Local projection stabilisation for convection-diffusion-reaction equations using a biorthogonal system and adaptive refinement

Authors

  • Bishnu Lamichhane University of Newcastle
  • Jordan Shaw-Carmody University of Newcastle

DOI:

https://doi.org/10.21914/anziamj.v63.17179

Keywords:

Finite Element Method, Biorthogonal System, Adaptivity, Stabilisation

Abstract

We consider a local projection stabilisation based on biorthogonal systems and adaptive refinement for convection-diffusion-reaction differential equations. The local projection stabilisation and adaptive finite element method are both based on a biorthogonal system. We investigate the numerical efficiency of the approach when compared to the standard finite element method. Numerical examples are presented to demonstrate the performance of the approach.

References

Published

2022-07-29

Issue

Section

Proceedings Engineering Mathematics and Applications Conference