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Discontinuous Galerkin framework for adaptive solution of parabolic problems

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

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URIhttp://purl.tuc.gr/dl/dias/665B093B-65AF-4FE4-90F5-90D6B3263714-
Αναγνωριστικόhttps://doi.org/10.1002/nme.1828-
Γλώσσαen-
Μέγεθος25 pgesen
ΤίτλοςDiscontinuous Galerkin framework for adaptive solution of parabolic problemsen
ΔημιουργόςDeepak V. Kulkarnien
ΔημιουργόςRovas Dimitriosen
ΔημιουργόςΡοβας Δημητριοςel
ΔημιουργόςDaniel A. Tortorellien
ΕκδότηςJohn Wiley and Sonsen
ΠερίληψηNon-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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-17-
Ημερομηνία Δημοσίευσης2007-
Βιβλιογραφική ΑναφοράD.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

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