Publication detail

Construction of P1 Gradient from P0 Gradient by Averaging

KUNOVSKÝ, J. ŠÁTEK, V. VALDMAN, J. VALENTA, V.

Original Title

Construction of P1 Gradient from P0 Gradient by Averaging

Type

conference paper

Language

English

Original Abstract

Construction of nodal and element-wise linear (known as P1) gradient field from element-wise constant (known as P0) gradient field obtained by the P1 finite element methods on defined triangular mesh is based on works of J. Dalík et al. and it is briefly explained and numerically tested in this contribution. Nodal value of P1 gradient is computed by averaging of P0 gradients on elements sharing the node in a common patch.

Keywords

Poissons Equation, Gradient Averaging, FEM

Authors

KUNOVSKÝ, J.; ŠÁTEK, V.; VALDMAN, J.; VALENTA, V.

RIV year

2015

Released

5. 5. 2015

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1287-3

Book

12th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2015

Number

1648

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135

BibTex

@inproceedings{BUT111568,
  author="Jiří {Kunovský} and Václav {Šátek} and Jan {Valdman} and Václav {Valenta}",
  title="Construction of P1 Gradient from P0 Gradient by Averaging",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913135",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135"
}