Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems

• Main Author: Lottes, James (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: 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...