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EUROPAR
2004
Springer
14 years 23 days ago
A Parallel PSPG Finite Element Method for Direct Simulation of Incompressible Flow
Abstract. We describe a consistent splitting approach to the pressurestabilized Petrov-Galerkin finite element method for incompressible flow. The splitting leads to (almost) exp...
Jörg Stiller, Karel Frana, Roger Grundmann, U...
JCC
2010
74views more  JCC 2010»
13 years 5 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....
MOC
1998
126views more  MOC 1998»
13 years 7 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
MOC
2011
13 years 2 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...
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...