On the symmetrization of the BEM formulation

DOI10.1016/0045-7825(88)90083-7zbMath0674.73060OpenAlexW2083605802MaRDI QIDQ1121716

Christopher G. Provatidis, Andreas E. Kanarachos

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90083-7

zbMATH Keywords

Dirichlet problemscompatibilitydynamic problemsstaticsymmetric formulationconstruction of normalized (1-0)-type shape functionscorner problemsdirect boundary elementGalerkin-type BEM formulationmethod with discontinuous elementsreduction of the memory storage

Mathematics Subject Classification ID

Related Items (2)

Domain decomposition algorithm for coupling of finite element and boundary element methods ⋮ Further research on the performance of consistent mass matrices using BEM for symmetric/nonsymmetric formulations

Cites Work

• Performance of mass matrices for the BEM dynamic analysis of wave propagation problems
• The derivation of stiffness matrices from integral equations
• A powerful finite element for plate bending
• Basis for development of large finite elements locally satisfying all field equations
• Combination of boundary and finite elements in elastostatics
• The hybrid-Trefftz finite element model and its application to plate bending
• Generalized finite element analysis with T-complete boundary solution functions
• Large finite elements method for the solution of problems in the theory of elasticity
• The coupling of the finite element method and boundary solution procedures
• Isoparametric, finite element, variational solution of integral equations for three-dimensional fields
• Connectivity as an alternative to boundary integral equations: Construction of bases
• Boundary elements in potential and elasticity theory
• A boundary element method for axisymmetric potential problems with non‐axisymmetric boundary conditions using fast Fourier transform
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