Fast algorithm for computing nonlocal operators with finite interaction distance
暂无分享,去创建一个
[1] S. Silling,et al. Peridynamic States and Constitutive Modeling , 2007 .
[2] Ricardo H. Nochetto,et al. Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution , 2017, Math. Comput..
[3] Lexing Ying,et al. Fast Directional Multilevel Algorithms for Oscillatory Kernels , 2007, SIAM J. Sci. Comput..
[4] James Arvo,et al. Graphics Gems II , 1994 .
[5] D. Zorin,et al. A kernel-independent adaptive fast multipole algorithm in two and three dimensions , 2004 .
[6] Silvia Sastre Gómez,et al. Nonlocal diffusion problems , 2014 .
[7] F. Bobaru,et al. Studies of dynamic crack propagation and crack branching with peridynamics , 2010 .
[8] W. Hackbusch. A Sparse Matrix Arithmetic Based on $\Cal H$-Matrices. Part I: Introduction to ${\Cal H}$-Matrices , 1999, Computing.
[9] David John Littlewood,et al. Variable Horizon in a Peridynamic Medium , 2015 .
[10] Q. Du,et al. Nonlocal Wave Propagation in Unbounded Multi-Scale Media , 2018 .
[11] F. Bobaru,et al. Characteristics of dynamic brittle fracture captured with peridynamics , 2011 .
[12] R. Lehoucq,et al. Peridynamics for multiscale materials modeling , 2008 .
[13] Xiaochuan Tian. Nonlocal models with a finite range of nonlocal interactions , 2017 .
[14] Wolfgang Hackbusch,et al. A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices , 1999, Computing.
[15] Steffen Börm,et al. Data-sparse Approximation by Adaptive ℋ2-Matrices , 2002, Computing.
[16] Kun Zhou,et al. Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints , 2012, SIAM Rev..
[17] Hong Wang,et al. A fast collocation method for a variable-coefficient nonlocal diffusion model , 2017, J. Comput. Phys..
[18] J. Klafter,et al. The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .
[19] Zhen Li,et al. A Convergent Point Integral Method for Isotropic Elliptic Equations on a Point Cloud , 2015, Multiscale Model. Simul..
[20] P. Murdin. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY , 2005 .
[21] Paul C. Fife,et al. Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions , 2003 .
[22] N. SIAMJ.,et al. ANALYSIS AND COMPARISON OF DIFFERENT APPROXIMATIONS TO NONLOCAL DIFFUSION AND LINEAR PERIDYNAMIC EQUATIONS∗ , 2013 .
[23] E. Candès,et al. Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges , 2000 .
[24] Enrico Valdinoci,et al. Is a nonlocal diffusion strategy convenient for biological populations in competition? , 2017, Journal of mathematical biology.
[25] Hong Wang,et al. A fast collocation method for a static bond-based linear peridynamic model , 2016 .
[26] S. Silling,et al. Viscoplasticity using peridynamics , 2010 .
[27] Ricardo H. Nochetto,et al. Discrete ABP Estimate and Convergence Rates for Linear Elliptic Equations in Non-divergence Form , 2014, Found. Comput. Math..
[28] J. Monaghan,et al. Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .
[29] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[30] Qiang Du,et al. Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization , 2017, SIAM J. Math. Anal..
[31] Francisco-Javier Sayas,et al. Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map , 2016 .
[32] Peter W. Bates,et al. An Integrodifferential Model for Phase Transitions: Stationary Solutions in Higher Space Dimensions , 1999 .
[33] S. Silling. Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .
[34] Lexing Ying,et al. Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations , 2013, 1307.2666.
[35] L. Greengard,et al. A new version of the Fast Multipole Method for the Laplace equation in three dimensions , 1997, Acta Numerica.