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Title: 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:
 [1]
  1. 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}
}

Technical Report:

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