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20112022
most citedMaxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

49 citations · 174 across the 33 of their papers we have counts for

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math.AP2011★ 4 cited

A Canonical Extension of Korn's First Inequality to H(Curl) motivated by Gradient Plasticity with Plastic Spin

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch

We prove a Korn-type inequality in H(Curl) for tensor fields.

math.AP2011★ 49 cited

Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch

Maxwell meets Korn: A New Coercive Inequality for Tensor Fields with Square-Integrable Exterior Derivative

math.AP2011

An Elementary Extension of Korn's First Inequality to H(Curl) motivated by Gradient Plasticity with Plastic Spin

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch

We prove a Korn-type inequality for tensor fields without gradient structure, which generalizes Korn's first inequality.

math.AP2011★ 2 cited

Estimates for Deviations from Exact Solutions of Maxwell's Initial Boundary Value Problem

Dirk Pauly, Sergey Repin, Tuomo Rossi

In this paper, we consider an initial boundary value problem for Maxwell's equations. For this hyperbolic type problem, we derive guaranteed and computable upper bounds for the dif…

math.AP2011

Two-Sided A Posteriori Error Bounds for Electro-Magneto Static Problems

Dirk Pauly, Sergey Repin

This paper is concerned with the derivation of computable and guaranteed upper and lower bounds of the difference between the exact and the approximate solution of a boundary value…

math.AP2011

On the Polynomial and Exponential Decay of Eigen-Forms of Generalized Time-Harmonic Maxwell Problems

Dirk Pauly

We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems…