TY - JOUR

T1 - Joly-Mercier boundary condition for the finite element solution of 3D Maxwell equations

AU - Assous, Franck

AU - Sonnendrücker, Eric

PY - 2010/4

Y1 - 2010/4

N2 - Solving the time-dependent Maxwell equations in an unbounded domain requires the introduction of artificial absorbing boundary conditions (ABCs) designed to minimize the amplitude of the parasitic waves reflected by the artificial frontier of the domain of computation. The construction of such ABCs needs to perform a rigorous mathematical and numerical analysis, in order to obtain a well-posed problem, from a mathematical point of view, and a stable algorithm, from a numerical point of view. In a previous study, Joly and Mercier (1989) [8] have proposed a new second-order ABC for Maxwell's equation in dimension 3, well adapted to a variational approach. In this paper, we present how to apply the second-order ABC proposed in [8] in the framework of a finite element method.

AB - Solving the time-dependent Maxwell equations in an unbounded domain requires the introduction of artificial absorbing boundary conditions (ABCs) designed to minimize the amplitude of the parasitic waves reflected by the artificial frontier of the domain of computation. The construction of such ABCs needs to perform a rigorous mathematical and numerical analysis, in order to obtain a well-posed problem, from a mathematical point of view, and a stable algorithm, from a numerical point of view. In a previous study, Joly and Mercier (1989) [8] have proposed a new second-order ABC for Maxwell's equation in dimension 3, well adapted to a variational approach. In this paper, we present how to apply the second-order ABC proposed in [8] in the framework of a finite element method.

KW - Absorbing boundary conditions

KW - Finite element methods

KW - Maxwell equations

KW - Stability analysis

UR - http://www.scopus.com/inward/record.url?scp=76449084102&partnerID=8YFLogxK

U2 - 10.1016/j.mcm.2009.08.027

DO - 10.1016/j.mcm.2009.08.027

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:76449084102

SN - 0895-7177

VL - 51

SP - 935

EP - 943

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 7-8

ER -