Results 61 to 70 of about 96,341 (238)
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 47, Issue 2, Page 145-186, 10 February 2023., 2023 Abstract A two‐phase velocity‐pressure stabilized formulation is proposed for the numerical analysis of mechanized excavations in partially saturated soft soils using the Particle Finite Element Method (PFEM). The fully coupled formulation is based on the theory of porous media in association with the Soil Water Characteristic Curve and the porosity ...
Abdiel Ramon Leon Bal, Günther Meschke
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Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023 Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza +3 more
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A Short Proof of Euler–Poincaré Formula [PDF]
, 2021 "V - E + F = 2", the famous Euler's polyhedral formula, has a natural generalization to convex polytopes in every finite dimension, also known as the Euler-Poincar Formula. We provide another short inductive proof of the general formula. Our proof is self-contained and it does not use shellability of polytopes.
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Reinforcement learning for optimal control of stochastic nonlinear systems
AIChE Journal, EarlyView.Abstract A reinforcement learning (RL) approach is developed in this work for nonlinear systems under stochastic uncertainty. A stochastic control Lyapunov function (SCLF) candidate is first constructed using neural networks (NNs) as an approximator to the value function, and then a control policy designed using this SCLF is developed to ensure the ...
Xinji Zhu, Yujia Wang, Zhe Wu
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Efficient formulation of a two‐noded geometrically exact curved beam element
International Journal for Numerical Methods in Engineering, Volume 124, Issue 3, Page 570-619, 15 February 2023., 2023 Abstract The article extends the formulation of a 2D geometrically exact beam element proposed by Jirásek et al. (2021) to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic relations and sectional equations that link the internal forces to sectional deformation variables.
Martin Horák +2 more
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Advanced Intelligent Systems, EarlyView.In this article, an energy‐efficient hardware implementation of spiking‐restricted Boltzmann machines using the pseudo‐synaptic sampling (PS2) method is presented. In the PS2 method, superior area and energy efficiency over previous approaches, such as the random walk method, are demonstrated, achieving a 94.94% reduction in power consumption during on‐
Hyunwoo Kim +10 more
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Deep learning phase‐field model for brittle fractures
International Journal for Numerical Methods in Engineering, Volume 124, Issue 3, Page 620-638, 15 February 2023., 2023 Abstract We present deep learning phase‐field models for brittle fracture. A variety of physics‐informed neural networks (PINNs) techniques, for example, original PINNs, variational PINNs (VPINNs), and variational energy PINNs (VE‐PINNs) are utilized to solve brittle phase‐field problems.
Yousef Ghaffari Motlagh +2 more
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A generalised Euler-Poincaré formula for associahedra [PDF]
arXiv, 2017 We derive a formula for the number of flip-equivalence classes of tilings of an $n$-gon by collections of tiles of shape dictated by an integer partition $\lambda$. The proof uses the Euler-Poincar\'e formula; and the formula itself generalises the Euler-Poincar\'e formula for associahedra.
arxiv
On the Volterra integral equation for the remainder term in the asymptotic formula on the associated Euler totient function [PDF]
JP Journal of Algebra, Number Theory & Applications, 2022, 2022 This paper, first, we consider the Volterra integral equation for the remainder term in the asymptotic formula for the associated Euler totient function. Secondly, we solve the Volterra integral equation and we split the error term in the asymptotic formula for the associated Euler totient function into two summands called arithmetic and analytic part ...
arxiv
General dual Euler-Simpson formulae [PDF]
Journal of Mathematical Inequalities, 2008 We consider a general dual Simpson formulae, using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or $R$-integrable functions, are proved.
Ana Vukelić, Josip Pečarić
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