Coupling wavelets/vaguelets and smooth fictitious domain methods for elliptic problems: the univariate case

DOI10.1007/s40314-014-0136-9zbMath1372.65326OpenAlexW2071826584MaRDI QIDQ2013609

Ping Yin, Jacques Liandrat

Publication date: 8 August 2017

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

Full work available at URL: https://doi.org/10.1007/s40314-014-0136-9

zbMATH Keywords

numerical exampleerror estimateelliptic problemmultiscale approximationsmooth fictitious domain method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items

A comparison of the finite difference and multiresolution method for the elliptic equations with Dirichlet boundary conditions on irregular domains ⋮ A smooth fictitious domain/multiresolution method for elliptic equations on general domains ⋮ Error estimates of fictitious domain method with an \(H^1\) penalty approach for elliptic problems

Cites Work

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• A penalization method to take into account obstacles in incompressible viscous flows
• Wavelets on the interval and fast wavelet transforms
• Interior estimates for the wavelet Galerkin method
• Building wavelets on \(0,1[\) at large scales]
• Wavelet algorithms for numerical resolution of partial differential equations
• A spectral embedding method applied to the advection-diffusion equation
• Projected Schur complement method for solving non-symmetric systems arising from a smooth fictitious domain approach
• Orthonormal bases of compactly supported wavelets
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
• Ten Lectures on Wavelets
• Interior Estimates for Ritz-Galerkin Methods
• FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART I: APPLICATION TO THE SOLUTION OF ELLIPTIC STATE PROBLEMS
• DEFINITION AND ANALYSIS OF A WAVELET/FICTITIOUS DOMAIN SOLVER FOR THE 2D-HEAT EQUATION ON A GENERAL DOMAIN
• A note on the existence of a solution to a problem of Stefan
• A fully adaptive wavelet algorithm for parabolic partial differential equations