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JSCIC
2010
57views more  JSCIC 2010»
13 years 28 days ago
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software, there is a need for higher order methods for more accur...
Antony Jameson
JSCIC
2010
97views more  JSCIC 2010»
13 years 28 days ago
Finite Element Characteristic Methods Requiring no Quadrature
The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals ar...
Olivier Pironneau
JSCIC
2010
145views more  JSCIC 2010»
13 years 28 days ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
JSCIC
2010
231views more  JSCIC 2010»
13 years 28 days ago
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction
Variational models for image segmentation have many applications, but can be slow to compute. Recently, globally convex segmentation models have been introduced which are very rel...
Tom Goldstein, Xavier Bresson, Stanley Osher
JSCIC
2010
136views more  JSCIC 2010»
13 years 28 days ago
Multiple Level Sets for Piecewise Constant Surface Reconstruction in Highly Ill-Posed Problems
This paper considers highly ill-posed surface recovery inverse problems, where the sought surface in 2D or 3D is piecewise constant with several possible level values. These level...
K. van den Doel, U. M. Ascher, A. Leitão