Effective Two-Level Domain Decomposition Preconditioners for Elastic Crack Problems Modeled by Extended Finite Element Method

DOI10.4208/CICP.OA-2020-0009zbMath1473.65294OpenAlexW3082056121MaRDI QIDQ5162352

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Publication date: 2 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2020-0009

zbMATH Keywords

domain decompositionextended finite element methodnon-matching gridtwo-level preconditionerselastic crack problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Brittle fracture (74R10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM ⋮ Optimizing the search directions of a mixed DDM applied on cracks ⋮ A parallel scalable domain decomposition preconditioner for elastic crack simulation using XFEM ⋮ A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation

Cites Work

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• Stable generalized finite element method (SGFEM)
• A simple and efficient preconditioning scheme for Heaviside enriched XFEM
• Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
• Strongly stable generalized finite element method: application to interface problems
• A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
• Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
• A robust preconditioning technique for the extended finite element method
• Fast integration and weight function blending in the extended finite element method
• Elastic crack growth in finite elements with minimal remeshing
• Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• A finite element method for crack growth without remeshing

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