25 citations · 97 across the 23 of their papers we have counts for
3 papers · 1 filter
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…
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…