Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes

DOI10.1137/S0036142903425410zbMath1099.65107OpenAlexW2033838452MaRDI QIDQ5470897

Qiang Du, Lili Ju

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903425410

zbMATH Keywords

error estimatesnumerical experimentssuperconvergence

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (11)

On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere ⋮ Centroidal Voronoi tessellation in universal covering space of manifold surfaces ⋮ A meshfree generalized finite difference method for surface PDEs ⋮ A priori error estimates of finite volume element method for hyperbolic optimal control problems ⋮ Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. ⋮ A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces ⋮ Parametric Polynomial Preserving Recovery on Manifolds ⋮ Centroidal Voronoi tessellation-based finite element superconvergence ⋮ Recent progress in robust and quality Delaunay mesh generation ⋮ A finite volume method on general surfaces and its error estimates ⋮ A Priori Error Estimates of <scp>C</scp> rank–Nicolson Finite Volume Element Method for a Hyperbolic Optimal Control Problem

Uses Software

• STRIPACK

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