All Stories

  1. 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

    Article • Analysis, August 2019, De Gruyter

    Dirk Pauly

  2. Solution Theory, Variational Formulations, and Functional a Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More

    Article • Numerical Functional Analysis and Optimization, May 2019, Taylor & Francis

    Dirk Pauly

  3. The divDiv-complex and applications to biharmonic equations

    Article • Applicable Analysis, November 2018, Taylor & Francis

    Dirk Pauly

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

    Article • Computational Methods in Applied Mathematics, December 2017, De Gruyter

    Dirk Pauly

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

    Article • ESAIM Mathematical Modelling and Numerical Analysis, November 2017, EDP Sciences

    Dirk Pauly

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

    Article • Mathematical Methods in the Applied Sciences, October 2017, Wiley

    Dirk Pauly

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

    Article • Mathematical Methods in the Applied Sciences, August 2016, Wiley

    Dirk Pauly

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

    Article • Computational Methods in Applied Mathematics, January 2016, De Gruyter

    Dirk Pauly

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

    Article • SIAM Journal on Mathematical Analysis, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Dirk Pauly

  10. Poincaré meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields

    Article • Journal of Differential Equations, February 2015, Elsevier

    Dirk Pauly

  11. On the Maxwell constants in 3D

    Article • Mathematical Methods in the Applied Sciences, December 2014, Wiley

    Dirk Pauly

  12. On Maxwell's and Poincaré's constants

    Article • Discrete and Continuous Dynamical Systems - S, October 2014, American Institute of Mathematical Sciences (AIMS)

    Dirk Pauly

  13. New Poincaré-type inequalities

    Article • Comptes Rendus Mathématique, February 2014, Elsevier

    Dirk Pauly

  14. Some Poincaré type inequalities for quadratic matrix fields

    Article • PAMM, November 2013, Wiley

    Dirk Pauly

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

    Article • Comptes Rendus Mathématique, March 2013, Elsevier

    Dirk Pauly

  16. A Korn's inequality for incompatible tensor fields

    Article • PAMM, December 2011, Wiley

    Dirk Pauly

  17. A canonical extension of Kornʼs first inequality to motivated by gradient plasticity with plastic spin

    Article • Comptes Rendus Mathématique, December 2011, Elsevier

    Dirk Pauly

  18. Estimates for deviations from exact solutions of the Cauchy problem for Maxwell's equations

    Article • Annales Academiae Scientiarum Fennicae Mathematica, August 2011, Finnish Academy of Science and Letters

    Dirk Pauly

  19. Regularity results for generalized electro-magnetic problems

    Article • Analysis, January 2010, De Gruyter

    Dirk Pauly

  20. Functional a posteriori error estimates for elliptic problems in exterior domains

    Article • Journal of Mathematical Sciences, September 2009, Springer Science + Business Media

    Dirk Pauly

  21. Hodge–Helmholtz decompositions of weighted Sobolev spaces in irregular exterior domains with inhomogeneous and anisotropic media

    Article • Mathematical Methods in the Applied Sciences, September 2008, Wiley

    Dirk Pauly

  22. Generalized electro-magneto statics in nonsmooth exterior domains

    Article • Analysis, January 2007, De Gruyter

    Dirk Pauly