Shawn W. Walker

26 papers Journal 25
YearRankTypeTitle / Venue / Authors
2026 J jnl
Exact shape derivatives with unfitted finite element methods.
J. Num. Math.
Jeremy T. Shahan, Shawn W. Walker
2024 J jnl
A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints.
J. Sci. Comput.
Shawn W. Walker
2024 J jnl
Approximating the Shape Operator with the Surface Hellan-Herrmann-Johnson Element.
SIAM J. Sci. Comput.
Shawn W. Walker
2023 J jnl
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals.
CoRR
Thomas M. Surowiec, Shawn W. Walker
2023 J jnl
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals.
SIAM J. Control. Optim.
Thomas M. Surowiec, Shawn W. Walker
2022 J jnl
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary.
Comput. Methods Appl. Math.
Shawn W. Walker
2021 J jnl
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.
Cody D. Schimming, Jorge Viñals, Shawn W. Walker
2021 J jnl
Optimal control of volume-preserving mean curvature flow.
J. Comput. Phys.
Antoine Laurain, Shawn W. Walker
2020 J jnl
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals.
Numerische Mathematik
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2020 J jnl
The $\mathbf{Q}$-tensor Model with Uniaxial Constraint.
CoRR
Juan Pablo Borthagaray, Shawn W. Walker
2020 J jnl
The Hellan-Herrmann-Johnson Method with Curved Elements.
SIAM J. Numer. Anal.
Douglas N. Arnold, Shawn W. Walker
2019 J jnl
A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals.
CoRR
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2019 J jnl
The Hellan-Herrmann-Johnson method with curved elements.
CoRR
Douglas N. Arnold, Shawn W. Walker
2018 J jnl
A coupled Ericksen/Allen-Cahn model for liquid crystal droplets.
Comput. Math. Appl.
Angelique Morvant, Ethan Seal, Shawn W. Walker
2018 J jnl
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes.
J. Sci. Comput.
Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker
2018 J jnl
FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling.
SIAM J. Sci. Comput.
Shawn W. Walker
2018 J jnl
The Ericksen model of liquid crystals with colloidal and electric effects.
J. Comput. Phys.
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
2017 J jnl
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation.
SIAM J. Numer. Anal.
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
2016 J jnl
Shape optimization of self-avoiding curves.
J. Comput. Phys.
Shawn W. Walker
2015 J jnl
Droplet Footprint Control.
SIAM J. Control. Optim.
Antoine Laurain, Shawn W. Walker
2015 — book
The Shapes of Things - A Practical Guide to Differential Geometry and the Shape Derivative.
Shawn W. Walker
2013 J jnl
A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface.
SIAM J. Numer. Anal.
Richard S. Falk, Shawn W. Walker
2013 J jnl
Analysis of Shape Optimization for Magnetic Microswimmers.
SIAM J. Control. Optim.
Shawn W. Walker, Eric E. Keaveny
2013 J jnl
Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER).
SIAM J. Sci. Comput.
Shawn W. Walker
2010 J jnl
A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes.
J. Comput. Phys.
Ricardo H. Nochetto, Shawn W. Walker
2010 J jnl
Shape optimization of peristaltic pumping.
J. Comput. Phys.
Shawn W. Walker, Michael J. Shelley