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MOC
2011
12 years 12 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
2010
12 years 11 months ago
Sharply local pointwise a posteriori error estimates for parabolic problems
Abstract. We prove pointwise a posteriori error estimates for semi- and fullydiscrete finite element methods for approximating the solution u to a parabolic model problem. Our esti...
Alan Demlow, Charalambos Makridakis
SIAMNUM
2010
129views more  SIAMNUM 2010»
12 years 11 months ago
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
A number of works concerning rigorous convergence theory for adaptive finite element methods (AFEM) for controlling global energy errors have appeared in recent years. However, man...
Alan Demlow
ADCM
2011
12 years 12 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity ...
C. Anitescu, U. Banerjee
MOC
2000
124views more  MOC 2000»
13 years 4 months ago
Local and parallel finite element algorithms based on two-grid discretizations
A number of new local and parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorit...
Jinchao Xu, Aihui Zhou