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102
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ICCS
2007
Springer
15 years 6 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
148
Voted
SIAMSC
2010
142views more  SIAMSC 2010»
15 years 1 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
144
Voted
SIAMSC
2010
130views more  SIAMSC 2010»
15 years 1 months ago
First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics
Magnetohydrodynamics (MHD) is a fluid theory that describes Plasma Physics by treating the plasma as a fluid of charged particles. Hence, the equations that describe the plasma f...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
119
Voted
SIAMSC
2011
142views more  SIAMSC 2011»
14 years 9 months ago
Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
Abstract. In this paper, we propose new adaptive local refinement (ALR) strategies for firstorder system least-squares (FOSLS) finite element in conjunction with algebraic multi...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...