TY - JOUR
T1 - Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media
AU - Kumar, K.
AU - Pop, I.S.
AU - Radu, F.A.
PY - 2014
Y1 - 2014
N2 - In this paper we discuss the numerical analysis of an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. The particularity lies in the modeling of the reaction term, especially the dissolution term, which has a multivalued character. We consider the weak formulation for the upscaled equation and provide rigorous stability and convergence results for both the semi-discrete (time discretization) and the fully discrete schemes. In doing so, compactness arguments are employed.
AB - In this paper we discuss the numerical analysis of an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. The particularity lies in the modeling of the reaction term, especially the dissolution term, which has a multivalued character. We consider the weak formulation for the upscaled equation and provide rigorous stability and convergence results for both the semi-discrete (time discretization) and the fully discrete schemes. In doing so, compactness arguments are employed.
U2 - 10.1007/s00211-013-0601-1
DO - 10.1007/s00211-013-0601-1
M3 - Article
SN - 0029-599X
VL - 127
SP - 715
EP - 749
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 4
ER -