A contribution to wavelet-bases subgrid modeling

zbMath0937.65113MaRDI QIDQ1817742

Björn Engquist, Gunnar Ledfelt, Olof Runborg, Ulf Andersson

Publication date: 8 February 2000

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

zbMATH Keywords

wave propagationmultiresolution analysissparse approximationsubgrid modelingHaar wavelet projections

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

Topology optimization of periodic microstructures with a penalization of highly localized buckling modes ⋮ Explicit formulas for wavelet-homogenized coefficients of elliptic operators ⋮ Multiscale parameterisation of passive scalars via wavelet-based numerical homogenisation ⋮ Multi-dimensional wavelet reduction for the homogenisation of microstructures ⋮ Solving PDEs with the aid of two-dimensional Haar wavelets ⋮ Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions ⋮ A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type ⋮ An efficient numerical algorithm for multi-dimensional time dependent partial differential equations ⋮ Multiresolution exponential B-splines and singularly perturbed boundary problem ⋮ Simulation of a waveguide filter using wavelet-based numerical homogenization ⋮ Wavelets andWavelet Based Numerical Homogenization ⋮ Approximation of functions of Lipschitz class and solution of Fokker-Planck equation by two-dimensional Legendre wavelet operational matrix ⋮ APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS

Cites Work

• Unnamed Item
• A multiscale finite element method for elliptic problems in composite materials and porous media
• A comparison of multiresolution and classical one-dimensional homogenization schemes
• A multiresolution strategy for numerical homogenization
• Fast wavelet transforms and numerical algorithms I
• The Interface Probing Technique in Domain Decomposition
• Ten Lectures on Wavelets
• Matrix-Dependent Multigrid Homogenization for Diffusion Problems
• Iterative Solution Methods
• Wavelet-Based Numerical Homogenization

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