DEFINITION AND ANALYSIS OF A WAVELET/FICTITIOUS DOMAIN SOLVER FOR THE 2D-HEAT EQUATION ON A GENERAL DOMAIN

DOI10.1142/S0218202506001364zbMath1103.65105OpenAlexW2052767979MaRDI QIDQ5484713

Jean Baccou, Jacques Liandrat

Publication date: 21 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001364

zbMATH Keywords

waveletsGalerkin methodnumerical resultsheat equationpreconditioningerror boundsinf-sup conditionPetrov-Galerkin methodsaddle point problemimplicit Euler schemelinear parabolic equationsfictitious domains

Mathematics Subject Classification ID

Heat equation (35K05) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

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 ⋮ Consensus patterns of a set of time series via a wavelet-based temporal localization: emphasizing the utility over point-wise averaging and averaging under dynamic time warping ⋮ Coiflet-Galerkin method for solving second order BVPs with variable coefficients in three dimensions ⋮ Coupling wavelets/vaguelets and smooth fictitious domain methods for elliptic problems: the univariate case ⋮ Solving the 2-D heat equations using wavelet-Galerkin method with variable time step ⋮ Harmonic wavelets towards the solution of nonlinear PDE ⋮ Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs

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