#### Filter Results:

- Full text PDF available (32)

#### Publication Year

2006

2019

- This year (4)
- Last 5 years (30)
- Last 10 years (54)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Andrea Bonito, Joseph E. Pasciak
- Math. Comput.
- 2013

We present and study a novel numerical algorithm to approxi- mate the action of T � := Lwhere L is a symmetric and positive definite unbounded operator on a Hilbert space H0. The numerical method is… (More)

- Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti
- J. Comput. Physics
- 2010

We consider geometric biomembranes governed by an L^2-gradient flow for bending energy subject to area and volume constraints (Helfrich model). We give a concise derivation of a novel vector… (More)

- Andrea Bonito, Ricardo H. Nochetto
- SIAM J. Numerical Analysis
- 2010

We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of simplices or… (More)

- Andrea Bonito, Jean-Luc Guermond
- Math. Comput.
- 2011

We propose and analyze an approximation technique for the Maxwell eigenvalue problem using H1-conforming finite elements. The key idea consists of considering a mixed method controlling the… (More)

- Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto
- SIAM J. Numerical Analysis
- 2013

Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic field propagation on… (More)

- Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
- Numerische Mathematik
- 2017

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 representation of the… (More)

- Andrea Bonito, Marco Picasso, Manuel Laso
- J. Comput. Physics
- 2006

A numerical model is presented for the simulation of viscoelastic flows with complex free surfaces in three space dimensions. The mathematical formulation of the model is similar to that of the… (More)

We study the numerical approximation of fractional powers of accretive operators in this paper. Namely, if A is the accretive operator asso- ciated with an accretive sesquilinear form A(·,·) defined… (More)

We present several applications governed by geometric PDE, and their parametric finite element discretization, which might yield singular behavior. The success of such discretization hinges on an… (More)

We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area con- straint) and acts as a… (More)