A Frequency-Domain Mete10d for Finite Element Solutions of Parabolic Problems

Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo

doi:10.4134/bkms.2002.39.4.589

Cited by 2 publications

(2 citation statements)

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“…) has been considered in [4,3,19,11,13,16,15,14,12], while Fourier-Laplace transformation has been applied in [20].…”

Section: S ) !mentioning

confidence: 99%

“…After these works, with the aid of several coworkers the author has been developing the theory and extending its applications to viscoelasticity, parabolic problems, and linearized Navier-Stokes equations. See [5,11,16,20,15,14,12,20]. This paper essentially surveys in brief such approaches for solving time-dependent linear initial-boundary value problems via Fourier-Laplace transformation.…”

Section: Introductionmentioning

confidence: 99%

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Parallel Methods for Solving Time-Dependent Problems Using the Fourier-Laplace Transformation

Sheen

Lecture Notes in Physics

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In this paper we summarize recent progresses on the parallel method for solving time-dependent problems using the Fourier-Laplace transformation. Instead of solving the time-dependent problems in the space-time domain, we solve them as follows. First take the Fourier-Laplace transformation of given problems originally set in the space-time domain, and consider the corresponding problems in the space-frequency domain which form a set of indefinite, complex-valued elliptic problems. Such problems are solved in a natural parallel manner since each problem is independent of others. The Fourier-Laplace inversion formula will then recover the solution in the space-time domain.

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“…) has been considered in [4,3,19,11,13,16,15,14,12], while Fourier-Laplace transformation has been applied in [20].…”

Section: S ) !mentioning

confidence: 99%