Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains

Download or read book Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains written by Hengguang Li and published by Springer Nature. This book was released on 2022-09-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. Moreover, by focusing upon second-order equations with constant coefficients, it manages to derive explicit results that are accessible to the broader computation community. Although written with mathematics graduate students and researchers in mind, this book is also relevant to applied and computational mathematicians, scientists, and engineers in numerical methods who may encounter singular problems.