Citations (35)
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Dirk Pauly & Walter Zulehner. (2020) The divDiv-complex and applications to biharmonic equations. Applicable Analysis 99:9, pages 1579-1630.
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F. Jochmann. (2000) Energy decay of solutions of maxwell's equations in bounded domains. Applicable Analysis 75:1-2, pages 199-212.
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F. Jochmann. (1998) The semistatic limit for maxwell's equations in an exterior doimain. Communications in Partial Differential Equations 23:11-12, pages 2035-2076.
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F. Jochmann. (1997) A singular limit in the drift diffusion model for semiconductors coupled with maxwell's equations. Applicable Analysis 67:1-2, pages 121-136.
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Articles from other publishers (31)
Simon Lemaire & Silvano Pitassi. (2024) Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology. Foundations of Computational Mathematics.
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Philipp Bringmann, Jonas W. Ketteler & Mira Schedensack. (2024) Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor Fields. Foundations of Computational Mathematics.
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Dirk Pauly & Nathanael Skrepek. (2022) A compactness result for the div-curl system with inhomogeneous mixed boundary conditions for bounded Lipschitz domains and some applications. ANNALI DELL'UNIVERSITA' DI FERRARA 69:2, pages 505-519.
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Dirk Pauly & Michael Schomburg. (2022) Hilbert complexes with mixed boundary conditions—Part 2: Elasticity complex. Mathematical Methods in the Applied Sciences 45:16, pages 8971-9005.
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Dirk Pauly & Michael Schomburg. (2022) Hilbert complexes with mixed boundary conditions part 1: de Rham complex. Mathematical Methods in the Applied Sciences 45:5, pages 2465-2507.
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Evan Gawlik, Michael J. Holst & Martin W. Licht. (2021) Local finite element approximation of Sobolev differential forms. ESAIM: Mathematical Modelling and Numerical Analysis 55:5, pages 2075-2099.
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Zengyun Qin. (2020) Asymptotic behavior of the Maxwell equations in cylinders becoming unbounded in one direction. Journal of Mathematical Analysis and Applications 492:1, pages 124437.
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Dirk Pauly & Jan Valdman. (2020) Poincaré–Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments. Computers & Mathematics with Applications 79:11, pages 3027-3067.
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Snorre H. Christiansen & Martin W. Licht. (2019) Poincaré–Friedrichs inequalities of complexes of discrete distributional differential forms. BIT Numerical Mathematics 60:2, pages 345-371.
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Frank Osterbrink & Dirk Pauly. (2020) Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions. SIAM Journal on Mathematical Analysis 52:5, pages 4971-5000.
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Dirk Pauly. 2020. Mathematics of Wave Phenomena. Mathematics of Wave Phenomena
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250
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Dirk Pauly. (2019) On the Maxwell and Friedrichs/Poincaré constants in ND. Mathematische Zeitschrift 293:3-4, pages 957-987.
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Dirk Pauly. (2019) 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. Analysis 39:2, pages 33-58.
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Dirk Pauly & Irwin Yousept. (2017)
A posteriori
error analysis for the optimal control of magneto-static fields
. ESAIM: Mathematical Modelling and Numerical Analysis 51:6, pages 2159-2191.
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Tahar Zamene Boulmezaoud, Keltoum Kaliche & Nabil Kerdid. (2016) Explicit div-curl inequalities in bounded and unbounded domains of $${{\mathbb {R}}}^3$$ R 3. ANNALI DELL'UNIVERSITA' DI FERRARA 63:2, pages 249-276.
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Dirk Pauly. (2014) On the Maxwell constants in 3D. Mathematical Methods in the Applied Sciences 40:2, pages 435-447.
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Immanuel Anjam & Dirk Pauly. (2016) Functional A Posteriori Error Control for Conforming Mixed Approximations
of Coercive Problems with Lower Order Terms. Computational Methods in Applied Mathematics 16:4, pages 609-631.
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Sebastian Bauer, Dirk Pauly & Michael Schomburg. (2016) The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions. SIAM Journal on Mathematical Analysis 48:4, pages 2912-2943.
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Patrizio Neff, Dirk Pauly & Karl-Josef Witsch. (2015) Poincaré meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields. Journal of Differential Equations 258:4, pages 1267-1302.
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Dirk Pauly. (2014) On Maxwell's and Poincaré's constants. Discrete and Continuous Dynamical Systems - Series S 8:3, pages 607-618.
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Pierre-Étienne Druet. (2014) Higher $L^p$ regularity for vector fields that satisfy divergence and rotation constraints in dual Sobolev spaces, and application to some low-frequency Maxwell equations. Discrete and Continuous Dynamical Systems - Series S 8:3, pages 475-496.
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Patrizio Neff, Dirk Pauly & Karl-Josef Witsch. 2014. Modeling, Simulation and Optimization for Science and Technology. Modeling, Simulation and Optimization for Science and Technology
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159
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Frank Jochmann. (2009) On a first-order hyperbolic system including Bean's model for superconductors with displacement current. Journal of Differential Equations 246:6, pages 2151-2191.
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Frank Jochmann. (2007) Decay of the electromagnetic field in a Maxwell Bloch system. Quarterly of Applied Mathematics 65:1, pages 99-112.
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Frank Jochmann. (2004) Energy decay of solutions to Maxwell's equations with conductivity and polarization. Journal of Differential Equations 203:2, pages 232-254.
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F. Jochmann. (2003) Exponential decay of solutions of Maxwell's equations coupled with a first-order ordinary differential equation for the polarization. Journal of Mathematical Analysis and Applications 288:2, pages 411-423.
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ANA ALONSO RODRÍGUEZ & MIRCO RAFFETTO. (2011) UNIQUE SOLVABILITY FOR ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF PARTLY LOSSY INHOMOGENEOUS ANISOTROPIC MEDIA AND MIXED BOUNDARY CONDITIONS. Mathematical Models and Methods in Applied Sciences 13:04, pages 597-611.
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R. Hiptmair & K. Neymeyr. (2002) Multilevel Method for Mixed Eigenproblems. SIAM Journal on Scientific Computing 23:6, pages 2141-2164.
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Frank Jochmann. (2000) Long Time Asymptotics of Solutions to the Anharmonic Oscillator Model from Nonlinear Optics. SIAM Journal on Mathematical Analysis 32:4, pages 887-915.
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Frank Jochmann. (2000) Asymptotic Behaviour of Solutions to a Class of Semilinear Hyperbolic Systems in Arbitrary Domains. Journal of Differential Equations 160:2, pages 439-466.
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Frank Jochmann. (1999) Regularity of weak solutions of Maxwell's equations with mixed boundary-conditions. Mathematical Methods in the Applied Sciences 22:14, pages 1255-1274.
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