Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Discontinuous Galerkin framework for adaptive solution of parabolic problems

Deepak V. Kulkarni, Rovas Dimitrios, Daniel A. Tortorelli

Simple record

URIhttp://purl.tuc.gr/dl/dias/665B093B-65AF-4FE4-90F5-90D6B3263714-
Identifierhttps://doi.org/10.1002/nme.1828-
Languageen-
Extent25 pgesen
TitleDiscontinuous Galerkin framework for adaptive solution of parabolic problemsen
CreatorDeepak V. Kulkarnien
CreatorRovas Dimitriosen
CreatorΡοβας Δημητριοςel
CreatorDaniel A. Tortorellien
PublisherJohn Wiley and Sonsen
Content SummaryNon-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 ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-17-
Date of Publication2007-
Bibliographic CitationD.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.1828en

Services

Statistics

 

Copyright © DIAS 2013