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SIAM Journal on Numerical Analysis • Vol 60 • No 2
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model
April 2022 • Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang
The Ericksen model for nematic liquid crystals couples a director field with a scalar degree of orientation variable and allows the formation of various defects with finite energy. We propose a simple but novel finite element approximation of the problem that can be implemented easily within standard finite element packages. Our scheme is projection-free and thus circumvents the use of weakly acute meshes, which are quite restrictive in three dimensions but are required by recent algorithms for convergence. We pro…
Finite Element Method
Mathematics
Polygon Mesh
Liquid Crystal
Mathematical Analysis
Geometry
Algorithm
Physics
Mathematical Physics
Optics
Economic Growth
Economics