49 citations · 195 across the 24 of their papers we have counts for
14 papers · 1 filter
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…
Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
R. K. H. Smeets, K. Mitra, I. S. Pop +1
We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous…
Space-time upscaling of reactive transport in porous media
Nicolae Suciu, Florin A. Radu, Iuliu S. Pop
Reactive transport in saturated/unsaturated porous media is numerically upscaled to the space-time scale of a hypothetical measurement through coarse-grained space-time (CGST) aver…
Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media
Davide Illiano, Jakub Wiktor Both, Iuliu Sorin Pop +1
We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flo…
An adaptive multi-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media
Manuela Bastidas, Carina Bringedal, Iuliu Sorin Pop
Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challengin…
Dynamic and weighted stabilizations of the -scheme applied to a phase-field model for fracture propagation
Christian Engwer, Iuliu Sorin Pop, Thomas Wick
We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolut…
An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this paper, we study a model for the transport of an external component, e.g., a surfactant, in variably saturated porous media. We discretize the model in time and space by com…
Iterative schemes for surfactant transport in porous media
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this work we consider the transport of a surfactant in a variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the t…
Upscaling of unsaturated flow in fractured porous media
Florian List, Kundan Kumar, Iuliu Sorin Pop +1
In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the fl…
Linear iterative schemes for doubly degenerate parabolic equations
Jakub W. Both, Kundan Kumar, Jan M. Nordbotten +2
Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore low…
A linear domain decomposition method for two-phase flow in porous media
David Seus, Florin A. Radu, Christian Rohde
This article is a follow up of our submitted paper [11] in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated a…
A linear domain decomposition method for partially saturated flow in porous media
David Seus, Koondanibha Mitra, Iuliu Sorin Pop +2
The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded…