Abstract
Rheology and geometry are two important factors in the Earth’s mantle convection phenomenon. That is, the viscosity is strongly dependent on the temperature and the phenomenon occurs in a spherical shell domain. Focusing our attention on these two factors, we describe a total approach of numerical simulation of the Earth’s mantle convection, i.e., mathematical modeling, mathematical analysis, computational scheme, error analysis, and numerical result.
Dedicated to Professors Masayasu Mimura and Takaaki Nishida on their 60th birthday
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Tabata, M., Suzuki, A. (2002). Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection. In: Babuška, I., Ciarlet, P.G., Miyoshi, T. (eds) Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lecture Notes in Computational Science and Engineering, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56288-4_16
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DOI: https://doi.org/10.1007/978-3-642-56288-4_16
Publisher Name: Springer, Berlin, Heidelberg
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