On coupling wavelets with fictitious domain approaches

DOI10.1016/j.aml.2005.02.028zbMath1083.65088OpenAlexW2084846891MaRDI QIDQ812714

Jean Baccou, Jacques Liandrat

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.028

zbMATH Keywords

waveletsalgorithmLagrange multiplierspreconditioningPetrov-Galerkin methodparabolic equationsfictitious domainsaddle point problemtime discretization

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 (2)

A smooth fictitious domain/multiresolution method for elliptic equations on general domains ⋮ Imposing boundary and interface conditions in multi-resolution wavelet Galerkin method for numerical solution of Helmholtz problems

Cites Work

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• Shock-vortex interactions at high Mach numbers
• Adaptive wavelet simulation of a flow around an impulsively started cylinder using penalisation
• Error analysis of a fictitious domain method applied to a Dirichlet problem
• A fully adaptive wavelet algorithm for parabolic partial differential equations
• Appending boundary conditions by Lagrange multipliers: Analysis of the LBB condition

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