LEADER 02921nam 22005535 450 001 9910349318903321 005 20251113182305.0 010 $a9783030237882 010 $a3030237885 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(MiAaPQ)EBC31886875 035 $a(Au-PeEL)EBL31886875 035 $a(OCoLC)1121487032 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 $aTexts in Computational Science and Engineering,$x2197-179X ;$v21 311 08$a9783030237875 311 08$a3030237877 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,$x2197-179X ;$v21 606 $aMathematics$xData processing 606 $aComputational Mathematics and Numerical Analysis 615 0$aMathematics$xData processing. 615 14$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