145 citations · 609 across the 61 of their papers we have counts for
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DG Approach to Large Bending Plate Deformations with Isometry Constraint
Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is noncon…
A structure-preserving FEM for the uniaxially constrained -tensor model of nematic liquid crystals
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
We consider the one-constant Landau - de Gennes model for nematic liquid crystals. The order parameter is a traceless tensor field , which is constrained to be uniaxial…
Finite Element Methods for the Laplace-Beltrami Operator
Andrea Bonito, Alan Demlow, Ricardo H. Nochetto
Partial differential equations posed on surfaces arise in a number of applications. In this survey we describe three popular finite element methods for approximating solutions to t…
Linear and Nonlinear Fractional Elliptic Problems
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
This paper surveys recent analytical and numerical research on linear problems for the integral fractional Laplacian, fractional obstacle problems, and fractional minimal graphs. T…
Finite element discretizations of nonlocal minimal graphs: convergence
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
In this paper, we propose and analyze a finite element discretization for the computation of fractional minimal graphs of order~ on a bounded domain . Such a Plat…