74 citations · 654 across the 39 of their papers we have counts for
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math.NA2015★ 2 cited
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…
math.NA2015★ 7 cited
Variants of the Empirical Interpolation Method: symmetric formulation, choice of norms and rectangular extension
Fabien Casenave, Alexandre Ern, Tony Lelièvre
The Empirical Interpolation Method (EIM) is a greedy procedure that constructs approximate representations of two-variable functions in separated form. In its classical presentatio…
math.NA2015
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…