On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere
DOI10.1007/s10444-023-10041-3zbMath1529.65130arXiv2206.03685MaRDI QIDQ6174716
Leonardo A. Poveda, Pedro S. Peixoto
Publication date: 14 July 2023
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03685
finite volume methodLaplace-Beltrami operatorPoisson equationpointwise estimates\textit{a priori} error estimatesuniform error estimatesspherical icosahedral grids
Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary value problems on manifolds (58J32) Green's functions for elliptic equations (35J08) PDEs on manifolds (35R01) Finite volume methods for boundary value problems involving PDEs (65N08)
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