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Publication
289views
12 years 2 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
SIGGRAPH
1996
ACM
13 years 8 months ago
Simulating Facial Surgery Using Finite Element Models
This paper describes a prototype system for surgical planning and prediction of human facial shape after craniofacial and maxillofacial surgery for patients with facial deformitie...
Rolf M. Koch, Markus H. Gross, Friedrich R. Carls,...
IMR
2003
Springer
13 years 9 months ago
Increasing the Number and Volume of Hexahedral and Prism Elements in a Hex-Dominant Mesh by Topological Transformations
This paper describes a new method for increasing the number and the volume of hexahedral and prism elements in a hexdominant mesh by topological transformations. The method takes ...
Soji Yamakawa, Kenji Shimada

Publication
216views
12 years 2 months ago
The Geometry of Time-Stepping
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Claudio Mattiussi
CCE
2004
13 years 4 months ago
On the use of reduced order models in bifurcation analysis of distributed parameter systems
Bifurcation theory provides a powerful tool for analyzing the nonlinear dynamic behavior of process systems. However, although the theory in principle applies to lumped as well as...
Yi Liu, Elling W. Jacobsen