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» Convergent discrete Laplace-Beltrami operators over surfaces
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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
15 years 10 months ago
Convergence, Stability, and Discrete Approximation of Laplace Spectra
Spectral methods have been widely used in a broad range of application fields. One important object involved in such methods is the Laplace-Beltrami operator of a manifold. Indeed...
Tamal K. Dey, Pawas Ranjan, Yusu Wang
CAGD
2006
113views more  CAGD 2006»
15 years 17 days ago
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface. Suppose the...
Guoliang Xu
125
Voted
SIAMNUM
2011
161views more  SIAMNUM 2011»
14 years 7 months ago
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
Abstract. A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is discussed. The underlying motion is assumed to be described by a fixed, not ne...
Martin Lenz, Simplice Firmin Nemadjieu, Martin Rum...
CAGD
2007
59views more  CAGD 2007»
15 years 16 days ago
Discrete quadratic curvature energies
We present a family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space. These models are derived from an axiomatic treatment of discrete Laplace oper...
Max Wardetzky, Miklós Bergou, David Harmon,...
97
Voted
CDC
2010
IEEE
150views Control Systems» more  CDC 2010»
14 years 7 months ago
An adjoint method for second-order switching time optimization
Abstract-- Switched systems evolve over a sequence of continuous modes of operation, transitioning between modes in a discrete manner. Assuming a mode sequence is known, the evolut...
Timothy M. Caldwell, Todd D. Murphey