372 citations · 1.4k across the 57 of their papers we have counts for
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Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
Hanz Martin Cheng, Jerome Droniou, Kim-Ngan Le
We analyse the convergence of numerical schemes in the GDM-ELLAM (Gradient Discretisation Method-Eulerian Lagrangian Localised Adjoint Method) framework for a strongly coupled elli…
Unified convergence analysis of numerical schemes for a miscible displacement problem
Jérôme Droniou, Robert Eymard, Alain Prignet +1
This article performs a unified convergence analysis of a variety of numerical methods for a model of the miscible displacement of one incompressible fluid by another through a por…
An arbitrary order scheme on generic meshes for miscible displacements in porous media
Daniel Anderson, Jerome Droniou
We design, analyse and implement an arbitrary order scheme applicable to generic meshes for a coupled elliptic-parabolic PDE system describing miscible displacement in porous media…
Discontinuous Skeletal Gradient Discretisation Methods on polytopal meshes
Daniele A. Di Pietro, Jérôme Droniou, Gianmarco Manzini
In this work we develop arbitrary-order Discontinuous Skeletal Gradient Discretisations (DSGD) on general polytopal meshes. Discontinuous Skeletal refers to the fact that the globa…
An HMM--ELLAM scheme on generic polygonal meshes for miscible incompressible flows in porous media
Hanz Martin Cheng, Jerome Droniou
We design a numerical approximation of a system of partial differential equations modelling the miscible displacement of a fluid by another in a porous medium. The advective part o…
Numerical analysis for the pure Neumann control problem using the gradient discretisation method
Jerome Droniou, Neela Nataraj, Devika Shylaja
The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using t…