89 citations · 517 across the 30 of their papers we have counts for
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Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
Jean-Luc Guermond, Bojan Popov
This paper is concerned with the construction of a fast algorithm for computing the maximum speed of propagation in the Riemann solution for the Euler system of gas dynamics with t…
Invariant domains and first-order continuous finite element approximation for hyperbolic systems
Jean-Luc Guermond, Bojan Popov
We propose a numerical method to solve general hyperbolic systems in any space dimension using forward Euler time stepping and continuous finite elements on non-uniform grids. The…
Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex
Alexandre Ern, Jean-Luc Guermond
We construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are stable for any real number , and commute wit…
Finite element quasi-interpolation and best approximation
Alexandre Ern, Jean-Luc Guermond
This paper introduces a quasi-interpolation operator for scalar- and vector-valued finite element spaces constructed on affine, shape-regular meshes with some continuity across mes…
Numerical Simulations of Bouncing Jets
Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee
Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet…