Abstract
In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.
Original language | English |
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Title of host publication | Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers |
Editors | I. Lirkov, S. Margenov |
Place of Publication | Berlin |
Publisher | Springer |
Pages | 103-110 |
Number of pages | 8 |
ISBN (Print) | 9783319734408 |
DOIs | |
Publication status | Published - 2018 |
Event | 11th International Conference on Large-Scale Scientific Computations, (LSSC 2017) - Sozopol, Bulgaria Duration: 5 Jun 2017 → 9 Jun 2017 Conference number: 11 http://parallel.bas.bg/Conferences/SciCom17/ |
Publication series
Name | Lecture Notes in Computer Science |
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Volume | 10665 |
ISSN (Print) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Conference
Conference | 11th International Conference on Large-Scale Scientific Computations, (LSSC 2017) |
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Abbreviated title | LSSC 2017 |
Country/Territory | Bulgaria |
City | Sozopol |
Period | 5/06/17 → 9/06/17 |
Internet address |
Keywords
- Div-curl system
- Mimetic methods
- Spectral element method