Zobrazeno 1 - 10
of 127
pro vyhledávání: '"ADLER, J. H."'
Autor:
Adler, J. H., Emerson, D. B.
This paper extends an a posteriori error estimator for the elastic, Frank-Oseen model of liquid crystals, derived in [9], to include electric and flexoelectric effects. The problem involves a nonlinear coupled system of equations with a local unit-le
Externí odkaz:
http://arxiv.org/abs/2304.02062
The magnetohydrodynamics (MHD) equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic field
Externí odkaz:
http://arxiv.org/abs/2006.15700
This paper analyzes the discrete energy laws associated with first-order system least-squares (FOSLS) discretizations of time-dependent partial differential equations. Using the heat equation and the time-dependent Stokes' equation as examples, we di
Externí odkaz:
http://arxiv.org/abs/1709.00385
Multiple equilibrium states arise in many physical systems, including various types of liquid crystal structures. Having the ability to reliably compute such states enables more accurate physical analysis and understanding of experimental behavior. T
Externí odkaz:
http://arxiv.org/abs/1601.07383
This paper investigates energy-minimization finite-element approaches for the computation of nematic liquid crystal equilibrium configurations. We compare the performance of these methods when the necessary unit-length constraint is enforced by eithe
Externí odkaz:
http://arxiv.org/abs/1412.8056
This paper outlines an energy-minimization finite-element approach to the modeling of equilibrium configurations for nematic liquid crystals in the presence of internal and external electric fields. The method targets minimization of system free ener
Externí odkaz:
http://arxiv.org/abs/1407.3197
This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy based on
Externí odkaz:
http://arxiv.org/abs/1402.3310
This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical techniques such as nested iteration, algebraic multigrid, and adaptive
Externí odkaz:
http://arxiv.org/abs/1009.5711
Publikováno v:
SIAM Journal on Numerical Analysis, 2015 Jan 01. 53(5), 2226-2254.
Externí odkaz:
http://www.jstor.org/stable/43901687
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