John, L;
Neilan, M;
Smears, I;
(2016)
Stable Discontinuous Galerkin FEM Without Penalty Parameters.
In: Karasözen, B and Manguoğlu, M and Tezer-Sezgin, M and Göktepe, S and Uğur, Ö, (eds.)
Numerical Mathematics and Advanced Applications: ENUMATH 2015.
(pp. pp. 165-173).
Springer International Publishing: Cham, Switzerland.
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Abstract
We propose a modified local discontinuous Galerkin (LDG) method for second–order elliptic problems that does not require extrinsic penalization to ensure stability. Stability is instead achieved by showing a discrete Poincaré–Friedrichs inequality for the discrete gradient that employs a lifting of the jumps with one polynomial degree higher than the scalar approximation space. Our analysis covers rather general simplicial meshes with the possibility of hanging nodes.
| Type: | Proceedings paper |
|---|---|
| Title: | Stable Discontinuous Galerkin FEM Without Penalty Parameters |
| Event: | 2015 European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2015) |
| Location: | Middle E Tech Univ, Inst Appl Math, Ankara, TURKEY |
| Dates: | 14 September 2015 - 18 September 2015 |
| ISBN-13: | 9783319-399270 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/978-3-319-39929-4_17 |
| Publisher version: | http://dx.doi.org/10.1007/978-3-319-39929-4_17 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1572494 |
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