4 papers
Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production
Anh-Khoa Vo, Ekeoma Rowland Ijioma, Nhu-Ngoc Nguyen
This work is devoted to the development and analysis of a linearization algorithm for microscopic elliptic equations, with scaled degenerate production, posed in a perforated mediu…
Multiscale Galerkin approximation scheme for a system of quasilinear parabolic equations
Ekeoma R. Ijioma, Stephen E. Moore
We discuss a multiscale Galerkin approximation scheme for a system of coupled quasilinear parabolic equations. These equations arise from the upscaling of a pore scale filtration c…
On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit
Vo Anh Khoa, Thieu Thi Kim Thoa, Ekeoma Rowland Ijioma
In this paper, we consider a microscopic semilinear elliptic equation posed in periodically perforated domains and associated with the Fourier-type condition on internal micro-surf…
Fast drift effects in the averaging of a filtration combustion system - a periodic homogenization approach
Ekeoma R. Ijioma, Adrian Muntean
We target at the periodic homogenization of a semi-linear reaction-diffusion-convection system describing filtration combustion, where fast drifts affect the competition between he…