In the article, a new and efficient mass-conserving operator splitting domain decomposition
method (S-DDM) is proposed and analyzed for solving two dimensional variable coefficient …

We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …

In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint
flux approximations of the Darcy problem on logically rectangular grids. The approach is …

In this work, we study time-splitting strategies for the numerical approximation of
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …

In this paper, we consider multipoint flux mixed finite element discretizations for slightly
compressible Darcy flow in porous media. The methods are formulated on general meshes …

We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …

In this paper, a conserved domain decomposition method for solving convection–diffusion
equations with variable coefficients is analyzed. The interface fluxes over the subdomains …

Slightly compressible single-phase Darcy flow in porous media is described by the
nonlinear system (cf.[2]) u=− Kρ (p)(∇ p− ρ (p) g) in Ω×(0, T], φρ (p) t+∇· u= f in Ω×(0, T] …

We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …