A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. - Ricardo H. Nochetto; Shawn W. Walker (J. Comput. Phys., 2010)

Shape optimization of peristaltic pumping. - Shawn W. Walker; Michael J. Shelley (J. Comput. Phys., 2010)

Analysis of Shape Optimization for Magnetic Microswimmers. - Shawn W. Walker; Eric E. Keaveny (SIAM J. Control. Optim., 2013)

A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface. - Richard S. Falk; Shawn W. Walker (SIAM J. Numer. Anal., 2013)

Tetrahedralization of Isosurfaces with Guaranteed-Quality by Edge Rearrangement (TIGER). - Shawn W. Walker (SIAM J. Sci. Comput., 2013)

The Shapes of Things - A Practical Guide to Differential Geometry and the Shape Derivative. - Shawn W. Walker (SIAM, 2015)

Droplet Footprint Control. - Antoine Laurain; Shawn W. Walker (SIAM J. Control. Optim., 2015)

Shape optimization of self-avoiding curves. - Shawn W. Walker (J. Comput. Phys., 2016)

A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. - Ricardo H. Nochetto; Shawn W. Walker; Wujun Zhang (SIAM J. Numer. Anal., 2017)

A coupled Ericksen/Allen-Cahn model for liquid crystal droplets. - Angelique Morvant; Ethan Seal; Shawn W. Walker (Comput. Math. Appl., 2018)

The Ericksen model of liquid crystals with colloidal and electric effects. - Ricardo H. Nochetto; Shawn W. Walker; Wujun Zhang (J. Comput. Phys., 2018)

Analysis of the Finite Element Method for the Laplace-Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes. - Johnny Guzmán; Alexandre L. Madureira; Marcus Sarkis; Shawn W. Walker (J. Sci. Comput., 2018)

FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling. - Shawn W. Walker (SIAM J. Sci. Comput., 2018)

The $ mathbf{Q}$-tensor Model with Uniaxial Constraint. - Juan Pablo Borthagaray; Shawn W. Walker (CoRR, 2020)

A structure-preserving FEM for the uniaxially constrained ( mathbf{Q} ) -tensor model of nematic liquid crystals. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shawn W. Walker (Numerische Mathematik, 2020)

The Hellan-Herrmann-Johnson Method with Curved Elements. - Douglas N. Arnold; Shawn W. Walker (SIAM J. Numer. Anal., 2020)

Optimal control of volume-preserving mean curvature flow. - Antoine Laurain; Shawn W. Walker (J. Comput. Phys., 2021)

Numerical method for the equilibrium configurations of a Maier-Saupe bulk potential in a Q-tensor model of an anisotropic nematic liquid crystal. - Cody D. Schimming; Jorge Viñals; Shawn W. Walker (J. Comput. Phys., 2021)

Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary. - Shawn W. Walker (Comput. Methods Appl. Math., 2022)

Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals. - Thomas M. Surowiec; Shawn W. Walker (SIAM J. Control. Optim., 2023)

Approximating the Shape Operator with the Surface Hellan-Herrmann-Johnson Element. - Shawn W. Walker (SIAM J. Sci. Comput., 2024)

A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints. - Shawn W. Walker (J. Sci. Comput., 2024)