D. Pauly

发表

A posteriori estimates for the stationary Stokes problem in exterior domains

S. Repin, D. Pauly, 2020 .

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.

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK A Posteriori Estimates for the Stationary Stokes Problem in Exterior Domains by

D. Pauly, 2018 .

A posteriori error analysis for the optimal control of magneto-static fields

D. Pauly, I. Yousept, 2016, 1607.04745.

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK A Posteriori Error Analysis for the Optimal Control of Magneto-Static Fields by

D. Pauly, I. Yousept, 2016 .

Solution Theory and Functional A Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics

D. Pauly, 2016 .

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations by

D. Pauly, I. Anjam, 2016 .

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

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

Conforming and non-conforming functional a posteriori error estimates for elliptic boundary value problems in exterior domains: theory and numerical tests

D. Pauly, O. Mali, A. Muzalevskiy, 2013, 1307.4709.

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

S. Repin, T. Rossi, D. Pauly, 2011, 1105.4110.

ESTIMATES FOR DEVIATIONS FROM EXACT SOLUTIONS OF THE CAUCHY PROBLEM FOR MAXWELL'S EQUATIONS

S. Repin, T. Rossi, D. Pauly, 2011 .

Two-sided a posteriori error bounds for electro-magnetostatic problems

S. Repin, D. Pauly, 2010, 1105.4107.

Functional A Posteriori Estimates for Deviations from Exact Solutions of Maxwell’s Initial Boundary Value Problem

S. Repin, T. Rossi, D. Pauly, 2010 .

Functional a posteriori error estimates for elliptic problems in exterior domains

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

Computation of generalized time-periodic waves using differential forms, exact controllability, least-squares formulation, conjugate gradient method and discrete exterior calculus Part 1, Theoretical considerations

T. Rossi, D. Pauly, T. Rossi, 2008 .

Theoretical Considerations on the Computation of Generalized Time-Periodic Waves

T. Rossi, D. Pauly, T. Rossi, 2011, 1105.4095.

Generalized Maxwell equations in exterior domains 5, Low frequency asymptotics

D. Pauly, 2007 .

Generalized Maxwell equations in exterior domains 1, Regularity results, trace theorems and static solution theory

D. Pauly, P. Kuhn, 2007 .

Generalized electro-magneto statics in nonsmooth exterior domains

D. Pauly, 2011, 1105.4070.

Generalized Maxwell equations in exterior domains 3, Electro-magneto statics

D. Pauly, 2007 .

Poincare meets Korn via Maxwell: Extending Korn's First Inequality to Incompatible Tensor Fields

P. Neff, D. Pauly, K. Witsch, 2012, 1203.2744.

Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions

G. Starke, P. Neff, D. Pauly, 2013, 1307.1434.

Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticity

P. Neff, D. Pauly, Johannes Lankeit, 2013 .

A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains

D. Pauly, 2020 .

A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized A 0 * \mathrm{A}_{0}^{*} - A 1 \mathrm{A}_{1} -lemma in Hilbert spaces

D. Pauly, 2017, Analysis.

New Poincaré-type inequalities

G. Starke, P. Neff, D. Pauly, 2014 .

On a canonical extension of Korn’s first and Poincaré’s inequalities to H(CURL)

P. Neff, D. Pauly, K. Witsch, 2012 .

LOW-FREQUENCY ASYMPTOTICS FOR TIME-HARMONIC MAXWELL EQUATIONS IN EXTERIOR DOMAINS AND COMPARISON TO EDDY-CURRENT APPROXIMATIONS

D. Pauly, 2018 .

The index of some mixed order Dirac type operators and generalised Dirichlet–Neumann tensor fields

D. Pauly, M. Waurick, 2020, Mathematische Zeitschrift.

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

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

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.

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in ND by

D. Pauly, Sebastian Bauer, M. Schomburg, 2018 .

The divDiv-complex and applications to biharmonic equations

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

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..

