Splitting-based domain decomposition methods for two-phase flow with different rock types

Effective Model of Two-phase Flow in a Porous Medium Made of Different Rock Types

We consider the behavior of immiscible and incompressible two-phase ows in a porous medium made of several rock types. Each rock type, is deened by one porosity, one absolute rock permeability ten-sor, two relative permeability curves and one capillary pressure curve. Using two-scale convergence, we get an homogenized model which governs the global behavior of the ow. In this model, macroscopic...

Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

Parallel Subdomain-based Preconditioner for Non-overlapping Domain Decomposition Methods Parallel Subdomain-based Preconditioner for Non-overlapping Domain Decomposition Methods

We present a new parallelizable preconditioner that is used as the local component for a two-level preconditioner similar to BPS. On 2D model problems that exhibit either high anisotropy or discontinuity, we demonstrate its attracting numerical behaviour and compare it to the regular BPS. Finally, to alleviate the construction cost of this new preconditioner, that requires the explicit computat...

Local preconditioners for two-level non-overlapping domain decomposition methods

Two-level domain decomposition methods for diffuse optical tomography

Diffuse optical tomography (DOT) in the near infrared involves the reconstruction of spatially varying optical properties of a turbid medium from boundary measurements based on a forward model of photon propagation. Due to the nonlinear nature of DOT, high quality image reconstruction is a computationally demanding problem which requires repeated use of forward and inverse solvers. Therefore, i...