High-order schemes for acoustic waveform simulation

Kim, Seongjai; Lim, Hyun Jung

doi:10.1016/j.apnum.2006.05.003

Cited by 58 publications

(28 citation statements)

References 12 publications

(20 reference statements)

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“…Newmark methods are used as a discretization in time for the wave equation for instance when the spatial discretization is performed using finite difference method in Ref. [13], the variational methods in Ref. [6], spectral methods in Ref.…”

Section: Motivation and Description Of The Main Resultsmentioning

confidence: 99%

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Comparative expression analysis of the murine palladin isoforms

Wang

Moser

2008

Developmental Dynamics

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Palladin fulfils a crucial function as a molecular scaffold in organizing and stabilizing the actin cytoskeleton. At least four major palladin isoforms exist due to different promoter usage and alternative splicing: a 200-kDa isoform, a 140-kDa isoform, and two isoforms with a size of 90 -92 kDa. Here, we describe their expression during mouse development and in adult tissues. The 200-kDa isoform is predominantly expressed in developing heart and skeletal muscle. The 140-kDa isoform is expressed in various mesenchymal tissues, and also represents the major isoform of the brain. The 90 -92-kDa isoforms are almost ubiquitously expressed with the highest levels in smooth muscle-rich tissues. Immunohistochemical and immunofluorecence staining with an anti-200-kDa isoform-specific antiserum localizes the large isoform to the Z-discs of cardiac and skeletal muscle cells. Interestingly, the expression of this isoform is initiated and increasing during in vitro differentiation and fusion of C2C12 myoblasts, suggesting that the 200-kDa palladin isoform may play a scaffolding role during sarcomeric organization. Developmental Dynamics 237: 3342-3351, 2008.

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Section: Motivation and Description Of The Main Resultsmentioning

confidence: 99%

“…The same one‐parameter scheme (29) has been considered in Refs. [13] and [14] in the framework of finite element methods and finite difference methods in space, respectively.…”

Section: Formulation Of a Family Of Finite Volume Schemes And Statmentioning

confidence: 99%

Comparative expression analysis of the murine palladin isoforms

Wang

Moser

2008

Developmental Dynamics

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“…The implicit scheme is usually unconditionally stable but a linear or nonlinear algebraic system needs to be solved at each time step, which makes it less efficient. A detailed comparison can be found in [6,7]. In this paper, we apply the central finite difference scheme to the second-order time derivative, and obtain the following formula: (10) which is second-order accurate in time and fourth-order accurate in space.…”

Section: Finite Difference Methods For the Wave Equationmentioning

confidence: 99%

An Accurate and Efficient Algorithm for Parameter Estimation of 2D Acoustic Wave Equation

Liao¹

2011

IJAPM

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Abstract-An efficient and accurate numerical method has been proposed in this paper to estimate the acoustic coefficient in a 2D acoustic wave equation. The inverse problem is formulated as a PDE-constrained optimization problem, in which the forward problem is numerically solved by both efficient finite difference schemes. To generate the gradient of the quadratic misfit function with respect to the unknown coefficient, the widely used automatic differentiation tool TAMC is used. Finally a gradient-based optimization algorithm is applied to minimize the misfit function. Numerical results are presented to show that the proposed method is effective and robust in estimating the acoustic coefficient.

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“…Kim and Lim (2007) developed a LOD method for hyperbolic equations and proved unconditional stability in a simple setting (see also, Geiser (2008)). In this note we extend the LOD method so that it works in the presence of a perfectly matched layer (PML), report on some computational benchmarks, and discuss its relevance in the context of full waveform inversion.…”

Section: Introductionmentioning

confidence: 99%

Time-stepping beyond CFL: A locally one-dimensional scheme for acoustic wave propagation

Nunez

Hewett

Demanet

et al. 2013

SEG Technical Program Expanded Abstracts 2013

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SUMMARYIn this abstract, we present a case study in the application of a time-stepping method, unconstrained by the CFL condition, for computational acoustic wave propagation in the context of full waveform inversion. The numerical scheme is a locally one-dimensional (LOD) variant of alternating dimension implicit (ADI) method. The LOD method has a maximum time step that is restricted only by the Nyquist sampling rate. The advantage over traditional explicit time-stepping methods occurs in the presence of high contrast media, low frequencies, and steep, narrow perfectly matched layers (PML). The main technical point of the note, from a numerical analysis perspective, is that the LOD scheme is adapted to the presence of a PML. A complexity study is presented and an application to full waveform inversion is shown.

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High-order schemes for acoustic waveform simulation

Cited by 58 publications

References 12 publications

Comparative expression analysis of the murine palladin isoforms

Comparative expression analysis of the murine palladin isoforms

An Accurate and Efficient Algorithm for Parameter Estimation of 2D Acoustic Wave Equation

Time-stepping beyond CFL: A locally one-dimensional scheme for acoustic wave propagation

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