http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Wavelet-finite element bases for numerical solutions of partial differential equations
algorithms with the same measures for FEM.
bases will be chosen carefully and will be combined into one
basis. This hybrid basis is used in the Ritz-Galerkin method
choosing which functions to use from each basis at each level
computational measures such as the conditioning of the
differential equations (PDES) using wavelets and finite
elements. We focus on third order Daubechies' wavelets and
for numerically solving PDES. Three different procedures for
Galerkin matrices and the overall complexity of the
matches that of standard Finite Element Methods (FEM) with
most effective and prove that with appropriate smoothness
of refinement will be discussed and numerical results will be
piecewise linear elements. Finally, we compare other
piecewise linear finite elements. Functions from these two
requirements the convergence rate for this best choice
This thesis presents a method to solve elliptic partial
used to illustrate the strengths and weaknesses of each
variation. We show which of these strategies will be the
Issued also on microfiche from Lange Micrographics.
Includes bibliographical references: pages 54-55.