Transforming the domain integrals to the boundary using approximate particular solutions: A boundary element approach for nonlinear problems

DOI10.1016/0168-9274(92)90061-HzbMath0764.65071MaRDI QIDQ1201034

Rong Zheng, Nhan Phan-Thien

Publication date: 17 January 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesboundary element methodGaussian distributionsradial solutionsparse systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

Transient dynamic boundary element analysis using Gaussian-based mass matrix ⋮ 2D and 3D transient heat conduction analysis by BEM via particular integrals ⋮ Numerical implementation of the EDEM for modified Helmholtz BVPs on annular domains ⋮ Some notes on the general boundary element method for highly nonlinear problems ⋮ Efficient simulation of inclusions and reinforcement bars with the isogeometric boundary element method ⋮ Radial basis functions as approximate particular solutions: Review of recent progress ⋮ BEM-NN computation of generalised Newtonian flows

Cites Work

• A boundary element approach to some nonlinear equations from fluid mechanics
• A boundary element approach for nonlinear boundary-value problems
• Stepwise linear regression particular integrals for uncoupled thermoelasticity with boundary elements
• A boundary element investigation of extrudate swell
• A contour integral approach to some cavity flows of elastic fluids
• An effective boundary element method for inhomogeneous partial differential equations
• A boundary element approach for nonhomogeneous potential problems
• A boundary element approach for parabolic differential equations using a class of particular solutions
• A note on the body force integral of classical elastostatics
• Numerical solution of viscous flows using integral equation methods
• A new BEM formulation for the acoustic eigenfrequency analysis
• A new boundary element formulation for two- and three-dimensional thermoelasticity using particular integrals
• A new BEM formulation for tow- and three-dimensional elastoplasticity using particular integras
• The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary
• An advanced boundary integral equation method for three-dimensional thermoelasticity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Transforming the domain integrals to the boundary using approximate particular solutions: A boundary element approach for nonlinear problems