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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
0094-243X
Periodical
AIP conference proceedings
Year of study
Number
1648
State
United States of America
Pages from
1
Pages to
4
Pages count
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" }