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» Convergent discrete Laplace-Beltrami operators over surfaces
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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 3 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»
13 years 6 months 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
SIAMNUM
2011
161views more  SIAMNUM 2011»
13 years 1 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»
13 years 6 months 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,...
CDC
2010
IEEE
150views Control Systems» more  CDC 2010»
13 years 1 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