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国家自然科学基金(10626026)

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FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR STOCHASTIC HELMHOLTZ EQUATION IN TWO-AND THREE-DIMENSIONS被引量:2
2008年
In this paper, we consider the finite element method and discontinuous Galerkin method for the stochastic Helmholtz equation in R^d (d = 2, 3). Convergence analysis and error estimates are presented for the numerical solutions. The effects of the noises on the accuracy of the approximations are illustrated. Numerical experiments are carried out to verify our theoretical results.
Yanzhao CaoRan ZhangKai Zhang
A Global Uniqueness Result in Inverse Acoustic Obstacle Scattering Problem
2007年
It is proved that a sound-soft scatterer in R^N (N = 2, 3) is uniquely determined by a finite number of acoustic far-field measurements. The admissible scatterer possibly consists of finitely many solid obstacles and subsets of (N - 1)- dimensional hyperplanes.
刘宏宇张凯张然
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