Descript 
1 online resource (xx, 192 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
Series 
Lecture notes of the Unione Matematica Italiana, 18629113 ; 22


Lecture notes of the Unione Matematica Italiana ; 22

Note 
Introduction  G1smooth Surfaces  C1 smooth surfaces  MDSs: quadrilateral meshes  Global MDSs  MDSs for a smooth boundary  Computational examples  Conclusions  Twopatch 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 

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 C1surface, by piecewise Bezier or BSpline patches defined over this mesh. This problem is solved for C1surfaces defined over plane bilinear Bezier patches, the corresponding results for BSplines then being simple consequences. The method can be extended to higherorder quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here 
Host Item 
Springer eBooks

Subject 
Finite element method


Quadrilaterals


Mathematics


Computational Mathematics and Numerical Analysis


Geometry

Alt Author 
Matskewich, Tanya, author


SpringerLink (Online service)

