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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Hlavní autor: Raasch, Thorsten
Další autoři: Dahlke, Stephan (Prof. Dr.) (Vedoucí práce)
Médium: Dissertation
Jazyk:angličtina
Vydáno: Philipps-Universität Marburg 2007
Témata:
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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1. Besov regularity of stochastic partial differential equations on bounded Lipschitz domains

2. Adaptive Wavelet Methods for Inverse Problems: Acceleration Strategies, Adaptive Rothe Method and Generalized Tensor Wavelets

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