An integral equation technique for the exterior and interior Neumann problem in toroidal regions

DOI10.1016/0021-9991(86)90055-0zbMath0594.65089OpenAlexW1968123779MaRDI QIDQ1077146

Peter Merkel

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90055-0

zbMATH Keywords

Fourier transformnumerical resultssingularityLaplace equationFourier seriesintegral equation methodNeumann problemtoroidal geometryangle-like independent variables

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Electro- and magnetostatics (78A30)

Related Items (4)

Accurate numerical, integral methods for computing drift-kinetic Trubnikov-Rosenbluth potentials ⋮ Fourier method for the Neumann problem on a torus ⋮ Corrected trapezoidal rules for boundary integral equations in three dimensions ⋮ Preconditioned descent algorithm for rapid calculations of magnetohydrodynamic equilibria

Uses Software

• ERATO

Cites Work

• Review of integral-equation techniques for solving potential-flow problems with emphasis on the surface-source method
• Elimination of stochasticity in stellarators
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
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