First-order stochasticity in boundary geometry: A computer algebra BE development

DOI10.1016/S0955-7997(01)00059-5zbMath0991.65126MaRDI QIDQ5952735

Elisabeth Anna Malsch, Alexander N. Papusha, Gautam Dasgupta

Publication date: 1 September 2002

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

numerical examplesensitivity analysisperturbation methodstochastic geometryHelmholtz equationcomputer algebraPoisson equationreliability analysisboundary elementconcave pentagonmacroelementstochastic error analysis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

Stochastic spline fictitious boundary element method for analysis of thin plate bending problems with random fields ⋮ Least squares stochastic boundary element method ⋮ Application of the generalized perturbation-based stochastic boundary element method to the elastostatics ⋮ Stochastic shape functions and stochastic strain-displacement matrix for a stochastic finite element stiffness matrix ⋮ A stochastic Lagrangian approach for geometrical uncertainties in electrostatics ⋮ Stochastic BEM with spectral approach in elastostatic and elastodynamic problems with geometrical uncertainty ⋮ Stochastic spline fictitious boundary element method in elastostatic problems with random fields

Uses Software

• Mathematica
• MACSYMA

Cites Work

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• A rational finite element basis
• Approximate dynamic responses in random media
• Principal warps: thin-plate splines and the decomposition of deformations

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