David Wörgötter

collaborators

3 papers

math.NA2026

Wavenumber-explicit $h p$ -FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media

Jens Markus Melenk, David WÃ¶rgÃ¶tter

We consider the time-harmonic Maxwell equations with impedance boundary conditions on a bounded Lipschitz domain $I^c ◯$ with analytic boundary $I^$ . We suppose that $I^c ◯$ consists of…

math.AP2026

Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions

Jens Markus Melenk, David WÃ¶rgÃ¶tter

We consider the time-harmonic Maxwell equations at a nonzero wavenumber $k \in C$ on a bounded and simply connected Lipschitz domain $I^c ◯$ with an analytic boundary $I^$ , on…

math.AP2025

Regularity of vector fields with piecewise regular curl and divergence

Jens Markus Melenk, David WÃ¶rgÃ¶tter

We consider a bounded Lipschitz domain $I^c ◯ \subseteq R^{3}$ with sufficiently smooth boundary and prove piecewise Sobolev regularity of vector fields that have piecewise regul…

Wavenumber-explicit hp-FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media

Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions

Regularity of vector fields with piecewise regular curl and divergence

Wavenumber-explicit $h p$ -FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media