LEADER 02819nam 22004935 450 001 9910349318903321 005 20200703145428.0 010 $a3-030-23788-5 024 7 $a10.1007/978-3-030-23788-2 035 $a(CKB)4100000009382578 035 $a(DE-He213)978-3-030-23788-2 035 $a(MiAaPQ)EBC5927004 035 $a(PPN)269145230 035 $a(EXLCZ)994100000009382578 100 $a20190926d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Numerical Methods for Variational Problems /$fby Hans Petter Langtangen, Kent-Andre Mardal 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVI, 395 p. 88 illus., 76 illus. in color.) 225 1 $aTexts in Computational Science and Engineering,$x1611-0994 ;$v21 311 $a3-030-23787-7 327 $aPreface -- Quick overview of the finite element method -- Function approximation by global functions -- Function approximation by finite elements -- Variational formulations with global elements -- Variational formulations with finite elements -- Time-dependent variational forms -- Variational forms for systems of PDEs -- Nonlinear Problems -- Variational forms for linear systems -- Useful formulas. 330 $aThis textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet. 410 0$aTexts in Computational Science and Engineering,$x1611-0994 ;$v21 606 $aComputer mathematics 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aComputer mathematics. 615 14$aComputational Mathematics and Numerical Analysis. 676 $a515.64 676 $a515.64 700 $aLangtangen$b Hans Petter$4aut$4http://id.loc.gov/vocabulary/relators/aut$022965 702 $aMardal$b Kent-Andre$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349318903321 996 $aIntroduction to Numerical Methods for Variational Problems$92546592 997 $aUNINA