A Multiscale Finite Element Method for Computing Wave Propagation and Scattering in Heterogeneous Media.

Abstract

The objective of this study is to develop a multiscale/multiresolution method for computing wave propagation and scattering in strongly heterogeneous media. The important feature of this method is that does not require resolving the small scale details, yet it can capture their effect on the large scales. The central idea is to incorporate the small scale information into the finite element base functions, so that the effect of small scales on the large scales is correctly captured. This feature allows us to break a large scale computation into many small and independent pieces, which can be carried out in perfect parallel. As a consequence, the size of the computation is drastically reduced. This gives us the possibility to attack problems with many spatial and time scales.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1999
Accession Number
ADA360925

Entities

People

  • Thomas Y. Hou

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Boundary Layer
  • Composite Materials
  • Computations
  • Equations
  • Finite Element Analysis
  • Frequency
  • Frequency Domain
  • Integral Equations
  • Layers
  • Mathematical Analysis
  • Mathematics
  • Oil Reservoirs
  • Wave Equations
  • Wave Propagation
  • Waves

Readers

  • Computational Fluid Dynamics (CFD)
  • Distributed Systems and Data Platform Development
  • Systems Analysis and Design