# Annotations on the virtual element method for second-order elliptic problems

## Abstract

This document contains working annotations on the Virtual Element Method (VEM) for the approximate solution of diffusion problems with variable coefficients. To read this document you are assumed to have familiarity with concepts from the numerical discretization of Partial Differential Equations (PDEs) and, in particular, the Finite Element Method (FEM). This document is not an introduction to the FEM, for which many textbooks (also free on the internet) are available. Eventually, this document is intended to evolve into a tutorial introduction to the VEM (but this is really a long-term goal).

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1338710

- Report Number(s):
- LA-UR-16-29660

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; Mathematics; Virtual element method, partial differential equations

### Citation Formats

```
Manzini, Gianmarco.
```*Annotations on the virtual element method for second-order elliptic problems*. United States: N. p., 2017.
Web. doi:10.2172/1338710.

```
Manzini, Gianmarco.
```*Annotations on the virtual element method for second-order elliptic problems*. United States. doi:10.2172/1338710.

```
Manzini, Gianmarco. Tue .
"Annotations on the virtual element method for second-order elliptic problems". United States.
doi:10.2172/1338710. https://www.osti.gov/servlets/purl/1338710.
```

```
@article{osti_1338710,
```

title = {Annotations on the virtual element method for second-order elliptic problems},

author = {Manzini, Gianmarco},

abstractNote = {This document contains working annotations on the Virtual Element Method (VEM) for the approximate solution of diffusion problems with variable coefficients. To read this document you are assumed to have familiarity with concepts from the numerical discretization of Partial Differential Equations (PDEs) and, in particular, the Finite Element Method (FEM). This document is not an introduction to the FEM, for which many textbooks (also free on the internet) are available. Eventually, this document is intended to evolve into a tutorial introduction to the VEM (but this is really a long-term goal).},

doi = {10.2172/1338710},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Jan 03 00:00:00 EST 2017},

month = {Tue Jan 03 00:00:00 EST 2017}

}

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.