TheC1wavelet method for numerical solutions of the Neumann problem

DOI10.1080/00036810701460800zbMath1142.65094OpenAlexW1995103836MaRDI QIDQ3502168

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Publication date: 22 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701460800

zbMATH Keywords

convergencenumerical exampleerror estimatesfinite element methodLaplace equationNeumann problemPowell-Sabin elements\(C^{1}\) spline wavelet

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) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem

Cites Work

• Stable three-point wavelet bases on general meshes
• The natural integral equations of plane elasticity problem and its wavelet methods.
• Adaptive wavelet methods for elliptic operator equations with nonlinear terms
• Adaptive finite element methods with convergence rates
• Multilevel augmentation methods for differential equations
• WAVELET SOLUTIONS FOR TIME HARMONIC ACOUSTIC WAVES IN A FINITE OCEAN
• Piecewise Quadratic Approximations on Triangles
• Adaptive Wavelet Schemes for Nonlinear Variational Problems
• Fast Collocation Methods for Second Kind Integral Equations
• Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM

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