國立虎尾科技大學 |

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

Record Type:	Language materials, printed : Monograph/item
Title/Author:	hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes/ by Andrea Cangiani ... [et al.].
other author:	Cangiani, Andrea.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 131 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Galerkin methods. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-67673-9
ISBN:	9783319676739

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes[electronic resource] /by Andrea Cangiani ... [et al.]. - Cham :Springer International Publishing :2017. - viii, 131 p. :ill., digital ;24 cm. - Springerbriefs in mathematics,2191-8198. - Springerbriefs in mathematics..

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.

ISBN: 9783319676739

Standard No.: 10.1007/978-3-319-67673-9doiSubjects--Topical Terms:

528027
Galerkin methods.

LC Class. No.: QA372

Dewey Class. No.: 518.63

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes
LDR:02126nam a2200313 a 4500 001 922153
003 DE-He213
005 20180522153051.0
006 m d
007 cr nn 008maaau
008 190624s2017 gw s 0 eng d
020 $a 9783319676739 $q (electronic bk.)
020 $a 9783319676715 $q (paper)
024 7 $a 10.1007/978-3-319-67673-9 $2 doi
035 $a 978-3-319-67673-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBKS $2 bicssc
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 518.63 $2 23
090 $a QA372 $b .H872 2017
245 0 0 $a hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes $h [electronic resource] / $c by Andrea Cangiani ... [et al.].
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a viii, 131 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springerbriefs in mathematics, $x 2191-8198
520 $a Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.
650 0 $a Galerkin methods. $3 528027
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
650 2 4 $a Mathematics of Computing. $3 669457
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
700 1 $a Cangiani, Andrea. $3 1074410
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springerbriefs in mathematics. $3 1197529
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-67673-9
950 $a Mathematics and Statistics (Springer-11649)