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» Approximation by quadrilateral finite elements
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SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 2 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
DAC
1989
ACM
13 years 11 months ago
An Efficient Finite Element Method for Submicron IC Capacitance Extraction
We present an accurate and efficient method for extraction of parasitic capacitances in submicron integrated circuits. The method uses a 3-D finite element model in which the cond...
N. P. van der Meijs, Arjan J. van Genderen
CORR
2004
Springer
121views Education» more  CORR 2004»
13 years 7 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...
MOC
2000
127views more  MOC 2000»
13 years 7 months ago
Can a finite element method perform arbitrarily badly?
In this paper we construct elliptic boundary value problems whose standard finite element approximations converge arbitrarily slowly in the energy norm, and show that adaptive proc...
Ivo Babuska, John E. Osborn
JSCIC
2007
132views more  JSCIC 2007»
13 years 7 months ago
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
We consider a discontinuous Galerkin finite element method for the advection–reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater t...
E. Burman, B. Stamm