FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL


John V., KAYA MERDAN S. , Novo J.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, vol.15, pp.677-698, 2018 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 15
  • Publication Date: 2018
  • Title of Journal : INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
  • Page Numbers: pp.677-698

Abstract

A mantle convection model consisting of the stationary Stokes equations and a time dependent convection-diffusion equation for the temperature is studied. The Stokes problem is discretized with a conforming inf-sup stable pair of finite element spaces and the temperature equation is stabilized with the SUPG method. Finite element error estimates are derived which show the dependency of the error of the solution of one problem on the error of the solution of the other equation. The dependency of the error bounds on the coefficients of the problem is monitored.