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Anderson acceleration for geometry optimization and physics simulation

Yue Peng, Bailin Deng, Juyong Zhang, Fanyu Geng, Wenjie Qin, Ligang Liu
2018 ACM Transactions on Graphics  
We evaluate the performance of our technique on a variety of geometry optimization and physics simulation problems.  ...  In addition, we analyze the connection between Anderson acceleration and quasi-Newton methods, and show that the canonical choice of its mixing parameter is suitable for accelerating local-global solvers  ...  This work was supported by the National Key R&D Program of China (No. 2016YFC0800501), the National Natural Science Foundation of China (No. 61672481, No. 61672482 and No. 11626253), and the One Hundred  ... 
doi:10.1145/3197517.3201290 fatcat:qzffh7nnvvd3fkcl6eocy47pvm

Accelerating ADMM for Efficient Simulation and Optimization [article]

Juyong Zhang, Yue Peng, Wenqing Ouyang, Bailin Deng
2019 arXiv   pre-print
It has been applied to various computer graphics applications, including physical simulation, geometry processing, and image processing.  ...  of Anderson acceleration.  ...  This work was supported by National Natural Science Foundation of China (No. 61672481), and Youth Innovation Promotion Association CAS (No. 2018495).  ... 
arXiv:1909.00470v1 fatcat:llu4vly6bvfbfpswvdpzulkkqi

REVIEW: Fast Multipole Method-Applications to Particle Systems
研究展望: 高速多重極展開法-粒子法への応用を中心として

Junichiro MAKINO, Atsushi KAWAI
1999 Journal of Applied Mechanics  
We present basic algorithms as well as recent developments, such as Anderson's method of using Poisson's formula, the use of FFT, and other optimization techniques.  ...  We overview the Fast Multipole Method (FMM) and the Barnes-Hut tree method. These algorithms evaluate mutual gravitational interaction between N particles in O(N) or O(N log N) times, respectively.  ...  1 ) 1 Greengard L. and Rokhlin V.: A fast algorithm for particle simulations. Greengard L. and Rokhlin V.: Rapid evaluation of potential fields in three dimensions, In C. Anderson and C.  ... 
doi:10.2208/journalam.2.101 fatcat:rltfk5mr45fbvje4o7esn5z5oy

Steady-State Anderson Accelerated Coupling of Lattice Boltzmann and Navier–Stokes Solvers

Atanas Atanasov, Benjamin Uekermann, Carlos Pachajoa Mejía, Hans-Joachim Bungartz, Philipp Neumann
2016 Computation  
We present an Anderson acceleration-based approach to spatially couple three-dimensional Lattice Boltzmann and Navier-Stokes (LBNS) flow simulations.  ...  Designed for parallel Schwarz coupling, the Anderson acceleration allows for the simultaneous execution of both Lattice Boltzmann and Navier-Stokes solver.  ...  UK-C0020 made by King Abdullah University of Science and Technology (KAUST), and by the priority program "1648 Software for Exascale Computing" of the German Research Foundation (DFG).  ... 
doi:10.3390/computation4040038 fatcat:6jsun6psircllabdbqxkokptuu

Anderson Acceleration for Nonconvex ADMM Based on Douglas-Rachford Splitting [article]

Wenqing Ouyang and Yue Peng and Yuxin Yao and Juyong Zhang and Bailin Deng
2020 arXiv   pre-print
We analyze the convergence of the proposed acceleration method on nonconvex problems, and verify its effectiveness on a variety of computer graphics problems including geometry processing and physical  ...  By applying Anderson acceleration to such lower-dimensional fixed-point iteration, we obtain a more effective approach for accelerating ADMM.  ...  Acknowledgements The authors thank Andre Milzarek for proofreading the paper and providing valuable comments. The target model in Figure 4  ... 
arXiv:2006.14539v2 fatcat:wci4nih6ybfmpl3ko376iyuyqi

Automated Design using Neural Networks and Gradient Descent [article]

