UNSTRUCTURED MULTIGRID METHOD FOR SHELLS

DOI<1181::AID-NME899>3.0.CO;2-Y 10.1002/(SICI)1097-0207(19960415)39:7<1181::AID-NME899>3.0.CO;2-YzbMath0865.73059OpenAlexW2126479365MaRDI QIDQ3122352

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Publication date: 6 July 1997

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960415)39:7<1181::aid-nme899>3.0.co;2-y

zbMATH Keywords

iterative processacceleration schemessmoothing proceduresintergrid transfer operatorsassumed strain degenerated solid shell elementflat shell triangular elementmodified incoplete Cholesky factorization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items (7)

Finite element models with node-dependent kinematics based on Legendre polynomials for the global-local analysis of compact and thin walled beams ⋮ Unnamed Item ⋮ Parallel solution of linear system of equations using a column oriented approach ⋮ A parallel implementation of Wang's method for solving tridiagonal systems ⋮ Parallel multigrid solvers for 3D unstructured finite element problems in large deformation elasticity and plasticity ⋮ Coarse mesh evolution strategies in the Galerkin multigrid method with adaptive remeshing for geometrically non-linear problems ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

• Large-scale vectorized implicit calculations in solid mechanics on a Cray X-MP/48 utilizing EBE preconitioned conjugate gradients
• A multi-grid method for variational inequalities in contact problems
• Multigrid method for periodic heterogeneous media. II: Multiscale modeling and quality control in multidimensional case.
• Multigrid method for periodic heterogeneous media. I: Convergence studies for one-dimensional case.
• An unstructured multigrid method for elliptic problems
• A compatible triangular element including vertex rotations for plane elasticity analysis
• A flat triangular shell element with improved membrane interpolation
• A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
• A study of three-node triangular plate bending elements
• An efficient multilevel solution scheme for large scale non‐linear systems
• A coarse/fine preconditioner for very ill‐conditioned finite element problems
• The multigrid method in solid mechanics: Part I—Algorithm description and behaviour
• A relaxation method for solving elliptic difference equations

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