A comparison of projective and direct solvers for finite elements in elastostatics

DOI10.1016/j.advengsoft.2008.11.010zbMath1272.74613OpenAlexW2064866134MaRDI QIDQ1028197

Andrea Comerlati, Giuseppe Gambolati, Carlo Janna

Publication date: 30 June 2009

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2008.11.010

zbMATH Keywords

preconditioningconjugate gradientKrylovreorderings

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (9)

Mixed constraint preconditioning in computational contact mechanics ⋮ Two-Level Block Preconditioners for Contact Problems ⋮ An octree pattern-based massively parallel PCG solver for elasto-static and dynamic problems ⋮ Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives ⋮ Efficient parallel solution to large‐size sparse eigenproblems with block FSAI preconditioning ⋮ A comparison of projective and direct solvers for finite elements in elastostatics ⋮ Multi-level incomplete factorizations for the iterative solution of non-linear finite element problems ⋮ Preconditioners in computational geomechanics: A survey ⋮ The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study

Uses Software

• MA57
• METIS
• ILUS
• symrcm
• ILUT

Cites Work

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• A comparison of projective and direct solvers for finite elements in elastostatics
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• The effect of ordering on preconditioned conjugate gradients
• Ordering techniques for the preconditioned conjugate gradient method on parallel computers
• The effect of orderings on sparse approximate inverse preconditioners for non-symmetric problems
• Studies of finite element proceduresan evaluation of preconditioned iterative solvers
• Orderings for Conjugate Gradient Preconditionings
• Ordering Methods for Preconditioned Conjugate Gradient Methods Applied to Unstructured Grid Problems
• Numerical Linear Algebra for High-Performance Computers
• Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
• Orderings for Parallel Conjugate Gradient Preconditioners
• ILUS: An incomplete LU preconditioner in sparse skyline format
• Crout Versions of ILU for General Sparse Matrices
• Orderings for Factorized Sparse Approximate Inverse Preconditioners
• Problem-dependent preconditioners for iterative solvers in FE elastostatics
• The effect of ordering on preconditioned GMRES algorithm, for solving the compressible Navier‐Stokes equations
• Incomplete Cholesky Factorizations with Limited Memory
• ILUT: A dual threshold incomplete LU factorization

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