Discontinuous Galerkin FEM of hybrid type

• Oikawa Issei

  Graduate School of Mathematical Sciences, The University of Tokyo

• Kikuchi Fumio

  Graduate School of Mathematical Sciences, The University of Tokyo

Abstract

Recently, the discontinuous Galerkin FEM's (DGFEM) are widely studied. They use discontinuous approximate functions, where the discontinuity is dealt with by the Lagrange multiplier and/or interior penalty techniques. Such methods has a merit that various types of approximate functions can be used besides the usual continuous piecewise polynomials, although the band-widths of arising matrices are often much larger than the conventional ones. We here propose a hybrid displacement type DGFEM for the 2D Poisson equation with some mathematical and numerical results. In particular, we can use element matrices and vectors similar to those in the classical FEM.

Journal

• JSIAM Letters

  JSIAM Letters 2 (0), 49-52, 2010

  The Japan Society for Industrial and Applied Mathematics

Keywords

• Discontinuous Galerkin FEM
• hybrid method
• stabilization
• error analysis

Details

• CRID: 1390282680278253312
• NII Article ID: 130000257642
• DOI: 10.14495/jsiaml.2.49
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/2/0/2_0_49/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed