國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Rational bases and generalized baryc...

SpringerLink (Online service)

Rational bases and generalized barycentricsapplications to finite elements and graphics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Rational bases and generalized barycentricsby Eugene Wachspress.
其他題名:	applications to finite elements and graphics /
作者:	Wachspress, Eugene.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xxi, 292 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Finite element method.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21614-0
ISBN:	9783319216140$q(electronic bk.)

Rational bases and generalized barycentricsapplications to finite elements and graphics /
Wachspress, Eugene.

Rational bases and generalized barycentricsapplications to finite elements and graphics /[electronic resource] :by Eugene Wachspress. - Cham :Springer International Publishing :2016. - xxi, 292 p. :ill., digital ;24 cm.

Part 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 -- Chapter 5 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.

This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation. Authored by the namesake of the Wachspress Coordinates, the book develops 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.

ISBN: 9783319216140$q(electronic bk.)

Standard No.: 10.1007/978-3-319-21614-0doiSubjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Rational bases and generalized barycentricsapplications to finite elements and graphics /
LDR:02290nmm a2200313 a 4500 001 481564
003 DE-He213
005 20160720162840.0
006 m d
007 cr nn 008maaau
008 161007s2016 gw s 0 eng d
020 $a 9783319216140$q(electronic bk.)
020 $a 9783319216133$q(paper)
024 7 $a 10.1007/978-3-319-21614-0 $2 doi
035 $a 978-3-319-21614-0
040 $a GP $c GP
041 0 $a eng
050 4 $a TA347.F5
072 7 $a TBJ $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 518.25 $2 23
090 $a TA347.F5 $b W11 2016
100 1 $a Wachspress, Eugene. $3 737704
245 1 0 $a Rational bases and generalized barycentrics $h [electronic resource] : $b applications to finite elements and graphics / $c by Eugene Wachspress.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xxi, 292 p. : $b ill., digital ; $c 24 cm.
505 0 $a Part 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 -- Chapter 5 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 $a This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation. Authored by the namesake of the Wachspress Coordinates, the book develops 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 $a Finite element method. $3 184533
650 0 $a Numerical analysis. $3 182073
650 1 4 $a Engineering. $3 210888
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 273758
650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Computer Graphics. $3 274515
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21614-0
950 $a Engineering (Springer-11647)