Construction of P-1 Gradient from P-0 Gradient by Averaging

0444085 - ÚTIA 2016 RIV GR eng C - Conference Paper (international conference)
Kunovský, J. - Šátek, V. - Valdman, Jan - Valenta, V.
Construction of P-1 Gradient from P-0 Gradient by Averaging.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). Rhodos: AIP, 2015, 850080-1-850080-4. AIP Conference Proceedings, 1648. ISBN 978-0-7354-1287-3. ISSN 0094-243X.
[INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). Rhodos (GR), 22.09.2014-28.09.2014]
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:67985556
Keywords : Poisson’s Equation * Gradient Averaging * FEM
OECD category: Pure mathematics
http://library.utia.cas.cz/separaty/2015/MTR/valdman-0444085.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0246681