.. Copyright (c) 1998 Lawrence Livermore National Security, LLC and other HYPRE Project Developers. See the top-level COPYRIGHT file for details. SPDX-License-Identifier: (Apache-2.0 OR MIT) SplitSolve ============================================================================== SplitSolve is a parallel block Gauss-Seidel solver for semi-structured problems with multiple parts. For problems with only one variable, it can be viewed as a domain-decomposition solver with no grid overlapping. Consider a multiple part problem given by the linear system :math:`Ax=b`. Matrix :math:`A` can be decomposed into a structured intra-variable block diagonal component :math:`M` and a component :math:`N` consisting of the inter-variable blocks and any unstructured connections between the parts. SplitSolve performs the iteration .. math:: x_{k+1} = \tilde{M}^{-1} (b + N x_k), where :math:`\tilde{M}^{-1}` is a decoupled block-diagonal V(1,1) cycle, a separate cycle for each part and variable type. There are two V-cycle options, SMG and PFMG. .. Add blank lines to help with navigation pane formatting | | | | | | | | | | | | | | | | | | | | | |