FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

Date

2018-01-01

Author

John, Volker
Kaya Merdan, Songül
Novo, Julia

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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.

Subject Keywords

Mantel convection, Stokes problem with variable viscosity, Temperature problem with variable thermal convection, Inf-sup stable finite elements, SUPG stabilization

URI

https://hdl.handle.net/11511/53578

Journal

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING

Collections

Department of Mathematics, Article

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Citation Formats

V. John, S. Kaya Merdan, and J. Novo, “FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL,” INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, pp. 677–698, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53578.