A Frequency{domain Method for Finite Element Solutions of Parabolic Problems
نویسندگان
چکیده
We introduce and analyze a frequency-domain method for par-abolic partial diierential equations. The method is naturally parallelizable. After taking the Fourier transformation of given sources in the space-time domain into the space-frequency domain, we propose to solve an indeenite, complex elliptic problem for each frequency. Fourier inversion will then recover the solution in the space-time domain. Existence and uniqueness as well as error estimates are given. Fourier invertibility is also examined. Numerical experiments are presented.
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