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SIAMIS
2011
13 years 2 months ago
An Upwind Finite-Difference Method for Total Variation-Based Image Smoothing
In this paper we study finite-difference approximations to the variational problem using the BV smoothness penalty that was introduced in an image smoothing context by Rudin, Osh...
Antonin Chambolle, Stacey Levine, Bradley J. Lucie...
CCGRID
2010
IEEE
13 years 8 months ago
Asynchronous Communication Schemes for Finite Difference Methods on Multiple GPUs
Finite difference methods continue to provide an important and parallelisable approach to many numerical simulations problems. Iterative multigrid and multilevel algorithms can co...
Daniel P. Playne, Kenneth A. Hawick
JSCIC
2008
134views more  JSCIC 2008»
13 years 7 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
JSCIC
2010
97views more  JSCIC 2010»
13 years 2 months 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
CORR
2010
Springer
64views Education» more  CORR 2010»
13 years 5 months ago
Dual Formulations of Mixed Finite Element Methods
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different varia...
Andrew Gillette, Chandrajit L. Bajaj