4 papers · 1 filter
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
J Droniou, R Eymard, T Gallouët +2
We consider a general linear parabolic problem with extended time boundary conditions (including initial value problems and periodic ones), and approximate it by the implicit Euler…
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
We first give a general error estimate for the nonconforming approximation of a problem for which a Banach-Ne{\v c}as-Babu{\v s}ka (BNB) inequality holds. This framework covers par…
Extensions of derivations and symmetric operators
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Given a densely defined skew-symmetric operators A 0 on a real or complex Hilbert space V , we parametrize all m-dissipative extensions in terms of contractions : H-$\rightarro…
A new convergence proof for approximations of the Stefan problem
Robert Eymard, Thierry Gallouët
We consider the Stefan problem, firstly with regular data and secondly with irregular data. In both cases is given a proof for the convergence of an approximation obtained by regul…