Preconditioned Conjugate Gradient Methods for the Refined FEM Discretizations of Nearly Incompressible Elasticity Problems in Three Dimensions

DOI10.1142/S0219876218501360OpenAlexW2810220004WikidataQ129606749 ScholiaQ129606749MaRDI QIDQ4972709

Zhenyou Li, Ying-Xiong Xiao

Publication date: 26 November 2019

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218501360

zbMATH Keywords

algebraic multigriddistance matrixnearly incompressible elasticitypreconditioning methodrefined elementvolume-locking phenomenon

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (2)

A Five-Parameter Class of Derivative-Free Spectral Conjugate Gradient Methods for Systems of Large-Scale Nonlinear Monotone Equations ⋮ Construction of a Preconditioner for General Elliptic Problems Using Riesz Map

Uses Software

• BoomerAMG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New stable mixed finite element approximations for problems in linear elasticity
• An aggregation-based algebraic multigrid method
• A family of mixed finite elements for linear elasticity
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
• Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
• Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials
• Algebraic Multigrid Based on Element Interpolation (AMGe)
• Reducing complexity of algebraic multigrid by aggregation
• An efficient hierarchical preconditioner for quadratic discretizations of finite element problems
• A new smoothed aggregation multigrid method for anisotropic problems
• A geometric-based algebraic multigrid method for higher-order finite element equations in two-dimensional linear elasticity
• An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes
• AMG by element agglomeration and constrained energy minimization interpolation
• A Nonconforming Mixed Multigrid Method for the Pure Traction Problem in Planar Linear Elasticity
• Spectral AMGe ($\rho$AMGe)
• An Algebraic Multigrid Method for Linear Elasticity
• Refined quadrilateral element based on Mindlin/Reissner plate theory

This page was built for publication: Preconditioned Conjugate Gradient Methods for the Refined FEM Discretizations of Nearly Incompressible Elasticity Problems in Three Dimensions