A posteriori error estimation for the Laplace-Beltrami equation on spheres with spherical splines

DOI10.1016/j.camwa.2017.07.003zbMath1397.65290OpenAlexW2739089424MaRDI QIDQ1667660

Duong Thanh Pham, Tung Le

Publication date: 30 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.07.003

zbMATH Keywords

adaptivitya posteriori error estimateLaplace-Beltrami equationspherical spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Error bounds for boundary value problems involving PDEs (65N15) 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) PDEs on manifolds (35R01)

Related Items (1)

Comparative analysis for fractional Laplace and Helmholtz equations on sphere with mixed boundary conditions

Cites Work

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• Strongly elliptic pseudodifferential equations on the sphere with radial basis functions
• A posteriori error estimators for the Stokes equations
• A posteriori error estimation and adaptive mesh-refinement techniques
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• On the approximation order of splines on spherical triangulations
• Fitting scattered data on sphere-like surfaces using spherical splines
• Adaptive finite element methods with convergence rates
• Residual-based a posteriori error estimate for hypersingular equation on surfaces
• PSEUDODIFFERENTIAL EQUATIONS ON THE SPHERE WITH SPHERICAL SPLINES
• Theory of adaptive finite element methods: An introduction
• Spline Functions on Triangulations
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Local mesh refinement in 2 and 3 dimensions
• Data Oscillation and Convergence of Adaptive FEM
• Convergence of Adaptive Finite Element Methods
• A Convergent Adaptive Algorithm for Poisson’s Equation
• Dimension and Local Bases of Homogeneous Spline Spaces
• DESIGN AND CONVERGENCE OF AFEM IN H(DIV)

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