Adaptive Wavelet and Frame Schemes for Elliptic and Parabolic Equations

This thesis is concerned with the application of wavelet methods to the adaptive numerical solution of elliptic and parabolic operator equations over a polygonal domain. Driven by the insight that the construction of wavelet bases on more general domains is complicated and may pose stability proble...

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Bibliographic Details

Main Author:	Raasch, Thorsten
Contributors:	Dahlke, Stephan (Prof. Dr.) (Thesis advisor)
Format:	Doctoral Thesis
Language:	English
Published:	Philipps-Universität Marburg 2007
Subjects:	Adaptives Verfahren Elliptic problem Wavelets Mathematik Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Adaptive methods Parabolic problem Parabolisches Randwertproblem Numerische Mathematik Frames Wavelet-Analyse Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions Elliptisches Randwertproblem Stability and convergence of numerical methods Complexity and performance of numerical algorithms Mathematics
Online Access:	PDF Full Text
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