A parallel solver for adaptive finite element discretizations

DOI10.1007/s11075-005-3143-5zbMath1082.65121OpenAlexW2011733865MaRDI QIDQ2583225

Maria Morandi Cecchi, Fabio Marcuzzi

Publication date: 13 January 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-005-3143-5

zbMATH Keywords

algorithmslinear systemsfinite elementsnumerical examplesdomain decompositionadaptivityrecursive mesh refinement/unrefinement

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Integration of parallel computation and dynamic mesh refinement for transient spray simulation ⋮ An anisotropic unstructured triangular adaptive mesh algorithm based on error and error gradient information

Uses Software

• ALBERT

Cites Work

• Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators
• The variational multiscale method -- a paradigm for computational mechanics
• An approximate waves-bordering algorithm for adaptive finite elements analysis
• Design and data structure of fully adaptive, multigrid, finite-element software
• A Minimal Storage Implementation of the Minimum Degree Algorithm
• The Multifrontal Method for Sparse Matrix Solution: Theory and Practice
• The multifrontal method and paging in sparse Cholesky factorization
• A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation
• A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method
• A fast numerical homogenization algorithm for finite element analysis
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