On Green's Third Identity as a Basis for Derivation of Integral Equations

DOI10.1002/zamm.197405412100zbMath0308.45003OpenAlexW2130925727MaRDI QIDQ4066011

Søren Christiansen

Publication date: 1974

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.197405412100

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (5)

Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel ⋮ Revisit of a degenerate scale: a semi-circular disc ⋮ A necessary and sufficient BEM/BIEM for two-dimensional elasticity problems ⋮ Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM ⋮ First kind integral equations for the numerical solution of the plane Dirichlet problem

Cites Work

• Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
• Integral equation methods in potential theory. I
• Integral equation methods in potential theory. II

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