TY - JOUR
T1 - Solving Vlasov-Maxwell equations in singular geometries
AU - Assous, Franck
AU - Ciarlet, Patrick
PY - 2008/12/15
Y1 - 2008/12/15
N2 - This paper is devoted to the solution of the time-dependent Vlasov-Maxwell equations in singular geometries, i.e. when the boundary includes reentrant corners or edges. Indeed, computing the electromagnetic fields in this case is a challenge per se, as these geometrical singularities generate very strong solutions in their neighborhood. Moreover, they have also an influence over the solution of the Vlasov equation, through the coupling. We propose here a method to solve this problem, illustrated by numerical examples.
AB - This paper is devoted to the solution of the time-dependent Vlasov-Maxwell equations in singular geometries, i.e. when the boundary includes reentrant corners or edges. Indeed, computing the electromagnetic fields in this case is a challenge per se, as these geometrical singularities generate very strong solutions in their neighborhood. Moreover, they have also an influence over the solution of the Vlasov equation, through the coupling. We propose here a method to solve this problem, illustrated by numerical examples.
KW - Computer simulation
KW - Maxwell equations
KW - Singularities
KW - Vlasov equation
UR - http://www.scopus.com/inward/record.url?scp=56849124977&partnerID=8YFLogxK
U2 - 10.1016/j.matcom.2007.09.015
DO - 10.1016/j.matcom.2007.09.015
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:56849124977
SN - 0378-4754
VL - 79
SP - 1078
EP - 1085
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
IS - 4
ER -