TY - JOUR
T1 - On the intersection of sets of incoming and outgoing waves
AU - Ditkowski, Adi
AU - Sever, Michael
PY - 2008/3
Y1 - 2008/3
N2 - In the neighborhood of a boundary point, the solution of a first-order symmetric homogenous hyperbolic system is conveniently decomposed into fundamental waves solutions that are readily classified as outgoing, incoming, and stationary, or tangential. Under a broad hypothesis, we s how that the spans of the sets of outgoing and incoming waves have nontrivial intersection. Under these conditions, local, linear, perfectly nonreflecting local boundary conditions are shown to be an impossibility.
AB - In the neighborhood of a boundary point, the solution of a first-order symmetric homogenous hyperbolic system is conveniently decomposed into fundamental waves solutions that are readily classified as outgoing, incoming, and stationary, or tangential. Under a broad hypothesis, we s how that the spans of the sets of outgoing and incoming waves have nontrivial intersection. Under these conditions, local, linear, perfectly nonreflecting local boundary conditions are shown to be an impossibility.
UR - http://www.scopus.com/inward/record.url?scp=46849103370&partnerID=8YFLogxK
U2 - 10.1090/S0033-569X-07-01080-3
DO - 10.1090/S0033-569X-07-01080-3
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:46849103370
SN - 0033-569X
VL - 66
SP - 1
EP - 26
JO - Quarterly of Applied Mathematics
JF - Quarterly of Applied Mathematics
IS - 1
ER -