Parallel multigrid solvers for 3D unstructured finite element problems in large deformation elasticity and plasticity

DOI<1241::AID-NME946>3.0.CO;2-R 10.1002/(SICI)1097-0207(20000720)48:8<1241::AID-NME946>3.0.CO;2-RzbMath0983.74060OpenAlexW2060559272MaRDI QIDQ4500197

Mark F. Adams

Publication date: 20 November 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000720)48:8<1241::aid-nme946>3.0.co;2-r

zbMATH Keywords

parallel algorithmslarge deformation plasticityunstructured gridmaximal independent setsmultigrid solverlarge deformation elasticityparallel sparse solvers

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Parallel numerical computation (65Y05) Elastic materials (74B99)

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Uses Software

• PETSc

Cites Work

• Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
• AMG for problems of elasticity
• Computational inelasticity
• A parallel multigrid method for history-dependent elastoplasticity computations
• A non-nested Galerkin multi-grid method for solving linear and nonlinear solid mechanics problems
• Adaptive precision floating-point arithmetic and fast robust geometric predicates
• UNSTRUCTURED MULTIGRID METHOD FOR SHELLS
• A Simple Parallel Algorithm for the Maximal Independent Set Problem
• A multi-grid enhanced GMRES algorithm for elasto-plastic problems
• A Parallel Graph Coloring Heuristic
• An efficient multilevel solution scheme for large scale non‐linear systems
• Coarse/fine mesh preconditioners for the iterative solution of finite element problems
• High‐performance multilevel iterative aggregation solver for large finite‐element structural analysis problems