An Exact, Well-Posed, One-Way Reformulation of the Helmholtz Equation with Application to Direct and Inverse Wave Propagation Modeling

FISHMAN L.

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An Exact, Well-Posed, One-Way Reformulation of the Helmholtz Equation with Application to Direct and Inverse Wave Propagation Modeling

机译：亥姆霍兹方程的精确，位置正确，单向重构及其在正向和反向波传播建模中的应用

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摘要

The elliptic (two-way) Helmholtz equation is exactly reformulated in terms of one-way wave equations in a manner which is well-posed for marching. This reformulation has application for large-scale, deterministic, direct propagation modeling and the corresponding layer-stripping inverse algorithms, in addition to providing a foundation for stochastic modeling calculations.

机译：椭圆形（双向）亥姆霍兹方程以单向波动方程的形式精确地进行了重构，并具有很好的行进性。除了为随机建模计算提供基础之外，这种重新定义还可用于大规模，确定性，直接传播建模以及相应的分层剥离逆算法。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|p.321-324|共4页
作者
FISHMAN L.;
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正文语种 eng
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1. AN EXACT, WELL-POSED, ONE-WAY REFORMULATION OF THE HELMHOLTZ EQUATION WITH APPLICATION TO DIRECT AND INVERSE WAVE PROPAGATION MODELING [J] . Fishman L. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

机译：赫尔姆霍兹方程的精确，正确定位的单向重构及其在直接和反向波传播建模中的应用
2. One-way wave propagation methods in direct and inverse scalar wave propagation modeling [J] . Louis Fishman Radio Science . 1993,第5期

机译：正反标量波传播建模中的单向波传播方法
3. Wave spectral modeling of multidirectional random waves in a harbor through combination of boundary integral of Helmholtz equation with Chebyshev point discretization [J] . Kumar Prashant, Zhang Huai, Kim Kwang Ik, Computers & Fluids . 2015,第Null期

机译：Helmholtz方程边界积分与Chebyshev点离散化相结合的多方向随机波波谱建模
4. Exact solutions for reflection and Dirichlet-to-Neumann operator symbols in direct and inverse wave propagation modeling [C] . Louis Fishman, Iowa State Univ., Ames, Inverse Optics III . 1994

机译：直接和反向波传播建模中反射和Dirichlet-to-Neumann算符的精确解
5. Convex formulations of inverse modeling problems on systems modeled by Hamilton-Jacobi equations: Applications to traffic flow engineering . [D] . Claudel, Christian G. 2010

机译：用Hamilton-Jacobi方程建模的系统上逆建模问题的凸公式：在交通流工程中的应用。
6. A Source Term Approach for Generation of One-way Acoustic Waves in the Euler and Navier-Stokes equations [O] . Kazuki Maeda, Tim Colonius -1

机译：在Euler和Navier-Stokes方程中生成单向声波的源项法
7. Inverse diffraction propagation applied to the parabolic wave equation model for geolocation applications [O] . Spencer Troy Allan 2006

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8. Iterative Methods for Solving the Exterior Dirichlet Problem for the Helmholtz Equation with Applications to the Inverse Scattering Problem for Low Frequency Acoustic Waves [R] . Colton, D., Kress, R. 1980

机译：求解Helmholtz方程外Dirichlet问题的迭代方法及其在低频声波反散射问题中的应用

An Exact, Well-Posed, One-Way Reformulation of the Helmholtz Equation with Application to Direct and Inverse Wave Propagation Modeling

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