145 citations · 289 across the 31 of their papers we have counts for
5 papers · 1 filter
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates
Andrea Bonito, J. Manuel Cascón, Pedro Morin +2
We present a new AFEM for the Laplace-Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally and piecewise in a suitable Besov c…
Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters
Andrea Bonito, Alan Demlow
Proofs of convergence of adaptive finite element methods for the approximation of eigenvalues and eigenfunctions of linear elliptic problems have been given in a several recent pap…
Numerical Approximation of Fractional Powers of Regularly Accretive Operators
Andrea Bonito, Joseph E. Pasciak
We study the numerical approximation of fractional powers of accretive operators in this paper. Namely, if is the accretive operator associated with an accretive sesquilinear f…
Bilayer Plates: Model Reduction, -Convergent Finite Element Approximation and Discrete Gradient Flow
Söeren Bartels, Andrea Bonito, Ricardo H. Nochetto
The bending of bilayer plates is a mechanism which allows for large deformations via small externally induced lattice mismatches of the underlying materials. Its mathematical model…
Numerical Simulations of Bouncing Jets
Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee
Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet…