49 citations · 174 across the 33 of their papers we have counts for
6 papers · 1 filter
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…
An Elementary method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations
Immanuel Anjam, Dirk Pauly
In this paper we present a simple method of deriving a posteriori error equalities and estimates for linear elliptic and parabolic partial differential equations. The error is meas…
Solution Theory, Variational Formulations, and Functional A Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More
Dirk Pauly
We prove a comprehensive solution theory using tools from functional analysis, show corresponding variational formulations, and present functional a posteriori error estimates for…
A Posteriori Error Analysis for the Optimal Control of Magneto-Static Fields
Dirk Pauly, Irwin Yousept
This paper is concerned with the analysis and numerical analysis for the optimal control of first-order magneto-static equations. Necessary and sufficient optimality conditions are…
Functional A Posteriori Error Equalities for Conforming Mixed Approximations of Elliptic Problems
Immanuel Anjam, Dirk Pauly
In this paper we show how to find the exact error (not just an estimate of the error) of a conforming mixed approximation by using the functional type a posteriori error estimates…