A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints.
J. Sci. Comput., May, 2024
Approximating the Shape Operator with the Surface Hellan-Herrmann-Johnson Element.
SIAM J. Sci. Comput., 2024
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals.
SIAM J. Control. Optim., August, 2023
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary.
Comput. Methods Appl. Math., 2022
Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal.
J. Comput. Phys., 2021
Optimal control of volume-preserving mean curvature flow.
J. Comput. Phys., 2021
The Hellan-Herrmann-Johnson Method with Curved Elements.
SIAM J. Numer. Anal., 2020
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals.
Numerische Mathematik, 2020
The $\mathbf{Q}$-tensor Model with Uniaxial Constraint.
CoRR, 2020
FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling.
SIAM J. Sci. Comput., 2018
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes.
J. Sci. Comput., 2018
The Ericksen model of liquid crystals with colloidal and electric effects.
J. Comput. Phys., 2018
A coupled Ericksen/Allen-Cahn model for liquid crystal droplets.
Comput. Math. Appl., 2018
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation.
SIAM J. Numer. Anal., 2017
Shape optimization of self-avoiding curves.
J. Comput. Phys., 2016
Droplet Footprint Control.
SIAM J. Control. Optim., 2015
The Shapes of Things - A Practical Guide to Differential Geometry and the Shape Derivative.
SIAM, ISBN: 978-1-611-97395-2, 2015
Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER).
SIAM J. Sci. Comput., 2013
A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface.
SIAM J. Numer. Anal., 2013
Analysis of Shape Optimization for Magnetic Microswimmers.
SIAM J. Control. Optim., 2013
Shape optimization of peristaltic pumping.
J. Comput. Phys., 2010
A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes.
J. Comput. Phys., 2010