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COMPUTING
2004
91views more  COMPUTING 2004»
14 years 9 months ago
A Stabilized Three-field Formulation for Advection-diffusion Equations
In this paper we propose a new stabilized three-field formulation applied to the advection-diffusion equation. Using finite elements with SUPG stabilization in the interior of the...
G. Rapin, G. Lube
BIOCOMP
2009
14 years 7 months ago
Simulating Spatial Partial Differential Equations with Cellular Automata
Abstract-- Spatial partial differential equations are commonly used to describe systems of biological entities, such as patterns created by desert vegetation and biovermiculation g...
Brian Strader, Keith E. Schubert, Ernesto Gomez, J...
JNS
2008
44views more  JNS 2008»
14 years 9 months ago
The Scaling Attractor and Ultimate Dynamics for Smoluchowski's Coagulation Equations
We describe a basic framework for studying dynamic scaling that has roots in dynamical systems and probability theory. Within this framework, we study Smoluchowski's coagulat...
Govind Menon, Robert L. Pego
JSCIC
2010
145views more  JSCIC 2010»
14 years 4 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
IMSCCS
2006
IEEE
15 years 3 months ago
A Numerical Approach of Direct-SIMPLE Deduced Pressure Equations to Simulations of Transport Phenomena During Shaped Casting
The properties of a LPAPI-matrix derived from an extended Direct-SIMPLE scheme are demonstrated. It is shown that such LPAPI-matrix for a 3D strong P V coupling problem is difficu...
Daming Xu, Jun Ni