4 papers
An adaptive, space-time discretized linear iterative scheme for doubly-degenerate parabolic problems
Ayesha Javed, Koondanibha Mitra, Iuliu Sorin Pop
Degenerate diffusion problems, where the governing parabolic equation can change type to either an ordinary differential equation or an elliptic equation, model many real life appl…
Robust, fast, and adaptive splitting schemes for nonlinear doubly-degenerate diffusion equations
Ayesha Javed, Koondanibha Mitra, Iuliu Sorin Pop
We consider linear iterative schemes for the time-discrete equations stemming from a class of nonlinear, doubly-degenerate parabolic equations. More precisely, the diffusion is non…
Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems
Muhammad Awais Khan, Jérôme Droniou, Kim-Ngan Le +1
We present iterative solvers to approximate the solution of numerical schemes for stochastic Stefan problems. After briefly talking about the convergence results, we tackle the que…
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…