Studies in mathematics and its applications, v. 33.
1. Introduction --;2. Mathematical background --;3. A posteriori estimates for iteration methods --;4. A posteriori estimates for finite element approximations --;5. Foundations of duality theory --;6. Two-sided a posteriori estimates for linear elliptic problems --;7. A posteriori estimates for nonlinear variational problems --;8. A posteriori estimates for variational inequalities.
Presents the main approaches developed for a posteriori error estimation in various problems. This book contains a number of mathematical results and lists a posteriori error estimation methods. It includes computable bounds of approximation, errors checking algorithms, iteration processes, finite element methods, and more.