Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem

DOI10.1016/j.cam.2023.115640MaRDI QIDQ6126068

Eun-Hee Park, Hyea Hyun Kim

Publication date: 9 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

condition numberStokes problemDirichlet preconditionerlumped preconditionerdiscontinuous viscositycoarse problemnon-overlapping subdomain partition

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• An adaptive choice of primal constraints for BDDC domain decomposition algorithms
• An algebraic theory for primal and dual substructuring methods by constraints
• A domain decomposition technique for Stokes problems
• A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients
• BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients
• Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems
• Adaptive BDDC in three dimensions
• Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
• A unified framework for adaptive BDDC
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Adaptive Coarse Spaces for FETI-DP in Three Dimensions
• A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures
• A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns
• A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations
• A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
• FETI-DP, BDDC, and block Cholesky methods
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• A FETI–DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns
• A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations
• BDDC Algorithms for Incompressible Stokes Equations

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