Spectral trisection of finite element models

DOI10.1108/09615530110389199zbMath0977.74060OpenAlexW2139089771MaRDI QIDQ2729162

H. A. Rahimi Bondarabady, Ali Kaveh

Publication date: 18 July 2001

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530110389199

zbMATH Keywords

eigenvaluesLaplacian matrixweighted incidence graphfinite element domain decompositionspectral trisection

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Spectral and related methods applied to problems in solid mechanics (74S25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Topology and graph products; eigenproblems in optimal structural analysis, A new algorithm for domain decomposition of finite element models, Eigensolution of Laplacian matrices for graph partitioning and domain decomposition, Factorization for efficient solution of eigenproblems of adjacency and Laplacian matrices for graph products, A unified method for eigendecomposition of graph products, Review of utilization of genetic algorithms in heat transfer problems

Cites Work

• Unnamed Item
• Partitioning Sparse Matrices with Eigenvectors of Graphs
• Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics
• Finite element mesh decomposition using complementary Laplacian matrix
• Optimized partitioning of unstructured finite element meshes
• Spectral bisection of adaptive finite element meshes for parallel processing