TY - GEN AB - 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. AU - Li, Hengguang, CN - QA379 DO - 10.1007/978-3-031-05821-9 DO - doi ID - 1449289 KW - Boundary value problems KW - Differential equations, Elliptic LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05821-9 N2 - 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. SN - 9783031058219 SN - 3031058216 T1 - Graded finite element methods for elliptic problems in nonsmooth domains / TI - Graded finite element methods for elliptic problems in nonsmooth domains / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05821-9 VL - volume 10 ER -