Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves

DOI10.1134/S0012266116090135zbMath1357.65321WikidataQ115251065 ScholiaQ115251065MaRDI QIDQ507719

P. A. Krutitskii, V. V. Kolybasova

Publication date: 7 February 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

quadrature formulasLaplace equationsystem of integral equationsCauchy singular integral

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)

Related Items (10)

Quadrature formula for a double layer potential in the case of the Helmholtz equation ⋮ Quadrature formula for the direct value of the double-layer potential ⋮ On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain ⋮ Improved quadrature formula for a single-layer potential ⋮ Numerical method for an integral-algebraic system ⋮ Explicit solutions of integral equations and relations for potentials ⋮ Unnamed Item ⋮ Quadrature formula for the simple layer potential ⋮ Quadrature formula for the harmonic double layer potential ⋮ Quadrature formula for the double layer potential with differentiable density

Cites Work

• A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape
• The skew derivative problem in the exterior of open curves in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
• THE ANGULAR POTENTIAL AND SOME OF ITS APPLICATIONS
• On the electric current from electrodes in a magnetized semiconductor film
• Unnamed Item
• Unnamed Item

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