20 citations · 36 across the 9 of their papers we have counts for
9 papers
A Reconstructed-Laplacian Method for the Surface Biharmonic Equation on Parametric Meshes
Shuo Yang
We develop and analyze a continuous/discontinuous Galerkin (CDG) method based on reconstructed surface Laplacians for the biharmonic equation on a smooth closed surface. Continuous…
-convergent LDG method for large bending deformations of bilayer plates
Andrea Bonito, Ricardo H. Nochetto, Shuo Yang
Bilayer plates are slender structures made of two thin layers of different materials. They react to environmental stimuli and undergo large bending deformations with relatively sma…
Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation
Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
We examine a reduced membrane model of liquid crystal polymer networks (LCNs) via asymptotics and computation. This model requires solving a minimization problem for a non-convex s…
Convergent FEM for a membrane model of liquid crystal polymer networks
Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
We design a finite element method (FEM) for a membrane model of liquid crystal polymer networks (LCNs). This model consists of a minimization problem of a non-convex stretching ene…
Numerical analysis of the LDG method for large deformations of prestrained plates
Andrea Bonito, Diane Guignard, Ricardo Nochetto +1
A local discontinuous Galerkin (LDG) method for approximating large deformations of prestrained plates is introduced and tested on several insightful numerical examples in our prev…
Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model
Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang
The Ericksen model for nematic liquid crystals couples a director field with a scalar degree of orientation variable, and allows the formation of various defects with finite energy…
LDG approximation of large deformations of prestrained plates
Andrea Bonito, Diane Guignard, Ricardo H. Nochetto +1
A reduced model for large deformations of prestrained plates consists of minimizing a second order bending energy subject to a nonconvex metric constraint. The former involves the…
Computing the quasipotential for highly dissipative and chaotic SDEs. An application to stochastic Lorenz'63
Maria Cameron, Shuo Yang
The study of noise-driven transitions occurring rarely on the time-scale of systems modeled by SDEs is of crucial importance for understanding such phenomena as genetic switches in…
Computing the quasipotential for nongradient SDEs in 3D
Shuo Yang, Samuel F. Potter, Maria K. Cameron
Nongradient SDEs with small white noise often arise when modeling biological and ecological time-irreversible processes. If the governing SDE were gradient, the maximum likelihood…