Boundary Integral Equations for the Laplace-Beltrami Operator

DOI10.1007/978-3-540-68850-1_2zbMath1159.65364arXiv1111.6962OpenAlexW3105756001MaRDI QIDQ3613490

S. Gemmrich, Nilima Nigam, Olaf Steinbach

Publication date: 12 March 2009

Published in: Mathematics and Computation, a Contemporary View (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6962

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value problems on manifolds (58J32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Integral equation methods for the Yukawa-Beltrami equation on the sphere ⋮ Numerical Solutions of a Boundary Value Problem on the Sphere Using Radial Basis Functions ⋮ Fast integral equation methods for the Laplace-Beltrami equation on the sphere ⋮ Spherical Potential Theory: Tools and Applications ⋮ On permeable potential boundary conditions for the Laplace-Beltrami operator

Cites Work

• Generalized Legendre series and the fundamental solution of the Laplacian on the \(n\)-sphere
• Point vortex motion on a sphere with solid boundaries
• Analytical solutions for distributed multipolar vortex equilibria on a sphere
• Stuart vortices on a sphere
• Differential operators and boundary value problems on hypersurfaces
• The determination of convex bodies from their mean radius of curvature functions
• Point vortex motion on the surface of a sphere with impenetrable boundaries
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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