Chauvinistic 发表于 2025-3-26 23:50:52

https://doi.org/10.1007/978-3-642-33380-4ase of the higher order NOM. The higher order NOM can be derived by two methods, one is the weighted Taylor series expansion, and the other is the minimization of operator energy functional for Taylor series expansion. For a special higher order quadratic functional, we derived the residual, tangent

Hirsutism 发表于 2025-3-27 04:07:09

Studying Stellar Rotation and Convectionme difficulty in enforcing boundary conditions accurately. The NOM with interpolation property can solve these problems when an accurate numerical integration scheme is adopted. These boundary conditions are formulated with modified variational principles. The gradient solid problem is solved by the

违反 发表于 2025-3-27 06:18:35

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PLIC 发表于 2025-3-27 09:30:59

F. Zaussinger,F. Kupka,H. J. Muthsamof the phase field and the associated mechanical model are derived as integral forms by a variational principle. The equations are decoupled and solved in time by an explicit scheme employing the Verlet-velocity algorithm for the mechanical field and an adaptive sub-step scheme for the phase field m

Kaleidoscope 发表于 2025-3-27 16:39:24

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耕种 发表于 2025-3-27 21:20:55

Introduction,ical methods are the main tool to find the approximate solutions of physical problems, where the exact solutions are unavailable in most cases. Since various boundary conditions can be taken into account, the numerical method has advantages over the experimental method due to its low cost and more d

HERE 发表于 2025-3-28 00:17:10

Dual-Horizon Peridynamics,the horizon domain and the reaction force from the dual-horizon domain. We prove that the DH-PD satisfies the conservation of linear momentum and angular momentum. The DH-PD allows for an arbitrary horizon for each particle and the discretization can be nonuniform. Some numerical examples at the end

音乐会 发表于 2025-3-28 03:14:21

First-Order Nonlocal Operator Method,onlocal operators, e.g. nonlocal gradient, nonlocal curl and nonlocal divergence. These nonlocal operators converge to the corresponding local ones when the support degenerates to one point. The operator matrices for these operators are derived explicitly. The residuals and tangent stiffness matrice

过时 发表于 2025-3-28 09:19:06

Higher Order Nonlocal Operator Method,ase of the higher order NOM. The higher order NOM can be derived by two methods, one is the weighted Taylor series expansion, and the other is the minimization of operator energy functional for Taylor series expansion. For a special higher order quadratic functional, we derived the residual, tangent

BARB 发表于 2025-3-28 11:08:09

Nonlocal Operator Method with Numerical Integration for Gradient Solid,me difficulty in enforcing boundary conditions accurately. The NOM with interpolation property can solve these problems when an accurate numerical integration scheme is adopted. These boundary conditions are formulated with modified variational principles. The gradient solid problem is solved by the
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查看完整版本: Titlebook: Computational Methods Based on Peridynamics and Nonlocal Operators; Theory and Applicati Timon Rabczuk,Huilong Ren,Xiaoying Zhuang Book 202