001449289 000__ 03042cam\a2200529\i\4500 001449289 001__ 1449289 001449289 003__ OCoLC 001449289 005__ 20230310004352.0 001449289 006__ m\\\\\o\\d\\\\\\\\ 001449289 007__ cr\cn\nnnunnun 001449289 008__ 220907s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001449289 019__ $$a1343718976 001449289 020__ $$a9783031058219$$q(electronic bk.) 001449289 020__ $$a3031058216$$q(electronic bk.) 001449289 020__ $$z9783031058202 001449289 020__ $$z3031058208 001449289 0247_ $$a10.1007/978-3-031-05821-9$$2doi 001449289 035__ $$aSP(OCoLC)1343909170 001449289 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dN$T$$dUKAHL$$dOCLCQ 001449289 049__ $$aISEA 001449289 050_4 $$aQA379 001449289 08204 $$a515/.3533$$223/eng/20220907 001449289 1001_ $$aLi, Hengguang,$$eauthor. 001449289 24510 $$aGraded finite element methods for elliptic problems in nonsmooth domains /$$cHengguang Li. 001449289 264_1 $$aCham :$$bSpringer,$$c[2022] 001449289 264_4 $$c©2022 001449289 300__ $$a1 online resource (x, 179 pages) :$$billustrations (some color). 001449289 336__ $$atext$$btxt$$2rdacontent 001449289 337__ $$acomputer$$bc$$2rdamedia 001449289 338__ $$aonline resource$$bcr$$2rdacarrier 001449289 4901_ $$aSurveys and tutorials in the applied mathematical sciences ;$$vvolume 10 001449289 504__ $$aIncludes bibliographical references and index. 001449289 5050_ $$aThe Finite Element Method -- The Function Space -- Singularities and Graded Mesh Algorithms -- Error Estimates in Polygonal Domains -- Regularity Estimates and Graded Meshes in Polyhedral Domains -- Anisotropic Error Estimates in Polyhedral Domains. 001449289 506__ $$aAccess limited to authorized users. 001449289 520__ $$aThis book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. Moreover, by focusing upon second-order equations with constant coefficients, it manages to derive explicit results that are accessible to the broader computation community. Although written with mathematics graduate students and researchers in mind, this book is also relevant to applied and computational mathematicians, scientists, and engineers in numerical methods who may encounter singular problems. 001449289 588__ $$aDescription based on print version record. 001449289 650_0 $$aBoundary value problems$$xNumerical solutions. 001449289 650_0 $$aDifferential equations, Elliptic$$xNumerical solutions. 001449289 655_0 $$aElectronic books. 001449289 77608 $$iPrint version:$$aLi, Hengguang.$$tGraded finite element methods for elliptic problems in nonsmooth domains.$$dCham : Springer, 2022$$z9783031058202$$w(OCoLC)1334139292 001449289 830_0 $$aSurveys and tutorials in the applied mathematical sciences ;$$v10. 001449289 852__ $$bebk 001449289 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05821-9$$zOnline Access$$91397441.1 001449289 909CO $$ooai:library.usi.edu:1449289$$pGLOBAL_SET 001449289 980__ $$aBIB 001449289 980__ $$aEBOOK 001449289 982__ $$aEbook 001449289 983__ $$aOnline 001449289 994__ $$a92$$bISE