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A mechanics-based model for a tendon-driven active needle navigating inside a multiple-layer tissue. [PDF]
Padasdao B, Konh B.
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Emerging Advanced Electronic Packaging Materials for Thermal Management in Power Electronics. [PDF]
Huo Y +11 more
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Respiratory drive heterogeneity associated with systemic inflammation and vascular permeability in acute respiratory distress syndrome. [PDF]
Baedorf-Kassis E +15 more
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Convergence analysis of deep Ritz method with over-parameterization
Neural NetworksThe deep Ritz method (DRM) has recently been shown to be a simple and effective method for solving PDEs. However, the numerical analysis of DRM is still incomplete, especially why over-parameterized DRM works remains unknown. This paper presents the first convergence analysis of the over-parameterized DRM for second-order elliptic equations with Robin ...
Zhao, Ding +4 more
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Free vibration analysis of deep doubly curved open shells using the Ritz method
Aerospace Science and Technology, 2017Abstract This paper develops a unified semi-analytical method for the free vibration analysis of moderately thick doubly curved open shells with arbitrary geometry and classic boundary conditions. The only restriction on the shell's geometry is that boundaries are being coincided by the principal curvature lines of the shell. The formulation is based
K. Malekzadeh Fard, A.M. Baghestani
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Deep Ritz Method for Elliptical Multiple Eigenvalue Problems
Journal of Scientific ComputingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Ji +4 more
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Analysis of Deep Ritz Methods for Semilinear Elliptic Equations
Numerical Mathematics: Theory, Methods and ApplicationsSummary: In this paper, we propose a method for solving semilinear elliptical equations using a ResNet with ReLU\(^2\) activations. Firstly, we present a comprehensive formulation based on the penalized variational form of the elliptical equations. We then apply the Deep Ritz Method, which works for a wide range of equations.
Chen, Mo +5 more
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Computational Mechanics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linghu, Jiale +3 more
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Linghu, Jiale +3 more
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