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» An optimal adaptive mixed finite element method
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ADCM
2010
137views more  ADCM 2010»
13 years 5 months ago
Optimal convergence analysis of an immersed interface finite element method
We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elem...
So-Hsiang Chou, Do Y. Kwak, K. T. Wee
MOC
2002
101views more  MOC 2002»
13 years 7 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter
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
SIAMSC
2010
117views more  SIAMSC 2010»
13 years 5 months ago
Least-Squares Finite Element Methods for Quantum Electrodynamics
A significant amount of the computational time in large Monte Carlo simulations of lattice field theory is spent inverting the discrete Dirac operator. Unfortunately, traditional...
James J. Brannick, C. Ketelsen, Thomas A. Manteuff...
ISBI
2008
IEEE
14 years 8 months ago
Robust image registration based on a Partition of Unity Finite Element Method
In this paper, we present a robust, hierarchical Partition of Unity Finite Element Method (PUFEM) to compute the transformation between two images, which is represented by a non-r...
Laurent D. Cohen, Oudom Somphone, Shérif Ma...