Pauly, Dirk A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains. (English) Zbl 1459.35086 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 243-250 (2020). MSC: 35F35 35A27 58A12 PDFBibTeX XMLCite \textit{D. Pauly}, in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 243--250 (2020; Zbl 1459.35086) Full Text: DOI arXiv
Pauly, Dirk; Zulehner, Walter The divDiv-complex and applications to biharmonic equations. (English) Zbl 1459.35126 Appl. Anal. 99, No. 9, 1579-1630 (2020). MSC: 35J40 31B30 PDFBibTeX XMLCite \textit{D. Pauly} and \textit{W. Zulehner}, Appl. Anal. 99, No. 9, 1579--1630 (2020; Zbl 1459.35126) Full Text: DOI Backlinks: MO
Pauly, Dirk; Valdman, Jan Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments. (English) Zbl 1445.35017 Comput. Math. Appl. 79, No. 11, 3027-3067 (2020). MSC: 35A23 35Q61 35P05 35R45 PDFBibTeX XMLCite \textit{D. Pauly} and \textit{J. Valdman}, Comput. Math. Appl. 79, No. 11, 3027--3067 (2020; Zbl 1445.35017) Full Text: DOI arXiv
Pauly, Dirk Solution theory, variational formulations, and functional a posteriori error estimates for general first order systems with applications to electro-magneto-statics and more. (English) Zbl 1429.35048 Numer. Funct. Anal. Optim. 41, No. 1, 16-112 (2020). MSC: 35F35 35J46 47A05 47A50 65N15 78A25 78A30 PDFBibTeX XMLCite \textit{D. Pauly}, Numer. Funct. Anal. Optim. 41, No. 1, 16--112 (2020; Zbl 1429.35048) Full Text: DOI arXiv
Pauly, Dirk On the Maxwell and Friedrichs/Poincaré constants in ND. (English) Zbl 1426.35007 Math. Z. 293, No. 3-4, 957-987 (2019). MSC: 35A23 35Q61 35E10 35F15 35R45 46E40 53A45 35Q30 76D07 35J20 46E35 65N30 PDFBibTeX XMLCite \textit{D. Pauly}, Math. Z. 293, No. 3--4, 957--987 (2019; Zbl 1426.35007) Full Text: DOI arXiv
Pauly, Dirk A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized \(A_0^*\)-\(A_1\)-lemma in Hilbert spaces. (English) Zbl 1428.35029 Analysis, München 39, No. 2, 33-58 (2019). MSC: 35B27 35Q61 47B07 46B50 PDFBibTeX XMLCite \textit{D. Pauly}, Analysis, München 39, No. 2, 33--58 (2019; Zbl 1428.35029) Full Text: DOI arXiv
Pauly, Dirk On the Maxwell constants in 3D. (English) Zbl 1357.35012 Math. Methods Appl. Sci. 40, No. 2, 435-447 (2017). MSC: 35A23 35Q61 35E10 35F15 35R45 46E40 53A45 PDFBibTeX XMLCite \textit{D. Pauly}, Math. Methods Appl. Sci. 40, No. 2, 435--447 (2017; Zbl 1357.35012) Full Text: DOI arXiv
Bauer, Sebastian; Pauly, Dirk On Korn’s first inequality for tangential or normal boundary conditions with explicit constants. (English) Zbl 1357.35008 Math. Methods Appl. Sci. 39, No. 18, 5695-5704 (2016). MSC: 35A23 35Q20 78A25 PDFBibTeX XMLCite \textit{S. Bauer} and \textit{D. Pauly}, Math. Methods Appl. Sci. 39, No. 18, 5695--5704 (2016; Zbl 1357.35008) Full Text: DOI arXiv
Bauer, Sebastian; Pauly, Dirk On Korn’s first inequality for mixed tangential and normal boundary conditions on bounded Lipschitz domains in \(\mathbb R^N\). (English) Zbl 1364.46028 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 62, No. 2, 173-188 (2016). MSC: 46E35 PDFBibTeX XMLCite \textit{S. Bauer} and \textit{D. Pauly}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 62, No. 2, 173--188 (2016; Zbl 1364.46028) Full Text: DOI arXiv