Oliver Hennigh
2017 arXiv   pre-print
We demonstrate this methods effectiveness by designing an optimized heat sink and both 2D and 3D airfoils that maximize the lift drag ratio under steady state flow conditions.  ...  Our approach works by training a neural network to mimic the fitness function of a design optimization task and then, using the differential nature of the neural network, perform gradient decent to maximize  ...  ACKNOWLEDGMENTS This work was made possible through the http://aigrant.org created by Nat Friedman and Daniel Gross. This work would not have be possible without this very generous support.  ... 
arXiv:1710.10352v1 fatcat:mfvzojr2k5ef5crwizwunxq6ve

An optimized correlation function estimator for galaxy surveys

M. Vargas-Magaña, J. E. Bautista, J.-Ch. Hamilton, N. G. Busca, É. Aubourg, A. Labatie, J.-M. Le Goff, S. Escoffier, M. Manera, C. K. McBride, D. P. Schneider, Ch. N. A. Willmer
2013 Astronomy and Astrophysics  
The optimal combination for a given geometry is determined by using lognormal mock catalogues.  ...  Using various sets of simulated data (lognormal, second-order LPT and N-Body), we obtain a 20-25 error bars on the two-point correlation function for the SDSS geometry and ΛCDM correlation function.  ...  We would like to thank the SDSS-III collaboration for such wonderful data. We thank N. Padmanabhan, and J.K. Parejko for making their kd-tree code available.  ... 
doi:10.1051/0004-6361/201220790 fatcat:dfjxq5hupre6pg4n562njdfw5a

Optimal design of a tunable thomson-scattering based gamma-ray source

D. J. Gibson, S. G. Anderson, S. M. Betts, F. V. Hartemann, I. Jovanovic, D. P. McNabb, M. J. Messerly, J .A. Pruet, M. Y. Shverdin, C. W. Siders, A. M. Tremaine, C. P. J. Barty
2007 2007 IEEE Particle Accelerator Conference (PAC)  
Presented here are the optimal design parameters for such an interaction, including factors such as the collision angle, focal spot size, optimal bunch charge, and laser energy.  ...  These parameters were chosen based on extensive modelling using PARMELA and in-house, wellbenchmarked scattering simulation codes.  ...  Here we study the optimal design of the interaction geometry for a Thomson-scattering source.  ... 
doi:10.1109/pac.2007.4441045 fatcat:vdn5ipxfjrc4ngtmzbjiuojo3i

Positron and positronium chemistry by quantum Monte Carlo. III. Ground state of [OH,Ps], [CH,Ps], and [NH2,Ps] complexes

Dario Bressanini, Massimo Mella, Gabriele Morosi
1998 Journal of Chemical Physics  
For these systems we have computed the ground state energy values using both variational Monte Carlo and fixed node diffusion Monte Carlo methods.  ...  Diffusion Monte Carlo results allow us to predict ͓OH,Ps͔ and ͓CH,Ps͔ systems to be stable against positron and Positronium ͑Ps͒ loss.  ...  The molecular geometries for the NH 2 and NH 2 Ϫ systems were obtained by MP2 optimization using a 6-31G** basis set.  ... 
doi:10.1063/1.477216 fatcat:eguzavvwanhnzlowjaeskw4l2q

Short-pulse, high-brightness X-ray production with the PLEIADES Thomson-scattering source

S.G. Anderson, C.P.J. Barty, S.M. Betts, W.J. Brown, J.K. Crane, R.R. Cross, D.N. Fittinghoff, D.J. Gibson, F.V. Hartemann, J. Kuba, G.P. LeSage, J.B. Rosenzweig (+3 others)
2004 Applied physics B  
Initial results are reported and compared to theoretical calculations.  ...  the achievement of a 10 µm spot size at the interaction and the production of 10 8 x-ray photons per pulse.  ...  Once optimization is complete, PLEIADES should achieve a peak x-ray brightness approaching 10 20 photons/s/0.1% bandwidth/mm 2 /mrad 2 . This work was performed under the auspices of the U.S.  ... 
doi:10.1007/s00340-004-1455-0 fatcat:q6mzw2rkirgizaabss7zlez52m

