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The compact discontinuous Galerkin method for elliptic problems
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Dedner, Andreas and Klöfkorn, Robert (2008) The compact discontinuous Galerkin method for elliptic problems. In: (FVCA5) 5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives, Aussois, France, 8-13 Jun 2008. Published in: Finite Volumes for Complex Applications V pp. 761-776. ISSN 9781848210356.
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Abstract
We present results for all Benchmark problems using the Compact Discontinuous Galerkin (CDG) method of order 3. This method combines the stability and accuracy properties of the Local Discontinuous Galerkin (LDG) method while retaining the small stencil of other DG schemes. This reduces storage requirements and allows a simpler parallelization approach.
As in the LDG method a stabilization parameter is used to penalize jumps of the discrete solution between elements. We suggest a special choice for this parameter which can be used for all test cases. The implementation is based on the DUNE software package.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Finite Volumes for Complex Applications V | ||||
| Publisher: | Wiley-ISTE | ||||
| ISSN: | 9781848210356 | ||||
| Official Date: | 2008 | ||||
| Dates: |
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| Page Range: | pp. 761-776 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Adapted As: | The Compact Discontinuous Galerkin Method for Elliptic Problems | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | (FVCA5) 5th International Symposium on Finite Volumes for Complex Applications - Problems and Perspectives | ||||
| Type of Event: | Conference | ||||
| Location of Event: | Aussois, France | ||||
| Date(s) of Event: | 8-13 Jun 2008 | ||||
| Related URLs: |
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