Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One

DOI10.1002/num.22131zbMath1397.65303arXiv1608.04436OpenAlexW2511950972WikidataQ115398044 ScholiaQ115398044MaRDI QIDQ5269914

Lise-Marie Imbert-Gérard, Leslie F. Greengard

Publication date: 28 June 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04436

zbMATH Keywords

Hodge decompositionLaplace-Beltrami operatorgenus 1 surfaces

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Hodge theory in global analysis (58A14) PDEs on manifolds (35R01)

Related Items (7)

Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions ⋮ FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions ⋮ An Interface Formulation of the Laplace–Beltrami Problem on Piecewise Smooth Surfaces ⋮ A high-order wideband direct solver for electromagnetic scattering from bodies of revolution ⋮ Taylor states in stellarators: a fast high-order boundary integral solver ⋮ Volumetric variational principles for a class of partial differential equations defined on surfaces and curves ⋮ The DB Boundary Condition in Electromagnetic Scattering Revisited

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