LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	518
Title	Smooth Bézier surfaces over unstructured quadrilateral meshes ([EBook]) / by Michel Bercovier, Tanya Matskewich.
Author	Bercovier, Michel
Added Personal Name	Matskewich, Tanya author.
Other name(s)	SpringerLink (Online service)
Publication	Cha : Springer International Publishin , 2017.
Physical Details	XX, 192 p. 64 illus., 59 illus. in color : online resource.
Series	Lecture Notes of the Unione Matematica Italiana 1862-9113 ; 22
ISBN	9783319638416
Summary Note	Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not easily apply to the rich variety of complex shapes that engineers have to design and analyse. Therefore new developments have studied the extension of IgA to unstructured unions of meshes, similar to those one can find in FEM. The following problem arises: given an unstructured planar quadrilateral mesh, construct a C1-surface, by piecewise B?ier or B-Spline patches defined over this mesh. This problem is solved for C1-surfaces defined over plane bilinear B?ier patches, the corresponding results for B-Splines then being simple consequences. The method can be extended to higher-order quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here.:
Contents note	Introduction -- G1-smooth Surfaces -- C1 smooth surfaces -- MDSs: quadrilateral meshes -- Global MDSs -- MDSs for a smooth boundary -- Computational examples -- Conclusions -- Two-patch geometry and the G1 construction -- Illustrations for the thin plate problem -- Mixed MDSs of degrees 4 and 5 -- Technical lemmas -- Minimisation problems -- G1 is equivalent to C1 -- Bibliography -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-63841-6
Links to Related Works	Subject References: Finite element method . Quadrilaterals. . Authors: Bercovier, Michel . Matskewich, Tanya . Matskewich, Tanya. . Corporate Authors: SpringerLink (Online service) . SpringerLink (Online service) . Series: Lecture Notes of the Unione Matematica Italiana . Classification: 518 .

Catalogue Display

Smooth Bézier surfaces over unstructured quadrilateral meshes

Reviews