LEADER 03042nam 22006375 450 001 9910863176503321 005 20251202150841.0 010 $a3-030-55677-8 024 7 $a10.1007/978-3-030-55677-8 035 $a(CKB)4100000011491463 035 $a(DE-He213)978-3-030-55677-8 035 $a(MiAaPQ)EBC6367920 035 $a(PPN)25805915X 035 $a(MiAaPQ)EBC6367872 035 $a(EXLCZ)994100000011491463 100 $a20201005d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSimplicial Partitions with Applications to the Finite Element Method /$fby Jan Brandts, Sergey Korotov, Michal K?í?ek 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XV, 188 p. 102 illus., 10 illus. in color.) 225 1 $aSpringer Monographs in Mathematics,$x2196-9922 311 08$a3-030-55676-X 330 $aThis monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields. These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic resultsfrom linear algebra, geometry, and mathematical and numerical analysis. . 410 0$aSpringer Monographs in Mathematics,$x2196-9922 606 $aNumerical analysis 606 $aMathematics 606 $aMathematical analysis 606 $aChemometrics 606 $aNumerical Analysis 606 $aApplications of Mathematics 606 $aAnalysis 606 $aMathematical Applications in Chemistry 615 0$aNumerical analysis. 615 0$aMathematics. 615 0$aMathematical analysis. 615 0$aChemometrics. 615 14$aNumerical Analysis. 615 24$aApplications of Mathematics. 615 24$aAnalysis. 615 24$aMathematical Applications in Chemistry. 676 $a512.73 700 $aBrandts$b Jan$01015166 702 $aKorotov$b Sergey 702 $aKr?i?z?ek$b M. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910863176503321 996 $aSimplicial partitions with applications to the finite element method$92369192 997 $aUNINA