Mixed methods for the approximation of liquid crystal flows

Mathematical Modelling and Numerical Analysis

Volumn 36, Issue 2, 2002, Pages 205-222

  Liu, Chun ^a   Walkington, Noel J ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Convergence; Liquid Crystals; Mixed Finite Element Approximation

Indexed keywords

EID: 0035999311     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2002010     Document Type: Article

References (45)

1. A new algorithm for computing liquid crystal stable configurations: The harmonic mapping case
2. Minimizing Oseen-Frank energy for nematic liquid crystals: Algorithms and numerical results
3. Survey lecutures on the mathematical foundations of the finite element method
4. Regularity of minimizers of relaxed problems for harmonic maps
5. New developments on the ginzburg-landau model
6. Harmonic maps with defects
7. Mixed and hybrid finite element methods
8. Regularity for heat flow for harmonic maps
9. Minimum energy configurations for liquid crystals: Computational results
10. Relaxation and gradient methods for molecular orientation in liquid crystals
11. 2 projection onto finite element function spaces
12. Finite element analsyis of the Landau-De Gennes minimization problem for liquid crystals
13. Vortices in superconductors: Modelling and computer simulations
14. Ginzburg-Landau vortices: Dynamics, pinning, and hysteresis
15. Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity
16. Conservation laws for liquid crystals
17. On the theory of liquid crystals
18. Finite element approximation of the Navier-Stokes equations
19. An introduction to continuum mechanics
20. Mathematical questions of liquid crystal theory
21. Existence and partial regularity of static liquid crystal configurations
22. Stability of singularities of minimizing harmonic maps
23. Dynamics of Ginzburg-Landau vortices
24. Harmonic mapping between Riemannian surfaces
25. Some constitutive equations for liquid crystals
26. Some topics in equilibrium theory of liquid crystals
27. Mathematics theory of liquid crystals
28. Some dynamic properties of Ginzburg-Landau vorticies
29. Nonparabolic dissipative systems, modeling the flow of liquid crystals
30. Global existence of solutions for the Ericksen Leslie-system
31. Relaxation methods for liquid crystal problems
32. Dynamic theory for incompressible smectic-a liquid crystals: Existence and regularity
33. Approximation of liquid crystal flows
34. The theory of liquid crystals
35. Some optimal error estimates for piecewise linear finite element approximations
36. 1 projection into finite element spaces
37. A regularity theory for harmonic maps
38. Weak solutions and development of singularities in su(2) σ-model
39. On some three dimensional finite dements for incompressible materials
40. Error analysis of some finite element methods for the Stokes problem