Finite elements on the sphere

DOI10.1016/0021-9045(84)90066-2zbMath0528.65056OpenAlexW2098984614MaRDI QIDQ786519

S. Leif Svensson

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90066-2

zbMATH Keywords

Galerkin methodfinite elementsRiemannian geometryLaplace operatortrial functionsspherical approximationaltimetry-gravimetry problem of physical geodesypseudodifferential equation on a sphere

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for PDEs with pseudodifferential operators (35S15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Geodesy, mapping problems (86A30)

Related Items (3)

A Tree Algorithm for Isotropic Finite Elements on the Sphere ⋮ Equidistributed icosahedral configurations on the sphere ⋮ Approximation of parabolic PDEs on spheres using spherical basis functions

Cites Work

• The boundary problems of physical geodesy
• The weyl calculus of pseudo-differential operators
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