7 search results - page 1 / 2 » A first-order system least-squares finite element method for... |
JCC
2010
13 years 3 months ago
2010
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...
SIAMSC
2011
13 years 5 days ago
2011
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...
SIAMSC
2010
13 years 3 months ago
2010
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...
SIAMSC
2010
13 years 3 months ago
2010
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...
CPHYSICS
2010
13 years 5 months ago
2010
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...