Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/665B093B-65AF-4FE4-90F5-90D6B3263714 | - |
| Identifier | https://doi.org/10.1002/nme.1828 | - |
| Language | en | - |
| Extent | 25 pges | en |
| Title | Discontinuous Galerkin framework for adaptive solution of parabolic problems | en |
| Creator | Deepak V. Kulkarni | en |
| Creator | Rovas Dimitrios | en |
| Creator | Ροβας Δημητριος | el |
| Creator | Daniel A. Tortorelli | en |
| Publisher | John Wiley and Sons | en |
| Content Summary | Non-conforming meshes are frequently employed in adaptive analyses and simulations of multi-component systems. We develop a discontinuous Galerkin formulation for the discretization of parabolic problems that weakly enforces continuity across non-conforming mesh interfaces. A benefit of the DG scheme is that it does not introduce constraint equations and their resulting Lagrange multiplier fields as done in mixed and mortar methods. The salient features of the formulation are highlighted through an a priori analysis. When coupled with a mesh refinement scheme the DG formulation is able to accommodate multiple hanging nodes per element edge and leads to an effective adaptive framework for the analysis of interface evolution problems. We demonstrate our approach by analysing the Stefan problem of solidification. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-17 | - |
| Date of Publication | 2007 | - |
| Bibliographic Citation | D.V. Kulkarni, D.V. Rovas, D.A. Tortorelli ," Discontinuous Galerkin framework for adaptive solution of parabolic problems,"Intern. j. for num. methods in eng.,vol. 70,no. 1,pp. 1-24,2007.doi:10.1002/nme.1828 | en |
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