A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes

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

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Non-conforming meshes are frequently employed in multi-component simulations and adaptive refinement. In this work, we develop a discontinuous Galerkin framework capable of accommodating non-conforming meshes and apply our approach to analyzing the transient heat conduction problem.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
PublisherSpringer-Verlag Berlin Heidelberg
Pages651-658
Number of pages8
ISBN (Print)9783540344681
DOIs
StatePublished - 2007

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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    Kulkarni, D. V., Rovas, D. V., & Tortorelli, D. A. (2007). A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. In Domain Decomposition Methods in Science and Engineering XVI (pp. 651-658). (Lecture Notes in Computational Science and Engineering; Vol. 55). Springer-Verlag Berlin Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_81