Adaptive Wavelet and Frame Schemes for Elliptic and Parabolic Equations

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
Frames
Wavelets
Adaptive methods
Mathematik
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Parabolisches Randwertproblem
Numerische Mathematik
Wavelet-Analyse
Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions
Elliptisches Randwertproblem
Parabolic problem
Stability and convergence of numerical methods
Complexity and performance of numerical algorithms
Elliptic problem
Mathematics
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