Computation of exterior potential fields by infinite substructuring

DOI10.1016/0045-7825(84)90105-1zbMath0549.73064OpenAlexW2013801833MaRDI QIDQ800136

Gautam Dasgupta

Publication date: 1984

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(84)90105-1

zbMATH Keywords

virtual work principlecharacteristic of outward decaycomplete set of spatially discretized shape functionsconvergent geometrical serieselements of the boundary matrix for the unbounded regionenergy termsexact infinite sum of the virtual work quantitiesexpression to estimate the exterior fieldexterior regionincreasing characteristic dimensionsinfinite assembly of geometrically similar finite element cellsinfinite substructuring schemeoutside an arbitrary convex regionquadratic eigenproblemsequence of similarly shaped elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical and other methods in solid mechanics (74S99)

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