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

D. Pauly, 2011, 1105.4105.

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

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

Generalized Maxwell equations in exterior domains 2, Radiation problems and low frequency behavior

D. Pauly, 2007 .

Some Poincaré type inequalities for quadratic matrix fields

G. Starke, P. Neff, D. Pauly, 2013 .

Maxwell meets Korn: A new coercive inequality for tensor fields in RN×N with square‐integrable exterior derivative

P. Neff, D. Pauly, K. Witsch, 2011, 1105.5013.

A Korn's inequality for incompatible tensor fields

P. Neff, D. Pauly, K. Witsch, 2011 .

A canonical extension of Kornʼs first inequality to H(Curl) motivated by gradient plasticity with plastic spin

P. Neff, D. Pauly, K. Witsch, 2011, 1106.4731.

A Short Note on a Weighted Friedrichs Inequality

D. Pauly, I. Anjam, 2018, 1809.04577.

Traces for Hilbert Complexes

R. Hiptmair, Erick Schulz, D. Pauly, 2022, Journal of Functional Analysis.

No . B . 7 / 2007 Generalized Maxwell Equations in Exterior Domains I : Regularity Results , Trace Theorems and Static Solution Theory

D. Pauly, P. Kuhn, 2008 .

Hilbert Complexes: Analysis, Applications, and Discretizations

D. Arnold, D. Pauly, A. Alonso Rodríguez, 2023, Oberwolfach Reports.

Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex

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

The elasticity complex: compact embeddings and regular decompositions

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

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

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

lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized A ∗ 0-A 1-lemma in Hilbert spaces

D. Pauly, 2018 .

On Korn’s first inequality for mixed tangential and normal boundary conditions on bounded Lipschitz domains in $$\mathbb {R}^N$$RN

D. Pauly, Sebastian Bauer, 2015, 1512.08483.

On Korn's first inequality for tangential or normal boundary conditions with explicit constants

D. Pauly, Sebastian Bauer, 2015, 1503.07419.

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK On Korn’s First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants by

D. Pauly, Sebastian Bauer, 2015 .

The Stationary Stokes Problem in Exterior Domains: Estimates of the Distance to Solenoidal Fields and Functional A Posteriori Error Estimates

S. Repin, D. Pauly, 2018, 1810.12555.

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.

JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics 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

W. Zulehner, D. Pauly, 2016 .

On a class of degenerate abstract parabolic problems and applications to some eddy current models

D. Pauly, S. Trostorff, R. Picard, 2018, Journal of Functional Analysis.

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

P. Neff, D. Pauly, K. Witsch, 2013, 1302.2661.

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..

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..

Time-Harmonic Electro-Magnetic Scattering in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions

D. Pauly, Frank Osterbrink, 2018, 1809.01117.

On the Maxwell and Friedrichs/Poincaré constants in ND

D. Pauly, 2017, Mathematische Zeitschrift.

On Constants in Maxwell Inequalities for Bounded and Convex Domains

D. Pauly, 2015 .

On the Maxwell constants in 3D

D. Pauly, 2014, 1406.1723.

On Maxwell's and Poincare's Constants

D. Pauly, 2013, 1311.2186.

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

P. Neff, D. Pauly, K. Witsch, 2011, 1105.4039.

Regularity results for generalized electro-magnetic problems

D. Pauly, P. Kuhn, 2010, 1105.4091.

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell’s Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions

D. Pauly, Frank Osterbrink, 2019 .

Fe b 20 16 THE MAXWELL COMPACTNESS PROPERTY IN BOUNDED WEAK LIPSCHITZ DOMAINS WITH MIXED BOUNDARY CONDITIONS

D. Pauly, Sebastian Bauer, M. Schomburg, 2018 .

SCHRIFTENREIHE DER FAKULTÄT FÜR MATHEMATIK The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions

D. Pauly, Sebastian Bauer, M. Schomburg, 2015 .

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 estimates for boundary element methods

S. Repin, D. Pauly, D. Praetorius, 2019, Numerische Mathematik.

A note on the justification of the eddy current model in electrodynamics

D. Pauly, R. Picard, 2016, 1606.00472.