A BDDC algorithm for flow in porous media with a hybrid finite element discretization

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130542

zbMATH Keywords

rate of convergence domain decomposition saddle point problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (20)

A BDDC Algorithm for Weak Galerkin Discretizations ⋮ Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media ⋮ A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations ⋮ A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems ⋮ Robust BDDC algorithms for finite volume element methods ⋮ Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems ⋮ BDDC for MHFEM discretization of unsteady two-phase flow in porous media ⋮ BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields ⋮ Nested BDDC for a saddle-point problem ⋮ A three-level BDDC algorithm for a saddle point problem ⋮ Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations ⋮ Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ A BDDC algorithm for the Stokes problem with weak Galerkin discretizations ⋮ BDDC for mixed‐hybrid formulation of flow in porous media with combined mesh dimensions ⋮ A BDDC Preconditioner for Problems Posed in H(div) with Deluxe Scaling ⋮ PCBDDC: A Class of Robust Dual-Primal Methods in PETSc ⋮ On adaptive BDDC for the flow in heterogeneous porous media. ⋮ Robust BDDC algorithms for the Brinkman problem with HDG discretizations ⋮ A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations

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