Accelerating the discontinuous Galerkin method for seismic wave propagation simulations using the graphic processing unit (GPU)—single-GPU implementation

Mu, Dawei; Chen, Po; Wang, Liqiang

doi:10.1016/j.cageo.2012.07.017

Cited by 20 publications

(12 citation statements)

References 25 publications

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“…The techniques for seismic tomography have been rapidly evolving in the past decade, partly driven by rapid advances in computing technology (e.g., Graves, 1996;Komatitsch and Tromp, 2002;Käser and Dumbser, 2006;Cui et al, 2010;Komatitsch et al, 2010;Mu et al, 2013). The latest seismic tomography technique is full-3D seismic waveform tomography (F3DT), which uses fully numerical solutions of the 3D (visco) elastic wave equation to construct Fréchet kernels and is able to iteratively update the 3D velocity model by minimizing waveform misfits (e.g., Chen, 2011;Fichtner, 2011;Liu and Gu, 2012;Chen and Lee, 2015).…”

Section: Introductionmentioning

confidence: 99%

Improved Basin Structures in Southern California Obtained Through Full‐3D Seismic Waveform Tomography (F3DT)

Lee

Chen

2016

Seismological Research Letters

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A realistic 3D seismic velocity model plays an important role in wave-propagation simulations for estimating ground motions from damaging earthquakes. In addition, the 3D velocity variations associated with sedimentary basins are particularly important. Recent updates on the Community Velocity Model (CVM) for southern California made through crustal-scale full-3D seismic waveform tomography (F3DT) have improved the basin structures substantially. The basin structures in the updated 3D velocity model CVM-S4.26 exhibit high correlation with surface geology, independent gravity measurements, and 2D controlled source tomography profiles. The improvements in basin structures are reflected in the much-improved fits between synthetic and observed waveforms that are sensitive to basin structures. Seismic-hazard analysis based on either empirical approaches or numerical simulations can potentially benefit from the improvements in basin structures in CVM-S4.26.

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Section: Introductionmentioning

confidence: 99%

Improved Basin Structures in Southern California Obtained Through Full‐3D Seismic Waveform Tomography (F3DT)

Lee

Chen

2016

Seismological Research Letters

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“…The numerical methods (mathematic area) have eternal value and may exist along with the existence of human culture [19][20][21]. The implementations (computer area) are closer to the human society and the real applications but vary quickly along with the computer architecture [22][23][24][25][26][27][28]. The computational cost of the numerical solutions for fractional equations is much heavier than that for the traditional integer order equations.…”

Section: Introductionmentioning

confidence: 99%

Computational Challenge of Fractional Differential Equations and the Potential Solutions: A Survey

Gong

Bao

Tang

et al. 2015

Mathematical Problems in Engineering

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We present a survey of fractional differential equations and in particular of the computational cost for their numerical solutions from the view of computer science. The computational complexities of time fractional, space fractional, and space-time fractional equations areO(N2M),O(NM2), andO(NM(M+N)) compared withO(MN) for the classical partial differential equations with finite difference methods, whereM,Nare the number of space grid points and time steps. The potential solutions for this challenge include, but are not limited to, parallel computing, memory access optimization (fractional precomputing operator), short memory principle, fast Fourier transform (FFT) based solutions, alternating direction implicit method, multigrid method, and preconditioner technology. The relationships of these solutions for both space fractional derivative and time fractional derivative are discussed. The authors pointed out that the technologies of parallel computing should be regarded as a basic method to overcome this challenge, and some attention should be paid to the fractional killer applications, high performance iteration methods, high order schemes, and Monte Carlo methods. Since the computation of fractional equations with high dimension and variable order is even heavier, the researchers from the area of mathematics and computer science have opportunity to invent cornerstones in the area of fractional calculus.

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“…The weak element-to-element coupling and the dense algebraic operations required per element make them suitable schemes for parallel multi-threading computations, especially with graphics processing units (GPU) (Klöckner et al, 2009;Mu et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Accelerated Discontinuous Galerkin Time-domain Simulations for Seismic Wave Propagation

et al. 2015

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SUMMARYImproving both the accuracy and computational performance of simulation tools is a major challenge for seismic imaging, and generally requires specialized algorithms and computational implementations to make full use of modern hardware architectures. We present a computational strategy based on a highorder discontinuous Galerkin time-domain method. Our implementation can be run on several architectures thanks to a unified multi-threading programming framework, and exhibits a good load balancing and minimum data movements. A first benchmark validates this implementation and confirms the interest of accelerators in computational geophysics.

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Accelerating the discontinuous Galerkin method for seismic wave propagation simulations using the graphic processing unit (GPU)—single-GPU implementation

Cited by 20 publications

References 25 publications

Improved Basin Structures in Southern California Obtained Through Full‐3D Seismic Waveform Tomography (F3DT)

Improved Basin Structures in Southern California Obtained Through Full‐3D Seismic Waveform Tomography (F3DT)

Computational Challenge of Fractional Differential Equations and the Potential Solutions: A Survey

Accelerated Discontinuous Galerkin Time-domain Simulations for Seismic Wave Propagation

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