A wavelet method for reducing the computational cost of BE-based homogenization analysis.

DOI10.1016/S0955-7997(02)00154-6zbMath1047.74545MaRDI QIDQ1422009

Kazuhisa Abe, Kazuhiro Koro

Publication date: 3 February 2004

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

Haar waveletsmodulusHomogenization methodEffective elasticUnidirectional compositesWavelet BEM

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items

Homogenization-based finite element analysis of unidirectional composites by classical and multiresolutional techniques, Treatment of Dirichlet-type boundary conditions in the spline-based wavelet Galerkin method employing multiple point constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
• A comparison of homogenization and standard mechanics analyses for periodic porous composites
• Boundary element method for homogenization of the periodic linear elastic fiber composites
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• Effective properties of composite materials with periodic microstructure: A computational approach
• A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
• Wavelet approximations for first kind boundary integral equations on polygons
• Fast wavelet transforms and numerical algorithms I
• Analysis of Composite Materials—A Survey
• On the implementation of the galerkin approach in the boundary element method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• On solving first-kind integral equations using wavelets on a bounded interval
• Wavelet Galerkin Algorithms for Boundary Integral Equations
• Non-orthogonal spline wavelets for boundary element analysis
• A class of general algorithms for multi-scale analyses of heterogeneous media
• Homogenization of linear and of debonding composites usign the BEM