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
EditorsOlof Widlund, David Keyes
Pages651-658
Number of pages8
StatePublished - Dec 1 2007

Publication series

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

Fingerprint

Discontinuous Galerkin
Heat conduction
Parabolic Equation
Mesh
Transient Heat Conduction
Adaptive Refinement
Formulation
Simulation
Framework

ASJC Scopus subject areas

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

Cite this

Kulkarni, D. V., Rovas, D. V., & Tortorelli, D. A. (2007). A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. In O. Widlund, & D. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XVI (pp. 651-658). (Lecture Notes in Computational Science and Engineering; Vol. 55).

A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. / Kulkarni, Deepak V.; Rovas, Dimitrios V.; Tortorelli, Daniel A.

Domain Decomposition Methods in Science and Engineering XVI. ed. / Olof Widlund; David Keyes. 2007. p. 651-658 (Lecture Notes in Computational Science and Engineering; Vol. 55).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kulkarni, DV, Rovas, DV & Tortorelli, DA 2007, A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. in O Widlund & D Keyes (eds), Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol. 55, pp. 651-658.
Kulkarni DV, Rovas DV, Tortorelli DA. A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. In Widlund O, Keyes D, editors, Domain Decomposition Methods in Science and Engineering XVI. 2007. p. 651-658. (Lecture Notes in Computational Science and Engineering).
Kulkarni, Deepak V. ; Rovas, Dimitrios V. ; Tortorelli, Daniel A. / A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshes. Domain Decomposition Methods in Science and Engineering XVI. editor / Olof Widlund ; David Keyes. 2007. pp. 651-658 (Lecture Notes in Computational Science and Engineering).
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