Abstract
In this paper, we show how to couple the local discontinuous Galerkin method and the Raviart-Thomas mixed finite element method for elliptic equations modeling flow problems. We then show that the approximation of the velocity converges with the optimal order of k when we take the local discontinuous Galerkin that uses polynomials of degree k and the Raviart-Thomas space of polynomials of degree k-1.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 505-522 |
| Number of pages | 18 |
| Journal | Computational Geosciences |
| Volume | 6 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 2002 |
Bibliographical note
Funding Information:This work was funded in part by the National Science Foundation, project numbers DMS-9805491 and DMS-9873326. Bernardo Cockburn is partially supported by the National Science Foundation and the Minnesota Supercomputing Institute. Clint Dawson is partially supported by the National Science Foundation.
Keywords
- Discontinuous Galerkin method
- Elliptic equations
- Mixed finite element method
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