On discontinuous Galerkin multiscale methods
In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. We show a priori error bounds for convection dominate...
| Main Author: | |
|---|---|
| Format: | Others |
| Language: | English |
| Published: |
Uppsala universitet, Avdelningen för beräkningsvetenskap
2013
|
| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-200260 |
| Summary: | In this thesis a new multiscale method, the discontinuous Galerkin multiscale method, is proposed. The method uses localized fine scale computations to correct a global coarse scale equation and thereby takes the fine scale features into account. We show a priori error bounds for convection dominated diffusion-convection-reaction problems with variable coefficients. We also present a posteriori error bound in the case of no convection or reaction and present an adaptive algorithm which tunes the method parameters automatically. We also present extensive numerical experiments which verify our analytical findings. |
|---|