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» A Reduced-Basis Element Method
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MOC
2010
13 years 2 months ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
CGF
2007
127views more  CGF 2007»
13 years 7 months ago
A Finite Element Method on Convex Polyhedra
We present a method for animating deformable objects using a novel finite element discretization on convex polyhedra. Our finite element approach draws upon recently introduced ...
Martin Wicke, Mario Botsch, Markus H. Gross
MICCAI
2004
Springer
14 years 22 days ago
Modelling Surgical Cuts, Retractions, and Resections via Extended Finite Element Method
Abstract. We introduce a new, efficient approach for modelling the deformation of organs following surgical cuts, retractions, and resections. It uses the extended finite element ...
Lara M. Vigneron, Jacques G. Verly, Simon K. Warfi...
SIAMNUM
2010
141views more  SIAMNUM 2010»
13 years 2 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
SMA
2010
ACM
235views Solid Modeling» more  SMA 2010»
13 years 7 months ago
Constructing A-spline weight functions for stable WEB-spline finite element methods
Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is ...
Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na ...