Search Results - "Trong Khiem Nguyen, Lu"

Dispersive shock waves for the Boussinesq Benjamin–Ono equation by Nguyen, Lu Trong Khiem, Smyth, Noel Frederick

“…In this work, the dispersive shock wave (DSW) solution of a Boussinesq Benjamin–Ono (BBO) equation, the standard Boussinesq equation with dispersion replaced…”
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Accelerating the distance-minimizing method for data-driven elasticity with adaptive hyperparameters by Nguyen, Lu Trong Khiem, Aydin, Roland Can, Cyron, Christian Johannes

“…Data-driven constitutive modeling in continuum mechanics assumes that abundant material data are available and can effectively replace the constitutive law. To…”
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A surrogate model for computational homogenization of elastostatics at finite strain using high‐dimensional model representation‐based neural network by Minh Nguyen‐Thanh, Vien, Trong Khiem Nguyen, Lu, Rabczuk, Timon, Zhuang, Xiaoying

“…Summary We propose a surrogate model for two‐scale computational homogenization of elastostatics at finite strains. The macroscopic constitutive law is made…”
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Modulation Theory for Radially Symmetric Kink Waves Governed by a Multi-Dimensional Sine-Gordon Equation by Nguyen, Lu Trong Khiem, Smyth, Noel Frederick

“…We derive a modulation theory for the resolution of radially symmetric kink waves governed by a multi-dimensional sine-Gordon equation. Whitham modulation…”
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Variational framework for distance-minimizing method in data-driven computational mechanics by Nguyen, Lu Trong Khiem, Rambausek, Matthias, Keip, Marc-André

“…A variational framework for the distance-minimizing data-driven computing method is proposed. We provide a mathematical view on data-driven boundary value…”
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Modified homogeneous balance method: Applications and new solutions by Nguyen, Lu Trong Khiem

“…This work is devoted to application of the modified homogeneous balance method to obtain generalized bilinear forms of some well-known soliton equations: the…”
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A two‐scale FE‐FFT approach to nonlinear magneto‐elasticity by Rambausek, Matthias, Göküzüm, Felix Selim, Nguyen, Lu Trong Khiem, Keip, Marc‐André

“…Summary Fourier‐based approaches are a well‐established class of methods for the theoretical and computational characterization of microheterogeneous…”
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A numerical scheme and some theoretical aspects for the cylindrically and spherically symmetric sine-Gordon equations by Nguyen, Lu Trong Khiem

“…•A predictor-corrector technique is proposed to numerically integrate the sine-Gordon equation for the ring-shaped solution.•A pseudo-analytical expression of…”
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A multiscale FE-FFT framework for electro-active materials at finite strains by Göküzüm, Felix Selim, Nguyen, Lu Trong Khiem, Keip, Marc-André

“…The present work addresses the fast-Fourier-transform-based computational homogenization of electro-mechanically coupled materials at finite strains. While the…”
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Amplitude modulation of waves governed by Korteweg–de Vries equation by Le, Khanh Chau, Nguyen, Lu Trong Khiem

“…Using the variational-asymptotic method we develop the theory of amplitude modulation of waves governed by Korteweg–de Vries (KdV) equation. Two asymptotic…”
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Soliton Solution of Good Boussinesq Equation by Nguyen, Lu Trong Khiem

“…Using Hirota’s direct bilinear method, we develop the soliton solution of the good Boussinesq equation. A mathematical justification of the solution formula is…”
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Wronskian Formulation and Ansatz Method for Bad Boussinesq Equation by Nguyen, Lu Trong Khiem

“…In this work, two variants of the bad Boussinesq equation are studied. A Wronskian formulation is constructed for the solutions of the first equation. Various…”
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An Artificial Neural Network Based Solution Scheme for Periodic Computational Homogenization of Electrostatic Problems by Göküzüm, Felix Selim, Nguyen, Lu Trong Khiem, Keip, Marc-André

“…The present work addresses a solution algorithm for homogenization problems based on an artificial neural network (ANN) discretization. The core idea is the…”
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Slope modulation of waves governed by sine–Gordon equation by Le, Khanh Chau, Nguyen, Lu Trong Khiem

“…► The equation of slope modulation is obtained by the variational-asymptotic method. ► A class of asymptotic solutions is found in terms of the density of…”
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A data-driven approach to nonlinear elasticity by Nguyen, Lu Trong Khiem, Keip, Marc-André

“…•The distance-minimizing data-driven method is extended for nonlinear elasticity.•Physical constraints are enforced by the use of Lagrange multipliers.•Insight…”
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A Timoshenko-Ehrenfest beam model for simulating Langevin transducer dynamics by Liu, Yuchen, Nguyen, Lu Trong Khiem, Li, Xuan, Feeney, Andrew

“…The Langevin transducer is a widely used power ultrasonic device across both medical and industrial applications, from orthopaedic surgery to drilling and…”
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An Artificial Neural Network based Solution Scheme to periodic Homogenization by Göküzüm, Felix Selim, Nguyen, Lu Trong Khiem, Keip, Marc-André

“…Artificial neural networks (ANNs) have aroused research's and industry's interest due to their excellent approximation properties and are broadly used nowadays…”
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Slope modulation of waves governed by sineaGordon equation by Le, Khanh Chau, Nguyen, Lu Trong Khiem

“…Using the variational-asymptotic method we develop the theory of slope modulation of wave packet governed by sineaGordon equation. A class of asymptotic…”
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A variational framework for distance‐minimizing data‐driven method for linear elasticity by Nguyen, Lu Trong Khiem, Rambausek, Matthias, Keip, Marc‐André

“…A variational framework for the distance‐minimizing data‐driven computing method is proposed based on the method of Lagrange multipliers. The data‐driven…”
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FFT‐based Homogenization in nonlinear Electroelasticity by Göküzüm, Felix Selim, Nguyen, Lu Trong Khiem, Keip, Marc‐André

“…Electroactive polymers (EAPs) are a group of materials that is able to respond with large strains to applied electric fields, making them candidates for…”
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