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Author Pabel, Roland

Title Adaptive Wavelet Methods for Variational Formulations of Nonlinear Elliptic PDEs on Tensor-Product Domains
Published Berlin : Logos Verlag Berlin, 2015
Online access available from:
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Description 1 online resource (336 pages)
Contents Intro; 1 Fundamentals; 1.1 Basic Definitions and Vocabulary; 1.2 Sobolev Spaces; 1.3 Besov Spaces; 1.4 Elliptic Partial Differential Equations; 1.5 Nonlinear Elliptic Partial Differential Equations; 2 Multiresolution Analysis and Wavelets; 2.1 Multiscale Decompositions of Function Spaces; 2.2 Multiresolutions of L2 and Hs; 2.3 B-Spline Wavelets on the Interval; 2.4 Multivariate Wavelets; 2.5 Full Space Discretizations; 3 Adaptive Wavelet Methods based upon Trees; 3.1 Introduction; 3.2 Nonlinear Wavelet Approximation; 3.3 Algorithms for Tree Structured Index Sets
3.4 Application of Semilinear Elliptic Operators3.5 Application of Linear Operators; 3.6 Trace Operators; 3.7 Anisotropic Adaptive Wavelet Methods; 4 Numerics of Adaptive Wavelet Methods; 4.1 Iterative Solvers; 4.2 Richardson Iteration; 4.3 Gradient Iteration; 4.4 Newton's Method; 4.5 Implementational Details; 4.6 A 2D Example Problem; 4.7 A 3D Example Problem; 5 Boundary Value Problems as Saddle Point Problems; 5.1 Saddle Point Problems; 5.2 PDE Based Boundary Value Problems; 5.3 Adaptive Solution Methods; 5.4 A 2D Linear Boundary Value Example Problem
5.5 A 2D Linear PDE and a Boundary on a Circle5.6 A 2D Nonlinear Boundary Value Example Problem; 5.7 A 3D Nonlinear Boundary Value Example Problem; 6 Résumé and Outlook; 6.1 Conclusions; 6.2 Future Work; A Wavelet Details; B Implementational Details; C Notation
Notes Print version record
Subject Evolution equations, Nonlinear.
Tensor products.
Form Electronic book
ISBN 3832591591