期刊
COMPUTATIONAL & APPLIED MATHEMATICS
卷 39, 期 1, 页码 -出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-019-0964-8
关键词
Darcy's equations; Heat equation; Brezzi-Rappaz-Raviart theorem; Finite element method; A priori error estimates
In this article, we consider the heat equation coupled with Darcy's law by a nonlinear viscosity depending on the temperature. We recall two numerical schemes and introduce a new non-stabilized one, we show the existence and uniqueness of the solutions and we establish an a priori error estimates using the Brezzi-Rappaz-Raviart theorem. Numerical investigations are preformed and showed.
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