Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Sascha Schnepp"'
Publikováno v:
SIAM Journal on Control and Optimization. 54:2490-2525
This note is concerned with an optimal control problem governed by the relativistic Maxwell--Newton--Lorentz equations, which describe the motion of charged particles in electro-magnetic fields and consists of a hyperbolic PDE system coupled with a n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cb8b7399d6c32e75877f1351b25420b
https://doi.org/10.1137/14100083x
https://doi.org/10.1137/14100083x
Publikováno v:
IMA Journal of Numerical Analysis. 36:1599-1635
We present and analyse a space-time discontinuous Galerkin method for wave propagation problems. The special feature of the scheme is that it is a Trefftz method, namely that trial and test functions are solution of the partial differential equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9e9234637f6b3ce3567833535e83dde
https://doi.org/10.1093/imanum/drv064
https://doi.org/10.1093/imanum/drv064
Autor:
Sascha Schnepp
Publikováno v:
Construction computing, 95 (1)
Construction computing, 95 (1)
ISSN:0264-6854
ISSN:0264-6854
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78d30cc4c933cdcc6177e2a6bc2fa1d4
http://doc.rero.ch/record/313305/files/607_2012_Article_255.pdf
http://doc.rero.ch/record/313305/files/607_2012_Article_255.pdf
Publikováno v:
Applied Mathematics and Computation. 267:42-55
The modeling and simulation of electromagnetic wave propagation is often accompanied by a restriction to bounded domains which requires the introduction of artificial boundaries. The corresponding boundary conditions should be chosen in order to mini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::465cd40eec85a3743534a74c7fd081ac
https://doi.org/10.1016/j.amc.2015.06.026
https://doi.org/10.1016/j.amc.2015.06.026
Publikováno v:
SIAM Journal on Scientific Computing. 37:B689-B711
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e54af2aba2f91f6caa53f58859b1ea97
https://doi.org/10.1137/140999323
https://doi.org/10.1137/140999323
Autor:
Sascha Schnepp
Publikováno v:
Journal of Computational and Applied Mathematics. 270:353-368
An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave propagation phenomena in the time domain is proposed. The method is highly efficient and allows for the first time the adaptive full-wave simulation of large, time-dependent proble
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fb18e06895ec4f1d9b09505d420b520
https://doi.org/10.1016/j.cam.2013.12.038
https://doi.org/10.1016/j.cam.2013.12.038
Non-dissipative space–time hp-discontinuous Galerkin method for the time-dependent Maxwell equations
Publikováno v:
Journal of Computational Physics. 275:589-607
A finite element method for the solution of the time-dependent Maxwell equations in mixed form is presented. The method allows for local $hp$-refinement in space and in time. To this end, a space-time Galerkin approach is employed. In contrast to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f50e3e9012693d4d8732d8836068f18
https://doi.org/10.1016/j.jcp.2014.07.015
https://doi.org/10.1016/j.jcp.2014.07.015
Publikováno v:
Quantum Matter. 3:344-354
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::251a15ddff400f84f4d8f70d3d92b71f
https://doi.org/10.1166/qm.2014.1133
https://doi.org/10.1166/qm.2014.1133
Publikováno v:
Journal of Computational Physics. 229:4075-4096
A hybridized scheme for the numerical solution of transient electromagnetic field problems is presented. The scheme combines the Finite Integration Technique (FIT) and the Finite Volume Method (FVM) in order to profit from the computational efficienc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4360c21ae5313ba5c18ae7302c8fe617
https://doi.org/10.1016/j.jcp.2010.01.041
https://doi.org/10.1016/j.jcp.2010.01.041
Autor:
Fritz Kretzschmar, Sascha Schnepp, Vadim A. Markel, Nabil Nowak, Igor Tsukerman, Herbert Egger, Farzad Ahmadi
Publikováno v:
Finite Difference Methods,Theory and Applications ISBN: 9783319202389
FDM
FDM
In problems of mathematical physics, Trefftz approximations by definition involve functions that satisfy the differential equation of the problem. The power and versatility of such approximations is illustrated with an overview of a number of applica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d09e870e49228d80405da03046bc480
https://doi.org/10.1007/978-3-319-20239-6_5
https://doi.org/10.1007/978-3-319-20239-6_5