Shawn W. Walker

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 19

Top Topics

Finite Element Methods

Occluding Contours

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

SIAM J. Control. Optim.

Publications

Shawn W. Walker
Approximating the Shape Operator with the Surface Hellan-Herrmann-Johnson Element. SIAM J. Sci. Comput. 46 (2) (2024)
Shawn W. Walker
A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints. J. Sci. Comput. 99 (2) (2024)
Thomas M. Surowiec, Shawn W. Walker
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals. CoRR (2023)
Thomas M. Surowiec, Shawn W. Walker
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals. SIAM J. Control. Optim. 61 (4) (2023)
Shawn W. Walker
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary. Comput. Methods Appl. Math. 22 (1) (2022)
Antoine Laurain, Shawn W. Walker
Optimal control of volume-preserving mean curvature flow. J. Comput. Phys. 438 (2021)
Cody D. Schimming, Jorge Viñals, Shawn W. Walker
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. 441 (2021)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals. Numerische Mathematik 145 (4) (2020)
Douglas N. Arnold, Shawn W. Walker
The Hellan-Herrmann-Johnson Method with Curved Elements. SIAM J. Numer. Anal. 58 (5) (2020)
Juan Pablo Borthagaray, Shawn W. Walker
The $\mathbf{Q}$-tensor Model with Uniaxial Constraint. CoRR (2020)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals. CoRR (2019)
Douglas N. Arnold, Shawn W. Walker
The Hellan-Herrmann-Johnson method with curved elements. CoRR (2019)
Angelique Morvant, Ethan Seal, Shawn W. Walker
A coupled Ericksen/Allen-Cahn model for liquid crystal droplets. Comput. Math. Appl. 75 (11) (2018)
Shawn W. Walker
FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling. SIAM J. Sci. Comput. 40 (2) (2018)
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
The Ericksen model of liquid crystals with colloidal and electric effects. J. Comput. Phys. 352 (2018)
Johnny Guzmán, Alexandre L. Madureira, Marcus Sarkis, Shawn W. Walker
Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. J. Sci. Comput. 77 (3) (2018)
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. SIAM J. Numer. Anal. 55 (3) (2017)
Shawn W. Walker
Shape optimization of self-avoiding curves. J. Comput. Phys. 311 (2016)
Antoine Laurain, Shawn W. Walker
Droplet Footprint Control. SIAM J. Control. Optim. 53 (2) (2015)
Shawn W. Walker
Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER). SIAM J. Sci. Comput. 35 (1) (2013)
Shawn W. Walker, Eric E. Keaveny
Analysis of Shape Optimization for Magnetic Microswimmers. SIAM J. Control. Optim. 51 (4) (2013)
Richard S. Falk, Shawn W. Walker
A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface. SIAM J. Numer. Anal. 51 (2) (2013)
Shawn W. Walker, Michael J. Shelley
Shape optimization of peristaltic pumping. J. Comput. Phys. 229 (4) (2010)
Ricardo H. Nochetto, Shawn W. Walker
A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. J. Comput. Phys. 229 (18) (2010)