Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids

DOI10.1137/19M1272135zbMath1448.65091arXiv1908.01796OpenAlexW3015219646MaRDI QIDQ5107801

J. Thomas Beale

Publication date: 28 April 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01796

zbMATH Keywords

shallow water equationssurface diffusionLaplace-Beltrami operatorfinite difference methodspartial differential equationsCartesian gridsclosed surfaces

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hydrology, hydrography, oceanography (86A05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Hyperbolic equations on manifolds (58J45) PDEs in connection with geophysics (35Q86)

Related Items (2)

Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem ⋮ A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds

Uses Software

• chammp

Cites Work

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