An Algebraic Multigrid Method for Linear Elasticity
From MaRDI portal
Publication:4442475
DOI10.1137/S1064827502407810zbMath1163.65336OpenAlexW2095508660MaRDI QIDQ4442475
Marc Alexander Schweitzer, Michael Griebel, D. Oeltz
Publication date: 20 January 2004
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1064827502407810
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
Deflated preconditioned conjugate gradient solvers for linear elasticity, Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems, A robust preconditioner for higher order finite element discretizations in linear elasticity, Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation, An adaptive generalized multiscale finite element method based two-grid preconditioner for large scale high-contrast linear elasticity problems, An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions, An algebraic multigrid method with interpolation reproducing rigid body modes for semi-definite problems in two-dimensional linear elasticity, Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems, Block-partitioned solvers for coupled poromechanics: a unified framework, Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials, A comparative study of scalable multilevel preconditioners for cardiac mechanics, Preconditioning for finite element methods with strain smoothing, Fast multiscale contrast independent preconditioners for linear elastic topology optimization problems, A Study of Prolongation Operators Between Non-nested Meshes, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems, Multigrid methods on semi-structured grids, A geometric-based algebraic multigrid method for higher-order finite element equations in two-dimensional linear elasticity, Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models, A robust adaptive algebraic multigrid linear solver for structural mechanics, A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation, An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes, Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation, Numerical simulation of fluid-structure interaction problems on hybrid meshes with algebraic multigrid methods, A local least-squares method for solving nonlinear partial differential equations of second order, A node-based agglomeration AMG solver for linear elasticity in thin bodies, Update-grid reanalysis method based on NS-FEM for 3D heat transfer problems, A damping preconditioner for time-harmonic wave equations in fluid and elastic material, Preconditioned Conjugate Gradient Methods for the Refined FEM Discretizations of Nearly Incompressible Elasticity Problems in Three Dimensions, Numerical solvers for a poromechanic problem with a moving boundary, A novel multi-grid assisted reanalysis for re-meshed finite element models, Multigrid finite element methods on semi-structured triangular grids for planar elasticity, Improving algebraic multigrid interpolation operators for linear elasticity problems, A phase-field method for elastic mechanics with large deformation