145 citations · 289 across the 31 of their papers we have counts for
6 papers · 1 filter
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 divergence-conforming finite element method for the surface Stokes equation
Andrea Bonito, Alan Demlow, Martin Licht
The Stokes equation posed on surfaces is important in some physical models, but its numerical solution poses several challenges not encountered in the corresponding Euclidean setti…
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…
Reduced Basis Approximations of the Solutions to Spectral Fractional Diffusion Problems
Andrea Bonito, Diane Guignard, Ashley R. Zhang
We consider the numerical approximation of the spectral fractional diffusion problem based on the so called Balakrishnan representation. The latter consists of an improper integral…
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables
Andrea Bonito, Ronald DeVore, Diane Guignard +2
Motivated by numerical methods for solving parametric partial differential equations, this paper studies the approximation of multivariate analytic functions by algebraic polynomia…
Electroconvection of Thin Liquid Crystals: Model Reduction and Numerical Simulations
Andrea Bonito, Peng Wei
We propose a finite element method for the numerical simulation of electroconvection of thin liquid crystals. The liquid is located in between two concentric circular electrodes wh…