97 citations · 734 across the 50 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.NA2011★ 11 cited
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales: proofs
Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling
We consider a coupled system of two singularly perturbed reaction-diffusion equations, with two small parameters , each multiplying the highest derivative in the eq…
math.NA2011★ 52 cited
On stability of discretizations of the Helmholtz equation (extended version)
Sofi Esterhazy, Jens Markus Melenk
We review the stability properties of several discretizations of the Helmholtz equation at large wavenumbers. For a model problem in a polygon, a complete -explicit stability (i…