Dirk Pauly

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On polynomial and exponential decay of eigen-solutions to exterior boundary value problems for the generalized time-harmonic Maxwell system

Dirk Pauly, D. Pauly, 2012, Asymptot. Anal..

Complete low frequency asymptotics for time-harmonic generalized Maxwell equations in nonsmooth exterior domains

Dirk Pauly, D. Pauly, 2011, Asymptot. Anal..

The elasticity complex: compact embeddings and regular decompositions

Walter Zulehner, Dirk Pauly, W. Zulehner, 2020, Applicable Analysis.

The Elasticity Complex pdf

Walter Zulehner, Dirk Pauly, 2020, ArXiv.

On an Extension of the First Korn Inequality to Incompatible Tensor Fields on Domains of Arbitrary Dimensions

Patrizio Neff, Dirk Pauly, Karl-Josef Witsch, 2014, Modeling, Simulation and Optimization for Science and Technology.

Functional A Posteriori Error Control for Conforming Mixed Approximations of Coercive Problems with Lower Order Terms

Dirk Pauly, Immanuel Anjam, 2016, Comput. Methods Appl. Math..

The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions

Sebastian Bauer, Dirk Pauly, Michael Schomburg, 2015, SIAM J. Math. Anal..

Poincaré-Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments

Dirk Pauly, Jan Valdman, D. Pauly, 2019, Comput. Math. Appl..

Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions

Dirk Pauly, Frank Osterbrink, D. Pauly, 2019, SIAM J. Math. Anal..

Friedrichs/Poincare Type Constants for Gradient, Rotation, and Divergence: Theory and Numerical Experiments pdf

Dirk Pauly, Jan Valdman, 2019, ArXiv.

Functional a posteriori error estimates for boundary element methods pdf

Sergey Repin, Stefan Kurz, Dirk Praetorius, 2019, ArXiv.

An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations

Dirk Pauly, Immanuel Anjam, 2019, Comput. Methods Appl. Math..

Hilbert complexes with mixed boundary conditions part 1: de Rham complex

Dirk Pauly, Michael Schomburg, D. Pauly, 2021, Mathematical Methods in the Applied Sciences.

Hilbert Complexes with Mixed Boundary Conditions -- Part 2: Elasticity Complex

Dirk Pauly, Michael Schomburg, 2021 .

A Compactness Result for the div-curl System with Inhomogeneous Mixed Boundary Conditions for Bounded Lipschitz Domains and Some Applications

Dirk Pauly, Nathanael Skrepek, 2021 .

The divDiv-complex and applications to biharmonic equations

Walter Zulehner, Dirk Pauly, W. Zulehner, 2018, Applicable Analysis.

Functional A Posteriori Error Equalities for Conforming Mixed Approximations of Elliptic Problems

Dirk Pauly, Immanuel Anjam, D. Pauly, 2014 .

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

Walter Zulehner, Dirk Pauly, W. Zulehner, 2016, 1609.05873.

Functional a posteriori error estimates for elliptic problems in exterior domains

Sergey Repin, Dirk Pauly, S. Repin, 2009, 1105.4101.

3. Weck’s selection theorem: The Maxwell compactness property for bounded weak Lipschitz domains with mixed boundary conditions in arbitrary dimensions

Dirk Pauly, Sebastian Bauer, Michael Schomburg, 2018, Maxwell’s Equations.

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, D. Pauly, 2016, Numerical Functional Analysis and Optimization.