145 citations · 289 across the 31 of their papers we have counts for
7 papers · 1 filter
A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator
Andrea Bonito, Alan Demlow, Justin Owen
Elliptic partial differential equations on surfaces play an essential role in geometry, relativity theory, phase transitions, materials science, image processing, and other applica…
An optimal adaptive Fictitious Domain Method
Stefano Berrone, Andrea Bonito, Rob Stevenson +1
We consider a Fictitious Domain formulation of an elliptic partial differential equation and approximate the resulting saddle-point system using an inexact preconditioned Uzawa ite…
On Sinc Quadrature Approximations of Fractional Powers of Regularly Accretive Operators
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We consider the finite element approximation of fractional powers of regularly accretive operators via the Dunford-Taylor integral approach. We use a sinc quadrature scheme to appr…
Numerical Methods for Fractional Diffusion
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto +2
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approa…
Numerical Approximation of the Integral Fractional Laplacian
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral represen…
Numerical Approximation of Space-time Fractional Parabolic Equations
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
In this paper, we develop a numerical scheme for the space-time fractional parabolic equation, i.e., an equation involving a fractional time derivative and a fractional spatial ope…
Modeling and simulation of thermally actuated bilayer plates
Soeren Bartels, Andrea Bonito, Anastasia Muliana +1
We present a mathematical model of polymer bilayers that undergo large bending deformations when actuated by non-mechanical stimuli such as thermal effects. The simple model captur…