49 citations · 174 across the 33 of their papers we have counts for
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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…
On Closed and Exact Grad-grad- and div-Div-Complexes, Corresponding Compact Embeddings for Tensor Rotations, and a Related Decomposition Result for Biharmonic Problems in 3D
Dirk Pauly, Walter Zulehner
It is shown that the first biharmonic boundary value problem on a topologically trivial domain in 3D is equivalent to three (consecutively to solve) second-order problems. This dec…
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…
A Note on the Justification of the Eddy Current Model in Electrodynamics
Dirk Pauly, Rainer Picard
The issue of justifying the eddy current approximation of Maxwell's equations is re-considered in the time-dependent setting. Convergence of the solution operators is shown in the…