numerical solution of discretized equations for boundary value problems involving PDEs, numerical results, interface preconditioners, Computational methods for sparse matrices, Boundary value problems for second-order elliptic equations, interface matrices, sparsity pattern, domain decomposition algorithms
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