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ICCS
2007
Springer
13 years 10 months ago
An Efficient Characteristic Method for the Magnetic Induction Equation with Various Resistivity Scales
In this paper, we develop an efficient characteristic finite element method (FEM) for solving the magnetic induction equation in magnetohydrodynamics (MHD). We carry out numerical ...
Jiangguo (James) Liu
SIAMSC
2010
151views more  SIAMSC 2010»
13 years 5 months ago
An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is ba...
Junqing Chen, Zhiming Chen, Tao Cui, Lin-Bo Zhang
JSCIC
2010
81views more  JSCIC 2010»
13 years 1 months ago
A Tailored Finite Point Method for Convection-Diffusion-Reaction Problems
We study a tailored finite point method (TFPM) for solving the convection-diffusion-reaction equation. The solution basis functions for the TFPM are constructed for a 5 point, 7 p...
Yintzer Shih, R. Bruce Kellogg, Peishan Tsai
SIAMSC
2008
99views more  SIAMSC 2008»
13 years 6 months ago
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
In this paper, we propose a stochastic mixed multiscale finite element method. The proposed method solves the stochastic porous media flow equation on the coarse grid using a set ...
J. E. Aarnes, Yalchin Efendiev
MOC
2011
13 years 1 months ago
A two-level enriched finite element method for a mixed problem
The simplest pair of spaces P1/P0 is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is enhance the finite element spaces inside a PetrovGalerkin ...
Alejandro Allendes, Gabriel R. Barrenechea, Erwin ...