A nonreflecting plane boundary for wave propagation problems

Smith, Warwick D.

doi:10.1016/0021-9991(74)90075-8

Cited by 268 publications

(103 citation statements)

References 2 publications

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“…Suzuki and Hakuno (1984) extended Cundall's method (Cundall et al, 1978) to the 3-dimensional problems by FEM. This method, which is similar to Smith's method (Smith, 1974(Smith, , 1975, solves the problem by superposing two reflected waves from Dirichlet and Neumann boundaries. This method is theoretically complete, while Smith's method is not.…”

Section: Interior Methodsmentioning

confidence: 99%

Modeling Seismic Wave Propagation in Complex Media.

Takenaka

1995

J,Phys,Earth

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We review the studies on modeling seismic wave propagation in complex media, which were carried out during the past 10 years by researchers at Japanese institutions. Special emphasis is placed on those works which are perceived as important but had little exposure outside Japan. We can say that the fundamental development of method for seismogram synthesis in the (3, 1) dimension was completed, where the first and second numbers in parentheses are the space dimensions of the wavefield and the heterogeneity of the medium. However, seismologists have been eager to model seismic propagation in the (2, 2), (3, 2), and (3, 3) dimensions during the last 10 years. Modeling seismic wave propagation in a full (3, 3) dimension is now limited to simple small-scale problems because of the extensive computation and large memory, even when using a supercomputer. Nevertheless, in laterally and vertically heterogeneous media, we have to calculate 3-dimensional wavefields in order to analyze real seismic records quantitatively. There exist two potential breakthroughs. One is to assume the medium is axisymmetric and the other to model (3, 2) dimensional wave propagation (the so-called 2.5 dimensional problem). Numerical methods have the potential to simulate seismic wave propagation in realistic environments of substantial spatio-temporal extent. Since we are not used to processing such an abundance of information, we have to investigate methods for analyzing and interpreting large volumes of computational data. These studies may well challenge our conception of seismic wave propagation.

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Section: Interior Methodsmentioning

confidence: 99%

Modeling Seismic Wave Propagation in Complex Media.

Takenaka

1995

J,Phys,Earth

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“…The wave propagation problem that takes place in a half-space cannot be simulated perfectly by the finite element method due to the restriction imposed by the model length and the finite elements size [28]. In particular, the model must be large enough in order to reduce any reflected waves at its boundaries [29] and the finite elements size must be as small as possible in order to accurately describe a wavelength.…”

Section: Problem and Model Descriptionmentioning

confidence: 99%

Impedance Functions of Adjacent Strip Foundations

Terzi¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. The interaction between two adjacent strip footings resting on an elastic isotropic half-space is studied. The finite element method is used in order to investigate the response of the footings under vertical, lateral and rocking loading. The accuracy of the finite element model is verified by a comparison study with the rigorous results from the boundary element method concerning a single strip footing. Impedance functions are presented over a wide range of frequencies for typical values of the distance ratio S/L, where S is the distance between the footings and L is the width of each footing.The condition under which the interaction between adjacent strip footings should be taken into consideration is further discussed.

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“…A perfect absorber or non-reflecting boundary, therefore, is particularly desirable. Smith [91] proposes an approach to eliminate the reflection without approximations. With this approach, the simulations are done at least twice with different boundary conditions, and the results are summed to cancel the reflec tions as described in Section 5.3.…”

Section: Review Of the Models For Infinite Mediamentioning

confidence: 99%

“…Reflections can be completely eliminated by the superposition of solutions from the different boundary conditions [91]. This section is devoted to both analytical and numerical verification of this phenomenon and the application to NDT geometries.…”

Section: Non-reflecting Boundarymentioning

confidence: 99%

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Finite element study of ultrasonic imaging

1996

NDT & E International

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A nonreflecting plane boundary for wave propagation problems

Cited by 268 publications

References 2 publications

Modeling Seismic Wave Propagation in Complex Media.

Modeling Seismic Wave Propagation in Complex Media.

Impedance Functions of Adjacent Strip Foundations

Finite element study of ultrasonic imaging

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