3 citations · 6 across the 5 of their papers we have counts for
13 papers
Finite element algorithms for nonlocal minimal graphs
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
We discuss computational and qualitative aspects of the fractional Plateau and the prescribed fractional mean curvature problems on bounded domains subject to exterior data being a…
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…
Robust BPX Preconditioner for Fractional Laplacians on Bounded Lipschitz Domains
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu +1
We propose and analyze a robust BPX preconditioner for the integral fractional Laplacian on bounded Lipschitz domains. For either quasi-uniform grids or graded bisection grids, we…
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…
Equilibrium analysis of an immersed rigid leaflet by the virtual element method
L. Beirão da Veiga, C. Canuto, R. H. Nochetto +1
We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a r…
Quantitative Stability and Error Estimates for Optimal Transport Plans
Wenbo Li, Ricardo H. Nochetto
Optimal transport maps and plans between two absolutely continuous measures and can be approximated by solving semi-discrete or fully-discrete optimal transport problems. T…