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JSCIC
2010
142views more  JSCIC 2010»
9 years 5 months ago
Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System
In this paper we review fourth-order approximations of the biharmonic operator in one, two and three dimensions. In addition, we describe recent developments on second and fourth o...
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro...
JSCIC
2010
134views more  JSCIC 2010»
9 years 5 months ago
Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation
Abstract In this paper, Radial Basis Function (RBF) method for interpolating two dimensional functions with localized features defined on irregular domain is presented. RBF points ...
Alfa R. H. Heryudono, Tobin A. Driscoll
JSCIC
2010
136views more  JSCIC 2010»
9 years 5 months 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
JSCIC
2010
81views more  JSCIC 2010»
9 years 5 months ago
A Tailored Finite Point Method for Convection-Diffusion-Reaction Problems
We study a tailored finite point method (TFPM) for solving the convection-diffusion-reaction equation. The solution basis functions for the TFPM are constructed for a 5 point, 7 p...
Yintzer Shih, R. Bruce Kellogg, Peishan Tsai
JSCIC
2010
97views more  JSCIC 2010»
9 years 5 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
JSCIC
2010
145views more  JSCIC 2010»
9 years 5 months 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
80views more  JSCIC 2010»
9 years 5 months ago
Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media
Raimund Bürger, Ricardo Ruiz-Baier, Kai Schne...
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