227 citations · 335 across the 18 of their papers we have counts for
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math.NA2019
Galerkin approximation of linear problems in Banach and Hilbert spaces
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
In this paper we study the conforming Galerkin approximation of the problem: find u U such that a(u, v) = <L, v> for all v V, where U and V are Hilbert or Banach spaces…
math.NA2019
The gradient discretisation method for linear advection problems
Jérôme Droniou, Robert Eymard, T. Gallouët +1
We adapt the Gradient Discretisation Method (GDM), originally designed for elliptic and parabolic partial differential equations, to the case of a linear scalar hyperbolic equation…
math.NA2019★ 12 cited
High-order mass-lumped schemes for nonlinear degenerate elliptic equations
Jerome Droniou, Robert Eymard
We present and analyse a numerical framework for the approximation of nonlinear degenerate elliptic equations of the Stefan or porous medium types. This framework is based on piece…