Title :
An immersed finite element method for anisotropic flow models in porous medium
Author :
Zhang, Ruigang ; Chen, Huanzhen
Author_Institution :
Sch. of Math. Sci., Shandong Normal Univ., Jinan, China
Abstract :
In this paper we develop an immersed interface finite element method for a kind of anisotropy diffusion models governed by the elliptic interface problems with discontinuous tensor-coefficients. The method is based on linear polynomials on non-interface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H1-norm and L2-norm.
Keywords :
anisotropic media; boundary layers; diffusion; finite element analysis; flow through porous media; polynomials; H1-norm; L2-norm; anisotropic flow models; anisotropy diffusion models; discontinuous tensor-coefficients; elliptic interface problems; flux jump condition; immersed finite element method; noninterface triangular elements; optimal error estimates; piecewise linear polynomials; porous medium; Manganese; Silicon compounds;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765232
