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JSCIC
2010
145views more  JSCIC 2010»
13 years 2 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
SIGGRAPH
1993
ACM
13 years 11 months ago
Radiosity algorithms using higher order finite element methods
Many of the current radiosity algorithms create a piecewise constant approximation to the actual radiosity. Through interpolation and extrapolation, a continuous solution is obtai...
Roy Troutman, Nelson L. Max
MOC
2011
13 years 2 months ago
Local energy estimates for the finite element method on sharply varying grids
Abstract. Local energy error estimates for the finite element method for elliptic problems were originally proved in 1974 by Nitsche and Schatz. These estimates show that the loca...
Alan Demlow, Johnny Guzmán, Alfred H. Schat...
MOC
2000
113views more  MOC 2000»
13 years 7 months ago
A finite element approximation for a class of degenerate elliptic equations
In this paper we exhibit a finite element method fitting a suitable geometry naturally associated with a class of degenerate elliptic equations (usually called Grushin type equatio...
Bruno Franchi, Maria Carla Tesi
SMA
2010
ACM
235views Solid Modeling» more  SMA 2010»
13 years 7 months ago
Constructing A-spline weight functions for stable WEB-spline finite element methods
Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is ...
Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na ...