An overlapping Schwarz method for virtual element discretizations in two dimensions

DOI10.1016/j.camwa.2018.10.043zbMath1442.65425OpenAlexW2900489589WikidataQ128930594 ScholiaQ128930594MaRDI QIDQ2203806

Juan G. Calvo

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.043

zbMATH Keywords

domain decompositionirregular subdomain boundariesoverlapping Schwarz algorithmsvirtual element methodsnodal elliptic problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Additive Schwarz methods for convex optimization with backtracking ⋮ Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method ⋮ Stabilization of the nonconforming virtual element method ⋮ BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations ⋮ Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form ⋮ Preconditioning for finite element methods with strain smoothing ⋮ Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations ⋮ FETI-DP for the Three Dimensional Virtual Element Method ⋮ BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations ⋮ A numerical implementation for the high-order 2D virtual element method in MATLAB ⋮ Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements ⋮ VEM and the mesh

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