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Frequency domain treatment of one-dimensional scalar waves. (English) Zbl 0783.65070
The authors study the one-dimensional wave equation in its frequency domain formulation as an attenuation-free problem and as a problem including attenuation. They present a finite element (later a finite difference) procedure for approximating such waves and show that the frequency-domain approximation procedure leads to a computational algorithm that is appropriate on a parallel computer, where the natural parallelization carries over for problems in several variables. The paper includes numerical results.

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65Y05 Parallel numerical computation
35L05 Wave equation
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