Based on strong and weak forms of elastic wave equations, a Chebyshev spectral element method （SEM） using the Galerkin variational principle is developed by discretizing the wave equation in the spatial and time dom...Based on strong and weak forms of elastic wave equations, a Chebyshev spectral element method （SEM） using the Galerkin variational principle is developed by discretizing the wave equation in the spatial and time domains and introducing the preconditioned conjugate gradient （PCG）-element by element （EBE） method in the spatial domain and the staggered predictor/corrector method in the time domain. The accuracy of our proposed method is verified by comparing it with a finite-difference method （FDM） for a homogeneous solid medium and a double layered solid medium with an inclined interface. The modeling results using the two methods are in good agreement with each other. Meanwhile, to show the algorithm capability, the suggested method is used to simulate the wave propagation in a layered medium with a topographic traction free surface. By introducing the EBE algorithm with an optimized tensor product technique, the proposed SEM is especially suitable for numerical simulation of wave propagations in complex models with irregularly free surfaces at a fast convergence rate, while keeping the advantage of the finite element method.展开更多
以两组棉制品为研究对象,利用遗传算法提取有效近红外光谱信息,采用偏最小二乘法(partial least squares,简称PLS)建立了棉制品中含棉量的近红外定量的校正模型,讨论了遗传算法提取有用信息的具体应用方法.结果表明:棉制样品的近红外光...以两组棉制品为研究对象,利用遗传算法提取有效近红外光谱信息,采用偏最小二乘法(partial least squares,简称PLS)建立了棉制品中含棉量的近红外定量的校正模型,讨论了遗传算法提取有用信息的具体应用方法.结果表明:棉制样品的近红外光谱经过遗传算法提取有用信息(波长优选)后,通过一定数据预处理方法,运用PLS建立的定量校正模型,可以大大降低数据运算量,为近红外光谱分析技术应用于棉制品中含棉量的预测,提供了理论依据和实用方法.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.40774099,10874202)the National High Technology Research and Development Program of China(Grant No.2008AA06Z205)
文摘Based on strong and weak forms of elastic wave equations, a Chebyshev spectral element method （SEM） using the Galerkin variational principle is developed by discretizing the wave equation in the spatial and time domains and introducing the preconditioned conjugate gradient （PCG）-element by element （EBE） method in the spatial domain and the staggered predictor/corrector method in the time domain. The accuracy of our proposed method is verified by comparing it with a finite-difference method （FDM） for a homogeneous solid medium and a double layered solid medium with an inclined interface. The modeling results using the two methods are in good agreement with each other. Meanwhile, to show the algorithm capability, the suggested method is used to simulate the wave propagation in a layered medium with a topographic traction free surface. By introducing the EBE algorithm with an optimized tensor product technique, the proposed SEM is especially suitable for numerical simulation of wave propagations in complex models with irregularly free surfaces at a fast convergence rate, while keeping the advantage of the finite element method.
文摘以两组棉制品为研究对象,利用遗传算法提取有效近红外光谱信息,采用偏最小二乘法(partial least squares,简称PLS)建立了棉制品中含棉量的近红外定量的校正模型,讨论了遗传算法提取有用信息的具体应用方法.结果表明:棉制样品的近红外光谱经过遗传算法提取有用信息(波长优选)后,通过一定数据预处理方法,运用PLS建立的定量校正模型,可以大大降低数据运算量,为近红外光谱分析技术应用于棉制品中含棉量的预测,提供了理论依据和实用方法.
