The IGA IIPG on the Union of Overlapped Patches

DOI

10.2991/ammsa-18.2018.6How to use a DOI?

Keywords

isogeometric analysis; discontinuous galerkin method; overlapped domain; IGAODG

Abstract

Recently, an IGA DG method (IGAODG) is developed to solve PDEs defined on the overlapped patches. With IGAODG, the time-consuming treatments for keeping the integration precision on the trimmed patches are avoided. In this paper, the IGAODG is extended with the incomplete interior penalty method (IIPG), and the discretization scheme for the Poisson's equation is created and tested. Numerical results show that the presented method will give the optimal convergence orders.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Honghai Zhang
AU  - Rong Mo
AU  - Neng Wan
PY  - 2018/05
DA  - 2018/05
TI  - The IGA IIPG on the Union of Overlapped Patches
BT  - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
PB  - Atlantis Press
SP  - 27
EP  - 31
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-18.2018.6
DO  - 10.2991/ammsa-18.2018.6
ID  - Zhang2018/05
ER  -