Fast homogenization algorithm based on asymptotic theory and multiscale schemes

DOI10.1007/s11075-005-1530-6zbMath1088.65110OpenAlexW2065374661MaRDI QIDQ2583221

Massimo Fornasier, Maria Morandi Cecchi

Publication date: 13 January 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-005-1530-6

zbMATH Keywords

waveletsstabilityconvergenceiterative algorithmmultiresolution analysishomogenizationelliptic equationsperiodic coefficientsfinite differencemultiscale schemesmultilevel schemesnonstationary subdivision scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Sur une courbe plane
• A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems
• LU factorization of non-standard forms and direct multiresolution solvers
• Wavelets in numerical simulation. Problem adapted construction and applications
• A multiresolution strategy for numerical homogenization
• Analysis of uniform binary subdivision schemes for curve design
• Fast wavelet transforms and numerical algorithms I
• Stationary subdivision
• A fast numerical homogenization algorithm for finite element analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item