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IEEECGIV
2005
IEEE
13 years 9 months ago
Surface Modelling Using Fourth Order Geometric Flows
We use two fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including the surface blending, the N-sided hole fillin...
Guoliang Xu, Qing Pan

Publication
519views
12 years 1 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
SIAMSC
2011
113views more  SIAMSC 2011»
12 years 10 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...
AMDO
2006
Springer
13 years 5 months ago
Interactive Soft Object Simulation with Quadratic Finite Elements
Abstract. We present a new method to simulate deformable volumetric objects interactively using finite elements. With quadratic basis functions and a non-linear strain tensor, we a...
Johannes Mezger, Wolfgang Straßer
MOC
2002
128views more  MOC 2002»
13 years 3 months ago
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper ...
Sören Bartels, Carsten Carstensen