Author | Kunoth, Angela. author |
---|---|
Title | Wavelet Methods โ Elliptic Boundary Value Problems and Control Problems [electronic resource] / by Angela Kunoth |
Imprint | Wiesbaden : Vieweg+Teubner Verlag, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-322-80027-5 |
Descript | X, 141 p. online resource |
1 Introduction -- 2 The General Concept -- 3 Wavelets -- 3.1 Preliminaries -- 3.2 Multiscale Decomposition of Function Spaces โ Uniform Refinements -- 3.3 Wavelets on an Interval -- 3.4 Wavelets on Manifolds -- 3.5 Multiscale Decomposition of Function Spaces โ Non-Uniform Refinements -- 4 Elliptic Boundary Value Problems -- 4.1 General Saddle Point Problems -- 4.2 Elliptic Boundary Value Problems as Saddle Point Problems -- 4.3 Numerical Studies -- 5 Least Squares Problems -- 5.1 Introduction -- 5.2 General Setting -- 5.3 Least Squares Formulation of General Saddle Point Problems -- 5.4 Wavelet Representation of Least Squares Systems -- 5.5 Truncation -- 5.6 Preconditioning and Computational Work -- 5.7 Numerical Experiments -- 6 Control Problems -- 6.1 Introduction -- 6.2 The Continuous Case: Two Coupled Saddle Point Problems -- 6.3 Discretization and Preconditioning -- 6.4 The Discrete FiniteโDimensional Problem -- 6.5 Iterative Methods for WSPP($$ \hat \Lambda ,\Lambda $$) -- 6.6 Alternative Iterative Methods for the Coupled System -- 6.7 Outlook into Nonlinear Problems and Adaptive Strategies -- References