Singularity and positioning constants in Poisson's equation with a point source of unit intensity

DOI10.1016/0045-7825(81)90033-5zbMath0464.35032OpenAlexW1982691946MaRDI QIDQ1154046

S. H. Smith

Publication date: 1981

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(81)90033-5

zbMATH Keywords

integral equationdiffractionpoint sourcePoisson equationelectrostatic fieldmixed Dirichlet-Neumann boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Complete Lagrange family for the cube in finite element interpolations ⋮ A boundary integral approach in the geoelectrical cavity prospecting ⋮ Analytical solutions of some steady-state electrical problems in the rectangular domain ⋮ Analytical solutions for the incompressible viscous flow within a rectangular domain

Cites Work

• Reconsideration of rectangular Lagrange families with hierarchy-ranking bases
• Basis transformation of trial function space in Lagrange interpolation
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