A nonlinear discretization theory

DOI10.1016/j.cam.2013.03.029zbMath1290.65107OpenAlexW2122299238MaRDI QIDQ2016416

Robert Schaback, Klaus Böhmer

Publication date: 20 June 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.03.029

zbMATH Keywords

stabilityconvergence analysiserror boundspartial differential equationsmeshless methodssampling inequalities

Mathematics Subject Classification ID

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)

Related Items (6)

Convergence analysis of general spectral methods ⋮ The reproducing kernel viewpoints of general Ritz-Galerkin approximation ⋮ \(L^2\) error estimates of unsymmetric RBF collocation for second order quasilinear elliptic equations ⋮ A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations ⋮ A meshfree method for solving the Monge-Ampère equation ⋮ All well-posed problems have uniformly stable and convergent discretizations

Cites Work

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• An estimate for multivariate interpolation. II
• Meshless methods: An overview and recent developments
• On unsymmetric collocation by radial basis functions
• Unsymmetric meshless methods for operator equations
• Numerical Methods for Nonlinear Elliptic Differential Equations
• Sampling and Stability

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