Linear Spaces -- Linear Operators on Normed Spaces -- Approximation Theory -- Fourier Analysis and Wavelets -- Nonlinear Equations and Their Solution by Iteration -- Finite Difference Method -- Sobolev Spaces -- Variational Formulations of Elliptic Boundary Value Problems -- The Galerkin Method and Its Variants -- Finite Element Analysis -- Elliptic Variational Inequalities and Their Numerical …
Preliminaries -- Elements of Convex Analysis, Duality Theory -- A Posteriori Error Analysis for Idealizations in Linear Problems -- A Posteriori Error Analysis for Linearizations -- A Posteriori Error Analysis for Some Numerical Procedures -- Error Analysis for Variational Inequalities of the Second Kind.This volume provides a posteriori error analysis for mathematical idealizations in modeling…