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Robust Optimization of Discontinuous Loss Functions
Discontinuous loss functions are prevalent in engineering, sciences, data science, and machine learning applications. In engineering and the...
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Geometric stress functions, continuous and discontinuous
In his work on stress functions Maxwell noted that given a planar truss the internal force distribution may be described by a piecewise linear,
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Physics enhanced sparse identification of dynamical systems with discontinuous nonlinearities
A method is introduced for the identification of the nonlinear governing equations of dynamical systems in the presence of discontinuous and...
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Time-dependent behavior of discontinuous biocomposites in soft tissues
Measurement of the strain rate sensitivity of viscoelastic properties is crucial for accurate predictions of the time-dependent behavior of...
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Discontinuous mechanical behaviors of existing shield tunnel with stiffness reduction at longitudinal joints
An analytical model is proposed to estimate the discontinuous mechanical behavior of an existing shield tunnel above a new tunnel. The existing...
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High-order Accurate Beam Models Based on Discontinuous Galerkin Methods
A novel high-order accurate approach to the analysis of beam structures with bulk and thin-walled cross-sections is presented. The approach is based...
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On Discontinuous Systems with Sliding Modes
The paper considers ODE systems with controls of a special form. In general case the controls are discontinuous in phase variables functions, so the...
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An adaptive continuous–discontinuous approach for the analysis of phase field fracture using mesh refinement and coarsening schemes and octree-based trimmed hexahedral meshes
In this paper, we present a novel adaptive continuous–discontinuous approach for the analysis of phase field fracture. An initial trimmed hexahedral...
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Discontinuous Solutions of Concrete Elements Strength Problems Using the Principle of Virtual Velocitiess
To determine the strength of concrete and reinforced concrete elements, discontinuous solutions are used in the theory of plasticity. Concrete is...
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Improved finite-time synchronization of coupled discontinuous neural networks under adaptive sliding mode control
This paper discusses the improved finite-time synchronization of coupled discontinuous neural network (CDNN) based on the adaptive sliding mode...
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A robust implicit high-order discontinuous Galerkin method for solving compressible Navier-Stokes equations on arbitrary grids
The primary impediments impeding the implementation of high-order methods in simulating viscous flow over complex configurations are robustness and...
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A simple a posteriori indicator for discontinuous Galerkin method on unstructured grids
A simple and efficient troubled-cell indicator based on a posteriori limiting paradigm is proposed for the discontinuous Galerkin (DG) method on the...
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Stability of modulated signals in the damped mechanical network of discontinuous coupled system oscillators with irrational nonlinearities
The behavior of mechanical network consisting of discontinuous damped system oscillators elastically coupled with strong irrational nonlinearities,...
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Accuracy assessment of discontinuous Galerkin spectral element method in simulating supersonic free jets
The study performs large eddy simulations of supersonic free jet flows using the discontinuous Galerkin spectral element method (DGSEM). The main...
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Analysis of discontinuous dynamical behaviors for a 3-DOF friction collision system with dynamic vibration absorber
In this work, the discontinuous dynamic behavior of a 3-DOF (three-degree-of-freedom) friction collision system with dynamic vibration absorber is...
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Transient surrogate modeling of modally reduced structures with discontinuous loads and dam**
In this work, a surrogate model for structural, transient and discontinuously excited finite element method simulations is developed. This allows to...
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Improving Manufacturing Efficiency for Discontinuous Processes by Methodological Cross-Domain Knowledge Transfer
Discontinuous processes face common tasks when implementing modeling and optimization techniques for process optimization. While domain data may be...
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Closed-form solutions for modelling the rotational stiffness of continuous and discontinuous compliant interfaces in two-layer Timoshenko beams
An analytical model for a two-layer Timoshenko beam with a compliant interface is presented. A family of closed-form solutions is given for several...
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New fixed-time stability in probability lemmas of stochastic discontinuous systems and applications
This paper aims to investigate new fixed-time stability in probability (FTSP) of the stochastic discontinuous systems. By means of inequality...
