A General Concept - Multiscale Decomposition of Function Spaces - Wavelets on Bounded Domains and Manifolds - Elliptic Boundary - Value Problems - The Fictitious Domain-Lagrange Multiplier Approach - Stability for the Saddle Point Problem: The LBB Condition - Least Squares Formulation of General Saddle Point Problems - Wavelet Representation of Least Squares Systems - Preconditioning and Computational Work - Control Problems - Weakly Coupled Saddle Point Problems - Semi-Iterative Methods - A Fully Iterative Method for Coupled Saddle Point Problems - Complexity Analysis - Numerical Examples
Wavelets for Control Problems
Prof. Dr. Angela Kunoth, Universitat Bonn
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