Zobrazeno 1 - 10
of 84
pro vyhledávání: '"ANGERMANN, LUTZ"'
Autor:
Angermann, Lutz
A finite element method for approximating the solution of a mathematical model for the response of a penetrable, bounded object (obstacle) to the excitation by an external electromagnetic field is presented and investigated. The model consists of a n
Externí odkaz:
http://arxiv.org/abs/2307.09103
Autor:
Anees, Asad, Angermann, Lutz
In this paper, a time-domain discontinuous Galerkin (TDdG) finite element method for the full system of Maxwell's equations in optics and photonics is investigated, including a complete proof of a semi-discrete error estimate. The new capabilities of
Externí odkaz:
http://arxiv.org/abs/2306.12975
A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity
Autor:
Angermann, Lutz
The present work describes some extensions of an approach, originally developed by V.V. Yatsyk and the author, for the theoretical and numerical analysis of scattering and radiation effects on infinite plates with cubically polarized layers. The new
Externí odkaz:
http://arxiv.org/abs/2301.11789
The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and boundary conditions of mixed type. Since neither conformity nor consist
Externí odkaz:
http://arxiv.org/abs/2301.06860
Autor:
Angermann, Lutz
In this paper the semi-discrete finite element approximation of initial boundary value problems for Maxwell's equations in nonliear media of Kerr-type is investigated. For the case of N\'ed\'elec elements from the first family, a priori error estimat
Externí odkaz:
http://arxiv.org/abs/1901.03605
Publikováno v:
Numerical Methods for Partial Differential Equations; Nov2024, Vol. 40 Issue 6, p1-28, 28p
Autor:
Angermann, Lutz
This article describes the extension of recent methods for a posteriori error estimation such as dual-weighted residual methods to node-centered finite volume discretizations of second order elliptic boundary value problems including upwind discretiz
Externí odkaz:
http://arxiv.org/abs/1205.1980
Autor:
Angermann, Lutz, Henke, Christian
Publikováno v:
Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 425-450
The paper presents results on piecewise polynomial approximations of tensor product type in Sobolev-Slobodecki spaces by various interpolation and projection techniques, on error estimates for quadrature rules and projection operators based on hierar
Externí odkaz:
http://arxiv.org/abs/1102.3100
Autor:
Angermann, Lutz, Henke, Christian
Publikováno v:
IMA Journal of Numerical Analysis, Volume 34, Issue 4, October 2014, pp. 1598-1624
We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estimate is given for the case of several space dimensio
Externí odkaz:
http://arxiv.org/abs/1011.2750