A Jacobi Diagonalization and Anderson Acceleration Algorithm For Variational Quantum Algorithm Parameter Optimization [article]

Robert M. Parrish, Joseph T. Iosue, Asier Ozaeta, Peter L. McMahon
2019 arXiv   pre-print
Here, we develop a hybrid quantum/classical optimization procedure inspired by the Jacobi diagonalization algorithm for classical eigendecomposition, and combined with Anderson acceleration.  ...  This Jacobi+Anderson method is numerically tested using a quantum circuit simulator (without noise) for a representative test case from the multistate, contracted variant of the variational quantum eigensolver  ...  (CC) equations, 57 coupled-perturbed response equations, and even as an alternative to quasi-Newton methods for the optimization of molecular geometries. 58 All Anderson/Pulay DIIS sequence acceleration  ... 
arXiv:1904.03206v1 fatcat:54vc54ztdvd3vch77enpjigqjy

Coupled multiphysics analysis of a 4-vane RFQ accelerator under high power operation [article]

Xiaowen Zhu, Claude Marchand, Olivier Piquet, Michel Desmons
2022 arXiv   pre-print
Here we describe an optimization approach to figure out a suitable cooling design for a 4-vane RFQ in steady state.  ...  Multiphysics analysis utilized with CST and ANSYS for a recently developed 176 MHz 4-vane RFQ is taken as an example.  ...  Chinese Physics C, 33(S2), 1. [4] Henderson, S., Abraham, W., Aleksandrov, A., Allen, C., Alonso, J., Anderson, D., ... & Lambiase, R. (2014). The spallation neutron source accelerator system design.  ... 
arXiv:2202.10902v2 fatcat:dwaovpyvsvhvdg532tijdljrgu

Collision-Aware Fast Simulation for Soft Robots by Optimization-Based Geometric Computing [article]

Guoxin Fang, Yingjun Tian, Andrew Weightman, Charlie C.L. Wang
2022 arXiv   pre-print
Both actuated deformation and collision response for soft robots are formulated as geometry-based objectives.  ...  Unlike the FEA-based physical simulation, the proposed pipeline performs a much lower computational cost.  ...  All authors are with the Department of Mechanical, Aerospace and Civil Engineering, The University of Manchester, United Kingdoms Guoxin Fang is also a PhD student at the Faculty of Industrial Design Engineering  ... 
arXiv:2203.02054v2 fatcat:xndyb44qwbc7ffqmmqfiwmoqs4

Predicted performance of an induction linac driven FEL amplifier designed for radar applications at 94 GHz

M. Caplan
1992 Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment  
Anderson, and T.J.  ...  This is expressed mathematically by: = AC space charge field = 41.tCpm/C0 ERF = RF electric field I0 = Beam current Computer Simulations were performed at various voltages and the power optimized as illustrated  ... 
doi:10.1016/0168-9002(92)91134-u fatcat:eifosmjsurapni4kmg2c2iagce

An Adaptive Weighted Differential Game Guidance Law

Ping ZHANG, Yangwang FANG, Fengming ZHANG, Bingsong XIAO, Shiguo HU, Shuning ZONG
2012 Chinese Journal of Aeronautics  
The superior homing performance of the new guidance law is verified by computer simulations.  ...  The weights vary according to the estimated error of the target's acceleration, the guidance law is generated by directly using the estimation of target's acceleration when the estimated error is small  ...  Adaptive Estimation of Target Acceleration Based on 'Current' Statistical Model 'Current' statistical model There is a physical relationship between the state variable (acceleration) and the mean value  ... 
doi:10.1016/s1000-9361(11)60440-8 fatcat:d3uyzun6r5aldbwikosqbp4ij4
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