TY - JOUR
T1 - Finite Element Error Analysis of a Mantle Convection Model
AU - John , Volker
AU - Kaya , Songul
AU - Novo , Julia
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 677
EP - 698
PY - 2018
DA - 2018/04
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12537.html
KW - Mantel Convection, Stokes problem with variable viscosity, temperature problem with variable thermal convection, inf-sup stable finite elements, SUPG stabilization.
AB - <p style="text-align: justify;">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.</p>