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MCS
2010
Springer
13 years 3 months ago
Goal-oriented a posteriori error estimates for transport problems
Some aspects of goal-oriented a posteriori error estimation are addressed in the context of steady convection-diffusion equations. The difference between the exact and approxima...
Dmitri Kuzmin, Sergey Korotov
JCC
2010
74views more  JCC 2010»
13 years 3 months ago
A first-order system least-squares finite element method for the Poisson-Boltzmann equation
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this paper, we focus on numerical approximations to the electrostatic potential...
Stephen D. Bond, Jehanzeb Hameed Chaudhry, Eric C....
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 17 hour ago
A Finite Element Method for Density Estimation with Gaussian Process Priors
Abstract. A variational problem characterizing the density estimator defined by the maximum a posteriori method with Gaussian process priors is derived. It is shown that this probl...
Michael Griebel, Markus Hegland
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 5 months ago
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
MOC
2000
124views more  MOC 2000»
13 years 5 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