Elliptic heat conduction specialized applications involving high gradients: Local discontinuous Galerkin finite element method - Part 1

A. Jain, K. K. Tamma

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, a Local Discontinuous Galerkin (LDG) finite element method is described for solving specialized heat conduction problems involving sharp/high gradients. The advantages of LDG method over the traditional continuous Galerkin (CG) finite element method are presented. It is further shown in the problems involving sharp and/or high gradients, that the LDG method is less expensive, requiring a fewer number of degrees of freedom as compared to the continuous Galerkin method to capture the peak value of the gradients. Simple one- and two-dimensional applications are illustrated to describe the applicability to this class of field problems.

Original languageEnglish (US)
Pages (from-to)335-343
Number of pages9
JournalJournal of Thermal Stresses
Volume33
Issue number4
DOIs
StatePublished - Apr 1 2010

Keywords

  • Finite elements
  • Heat conduction
  • High gradients
  • Local discontinuous Galerkin method

Fingerprint Dive into the research topics of 'Elliptic heat conduction specialized applications involving high gradients: Local discontinuous Galerkin finite element method - Part 1'. Together they form a unique fingerprint.

Cite this