Orthogonal collocation in the nonconforming boundary element method

DOI10.1016/S0021-9991(95)90238-4zbMath0839.65130OpenAlexW2081720404MaRDI QIDQ1903807

Sriganesh R. Karur, Palghat A. Ramachandran

Publication date: 16 June 1996

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(95)90238-4

zbMATH Keywords

shifted Jacobi polynomialdomain decompositionLaplace equationPoisson equationorthogonal polynomialpotential equationorthogonal collocationcollocation boundary element methodnonconforming discontinuous elements

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Comparison of boundary collocation methods for singular and non-singular axisymmetric heat transfer problems ⋮ Exact integrations of two-dimensional high-order discontinuous boundary elements of elastostatics problems ⋮ Analytical evaluation and application of the singularities in boundary element method ⋮ A particular solution Trefftz method for nonlinear Poisson problems in heat and mass transfer ⋮ The method of fundamental solutions for linear diffusion-reaction equations.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane
• New application of hypersingular equations in the boundary element method
• Error indicators for adaptive mesh refinement in the boundary element method—a new approach
• Treatment of corners in BIE analysis of potential problems
• On the Asymptotic Convergence of Collocation Methods
• Conforming versus non-conforming boundary elements in three-dimensional elastostatics
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods
• Cubic spline boundary elements
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• Addressing the corner problem in BEM solution of heat conduction problems
• A multiple‐node method to resolve the difficulties in the boundary integral equation method caused by corners and discontinuous boundary conditions

This page was built for publication: Orthogonal collocation in the nonconforming boundary element method