A Variational Method for Generating $n$-Cross Fields Using Higher-Order $Q$-Tensors

DOI10.1137/19M1287857zbMath1479.35835arXiv1909.00922OpenAlexW3198915868WikidataQ114074231 ScholiaQ114074231MaRDI QIDQ3382804

José Alberto Montero, Dmitry Golovaty, Daniel P. Spirn

Publication date: 22 September 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00922

zbMATH Keywords

Ginzburg-Landauhexahedral meshframe fieldcross field

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Multilinear algebra, tensor calculus (15A69) Ginzburg-Landau equations (35Q56)

Related Items (1)

Tetrahedral frame fields via constrained third-order symmetric tensors

Uses Software

• COMSOL
• CubeCover

Cites Work

• On minimizers of a Landau-de Gennes energy functional on planar domains
• Higher dimensional Ginzburg-Landau equations under weak anchoring boundary conditions
• Thin film liquid crystals with oblique anchoring and boojums
• Geometric aspects of singular dislocations
• Practical Mixed-Integer Optimization for Geometry Processing
• Representing Three-Dimensional Cross Fields Using Fourth Order Tensors
• An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg--Landau Theory
• Globally optimal direction fields
• Robust Polylines Tracing for N-Symmetry Direction Field on Triangulated Surfaces

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