id: 05984354
dt: j
an: 05984354
au: Pauly, Dirk; Rossi, Tuomo
ti: Theoretical considerations on the computation of generalized time-periodic
    waves.
so: Adv. Math. Sci. Appl. 21, No. 1, 105-131 (2011).
py: 2011
pu: Gakkōtosho Co., Ltd., Tokyo
la: EN
cc: 
ut: Maxwell’s equations; differential forms; time-periodic waves;
    time-harmonic waves; conjugate gradient method; least-squares method
ci: 
li: 
ab: The time-dependent Maxwell equations generalized within an alternating
    differential form setting are considered. The setting allows for a
    unified treatment of acoustic, electro-magnetic and some problems from
    elasticity theory. After presenting the abstract solution theory, a
    least square approach is suggested to solve the time-periodic problem
    in the form of a controllability problem by searching initial data
    yielding periodic solutions. The least square problem is then
    approximated by utilizing a conjugate gradient algorithm. For the
    reader’s convenience a separate section is dedicated to the classical
    vector-analytical cases. An appendix provides first numerical test
    results to illustrate the approach.
rv: Rainer Picard (Dresden)