000 03132nam a22005295i 4500
001 978-3-319-21614-0
003 DE-He213
005 20180206183125.0
007 cr nn 008mamaa
008 151013s2016 gw | s |||| 0|eng d
020 _a9783319216140
_9978-3-319-21614-0
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aWachspress, Eugene.
_eauthor.
245 1 0 _aRational Bases and Generalized Barycentrics
_h[recurso electrónico] :
_bApplications to Finite Elements and Graphics /
_cby Eugene Wachspress.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXI, 292 p. 167 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I -- Theorems and lemmas -- Chapter 1 Patchwork approximation in numerical analysis -- Chapter 2 The quadrilateral -- Chapter 3 Rational wedges for selected polycons -- Chapter 4. Algebraic geometry foundations -- Chapter5 Rational wedge construction for polycons and polypols -- Chapter 6 Approximation of higher degree -- Chapter 7 Three-dimensional approximation -- Chapter 8 A rational solution to an irrational problem -- Chapter 9 Finite element discretization -- Chapter 10 Two-level computation -- Part II -- Chapter 11. Two dimensions -- Chapter 12. Higher dimensions -- Chapter 13. Forty years after -- Part III.-Chapter 14. Computer programs.
520 _aThis three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation. Authored bythe namesake of the Wachspress Coordinates, the bookdevelops construction of basis functions for a broad class of elements which have widespread graphics and finite element application. Part one is the 1975 book A Rational Finite Element Basis (with minor updates and corrections) written by Dr. Wachspress. Part two describes theoretical advances since 1975 and includes analysis of elements not considered previously. Part three consists of annotated MATLAB programs implementing theory presented in parts one and two.
650 0 _aEngineering.
650 0 _aComputer graphics.
650 0 _aAlgebraic geometry.
650 0 _aPartial differential equations.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aPartial Differential Equations.
650 2 4 _aComputer Graphics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319216133
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-21614-0
912 _aZDB-2-ENG
942 _cLIBRO_ELEC
999 _c227621
_d227621