A boundary integral equation method for a Neumann boundary problem for force-free fields

DOI10.1007/BF00039842zbMath0477.73077MaRDI QIDQ1160517

Rainer Kress

Publication date: 1981

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

representation theoremtwo-dimensional casetransforming boundary value problem into equivalent boundary integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Electromagnetic effects in solid mechanics (74F15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items

Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields, Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations, On constant-alpha force-free fields in a torus, A right inverse operator for \(\operatorname{curl}+\lambda \) and applications, Hamilton-Jacobi theory for continuation of magnetic field across a toroidal surface supporting a plasma pressure discontinuity, Complete systems of Beltrami fields using complex quaternions and transmutation theory, Approximation of linear force-free fields in bounded 3-D domains., The fast Fourier transform and the numerical solution of one-dimensional boundary integral equations

Cites Work

• On the stability of viscous fluid motions
• Beugungsprobleme der mathematischen Akustik
• On the exterior boundary-value problem for the time-harmonic Maxwell equations
• A remark on a boundary value problem for force-free fields
• Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
• Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
• The treatment of a Neumann boundary value problem for force-free fields by an integral equation method
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