The simulation of wave propagation has important applications in many problems such as in computational seismology. Here, we focus on boundary absorbing computations in wave simulation with the finite element method o...
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The simulation of wave propagation has important applications in many problems such as in computational seismology. Here, we focus on boundary absorbing computations in wave simulation with the finite element method on triangular mesh. The first-order and second-order absorbing boundary conditions based on wave decomposition are presented. Moreover, the absorbing conditions for corners are proposed. The weak formulations combined with absorbing conditions are derived. Numerical computations for a complex model show that boundary reflections are eliminated and the computational efficiency is high by using the mass-lumping technique.
Waveform inversion of crosshole data based on acoustic wave equation is investigated in this paper. The inversion is set as an optimization problem with the Lagrange multiplier function. The Tikhonov regularization is...
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Waveform inversion of crosshole data based on acoustic wave equation is investigated in this paper. The inversion is set as an optimization problem with the Lagrange multiplier function. The Tikhonov regularization is adopted in objective function. The gradient of the objective function is generated by solving the adjoint equation of the forward problem with the finite difference method. In order to prevent the quasi-Newton method to trap in local optimal value, a suitable initial model is required. For comparison, the traveltime inversion or tomography is implemented which provide smooth features of the velocity model. Numerical computations are given which show the good ability of the new velocity inversion method.
In this work, we propose an hN adaptive algorithm for optimal control problems whose space discretization is based on the spectral element method. We focus on a special class of problems described by quadratic cost fu...
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we present a new flexible alignment method to align two or more similar images, especially biological images. By minimizing an energy functional measuring the difference of the initial image and target image, an L...
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we present a new flexible alignment method to align two or more similar images, especially biological images. By minimizing an energy functional measuring the difference of the initial image and target image, an L2 -gradient flow is derived. The flow is integrated by a finite element method in the spatial direction and an explicit Euler scheme in the temporal direction. Multi-resolution representations are used for achieving efficient multi-scale alignment The experimental results on 2D images show that the proposed method is efficient, effective, robust and capable of capturing the variation of the initial and target images, from large to small scale.
作者:
L. YuanL. ZhangaLSEC
Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China bSchool of Science
China University of Mining and Technology (Beijing) Beijing 100083 China
We apply a Runge‐Kutta discontinuous Galerkin (RKDG) method to numerical solution of the reactive Euler equations. In order to keep conservation naturally, Taylor basis functions are utilized. We construct a new Tayl...
We apply a Runge‐Kutta discontinuous Galerkin (RKDG) method to numerical solution of the reactive Euler equations. In order to keep conservation naturally, Taylor basis functions are utilized. We construct a new Taylor basis function which has smaller numerical error than previous Taylor basis function when the TVD limiter is used. The program is written with MPI for parallel computation. Numerical results of two‐dimensional unstable detonation waves demonstrate that the resulting RKDG method performs well in resolving detonation wave structures. Load imbalance due to different stiffness in different subzones is discussed.
The Swift parallel scripting language allows for the specification, execution and analysis of large-scale computations in parallel and distributed environments. It incorporates a data model for recording and querying ...
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The understanding of biological processes, e.g. related to cardio-vascular disease and treatment, can significantly be improved by numerical simulation. In this paper, we present an approach for a multiscale simulatio...
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The half-life of the 2305-keV, Iπ=4(−) intruder state in 34P has been measured as t1/2=2.0(1) ns using γ-ray coincidence, fast-timing techniques with the Bucharest HPGe and LaBr3:Ce detector array. Excited states in...
The half-life of the 2305-keV, Iπ=4(−) intruder state in 34P has been measured as t1/2=2.0(1) ns using γ-ray coincidence, fast-timing techniques with the Bucharest HPGe and LaBr3:Ce detector array. Excited states in 34P were populated using the 18O(18O,pn)34P fusion-evaporation reaction at a beam energy of 36 MeV. Reduced transition probabilities have been calculated for different values of the M2/E3 mixing ratio, δE3/M2, and compared with shell-model estimates. For small values of the mixing ratio, the B(M2) value was found to be consistent with similar transitions associated with the occupation of neutron f7/2 configurations in this mass region.
This paper aims to verify numerical existence of boundary controls that steer the de St. Venant system in finite time, from a given unsteady subcritical state to another. The method of characteristics is used in obtai...
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ISBN:
(纸本)9789881925121
This paper aims to verify numerical existence of boundary controls that steer the de St. Venant system in finite time, from a given unsteady subcritical state to another. The method of characteristics is used in obtaining the numerical solution. The problem is divided into two parts: first, an unsteady subcritical flow is steered towards a steady one;then such flow is steered towards another unsteady subcritical state.
A high-numerical-accuracy multidomain Legendre pseudospectral time-domain (PSTD) method is utilized to study the three-dimensional problem of light scattering by coupled metallic nanospheres and associated plasmonic r...
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