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Title: C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem

Abstract

We present a family of C1-continuous high-order Virtual Element Methods for Poisson-Kirchho plate bending problem. The convergence of the methods is tested on a variety of meshes including rectangular, quadrilateral, and meshes obtained by edge removal (i.e. highly irregular meshes). The convergence rates are presented for all of these tests.

Authors:
 [1];  [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:
1327994
Report Number(s):
LA-UR-16-27263
DOE Contract Number:
AC52-06NA25396; #20140270ER
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Mathematics; Virtual Element method, biharmonic, high order, polygonal element

Citation Formats

Gyrya, Vitaliy, and Mourad, Hashem Mohamed. C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem. United States: N. p., 2016. Web. doi:10.2172/1327994.
Gyrya, Vitaliy, & Mourad, Hashem Mohamed. C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem. United States. doi:10.2172/1327994.
Gyrya, Vitaliy, and Mourad, Hashem Mohamed. 2016. "C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem". United States. doi:10.2172/1327994. https://www.osti.gov/servlets/purl/1327994.
@article{osti_1327994,
title = {C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem},
author = {Gyrya, Vitaliy and Mourad, Hashem Mohamed},
abstractNote = {We present a family of C1-continuous high-order Virtual Element Methods for Poisson-Kirchho plate bending problem. The convergence of the methods is tested on a variety of meshes including rectangular, quadrilateral, and meshes obtained by edge removal (i.e. highly irregular meshes). The convergence rates are presented for all of these tests.},
doi = {10.2172/1327994},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 9
}

Technical Report:

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