19 citations · 45 across the 21 of their papers we have counts for
25 papers
A posteriori error estimates for domain decomposition methods
Johannes Kraus, Sergey Repin
Nowadays, a posteriori error control methods have formed a new important part of the numerical analysis. Their purpose is to obtain computable error estimates in various norms and…
Functional a posteriori error estimates for parabolic obstacle problems
Darya E. Apushkinskaya, Sergey I. Repin
The paper is concerned with functional type a posteriori estimates for the initial boundary value problem for a parabolic partial differential equation with an obstacle. We deduce…
An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications
Stanislav Sysala, Jaroslav Haslinger, Daya Reddy +1
This work is concerned with an abstract inf-sup problem generated by a bilinear Lagrangian and convex constraints. We study the conditions that guarantee no gap between the inf-sup…
Functional a posteriori error estimates for boundary element methods
Stefan Kurz, Dirk Pauly, Dirk Praetorius +2
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work p…
The Stationary Stokes Problem in Exterior Domains: Estimates of the Distance to Solenoidal Fields and Functional A Posteriori Error Estimates
Dirk Pauly, Sergey Repin
This paper is concerned with the analysis of the inf-sup condition arising in the stationary Stokes problem in exterior domains. We deduce values of the constant in the stability l…
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem
Kundan Kumar, Svetlana Kyas, Jan Nordbotten +1
The paper is concerned with guaranteed a posteriori error estimates for a class of evolutionary problems related to poroelastic media governed by the quasi-static linear Biot equat…