A finite element method for the double‐layer potential solutions of the Neumann exterior problem

DOI10.1002/mma.1670020206zbMath0437.65083OpenAlexW2117939283MaRDI QIDQ3878702

Tuong Ha Duong

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020206

zbMATH Keywords

finite elementspotential theoryLaplace equationexterior Neumann problemreport on numerical experiments

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (10)

Unnamed Item ⋮ Diffraction d'une Onde Acoustique par une Paroi Absorbante: Nouvelles Equations Intégrales ⋮ On the inverse potential problem of electrocardiology ⋮ The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber ⋮ Integral equations with non integrable kernels ⋮ Pointwise convergence of some boundary element methods. Part II ⋮ FINITE ELEMENT SOLUTION OF TWO-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS USING ARBITRARILY SHAPED CONVEX ARTIFICIAL BOUNDARIES ⋮ An integral equation of the first kind for a free boundary value problem of the stationary Stokes' equations ⋮ A hypersingular boundary integral method for two-dimensional screen and crack problems ⋮ Induced magnetic field computations using a boundary integral formulation

Cites Work

• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• Unnamed Item

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