Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

• Κύριος συγγραφέας: Lottes, James (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Mathematics.; Operator theory.; Partial differential equations.; Computer mathematics.; Computational Mathematics and Numerical Analysis.; Operator Theory.; Partial Differential Equations.

This thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric problems, particularly suited to algebraic multigrid, with a completely new approach to nonsymmetry which is based on a new concept of absolute value for nonsymmetric operators. Multigrid, and in partic...

Πίνακας περιεχομένων:

• Introduction
• Theoretical Foundations
• Form Absolute Value
• Convergence Theory
• Application to a New AMG Method
• Conclusions.