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MOC
2000
113views more  MOC 2000»
13 years 10 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
SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 5 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 5 months ago
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
In this paper, we first study two flux recovery procedures for the conforming finite element approximation to general second-order elliptic partial differential equations. One is a...
Zhiqiang Cai, Shun Zhang
CORR
2004
Springer
121views Education» more  CORR 2004»
13 years 10 months ago
Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners
We consider linear systems arising from the use of the finite element method for solving a certain class of linear elliptic problems. Our main result is that these linear systems, ...
Erik G. Boman, Bruce Hendrickson, Stephen A. Vavas...
SIAMNUM
2010
96views more  SIAMNUM 2010»
13 years 5 months ago
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
Wolfgang Boiger, Carsten Carstensen