Discretization error associated with reproducing kernel methods: One-dimensional domains

DOI10.1016/S0045-7825(00)00245-0zbMath0979.65080OpenAlexW1971059136WikidataQ126296885 ScholiaQ126296885MaRDI QIDQ5931209

Mark A. Christon, Thomas E. Voth

Publication date: 10 February 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(00)00245-0

zbMATH Keywords

error analysisreproducing kernel particle methodsemi-discretizations

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

A wave-oriented meshless formulation for acoustical and vibro-acoustical applications ⋮ \(n\)-best kernel approximation in reproducing kernel Hilbert spaces ⋮ A meshless Galerkin method for Stokes problems using boundary integral equations ⋮ \textit{Maximum-entropy} methods for time-harmonic acoustics ⋮ A novel approach to calculation of reproducing kernel on infinite interval and applications to boundary value problems

Cites Work

• Advances in multiple scale kernel particle methods
• Synchronized reproducing kernel interpolant via multiple wavelet expansion
• Moving least-square reproducing kernel methods. I: Methodology and convergence
• Meshless methods: An overview and recent developments
• Generalized multiple scale reproducing kernel particle methods
• Moving least-square reproducing kernel method. II: Fourier analysis
• An improved reproducing kernel particle method for nearly incompressible finite elasticity
• Wave propagation analysis of difference schemes for hyperbolic equations: A review
• Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method
• Wavelet and multiple scale reproducing kernel methods
• Reproducing kernel particle methods for structural dynamics
• Reproducing kernel particle methods
• A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: Theory
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