Search Results - numerical approximation of solutions of (dynamical OR dynamika) problems in solid mechanics

A Discontinuous Galerkin Material Point Method for the solution of impact problems in solid dynamics by Renaud, Adrien, Heuzé, Thomas, Stainier, Laurent

“… A solid domain is represented by a collection of particles that can move and carry the fields of the problem inside an arbitrary computational grid in order to provide a Lagrangian description…”
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The u‐p approximation versus the exact dynamic equations for anisotropic fluid‐saturated solids. I. Hyperbolicity by Osinov, Vladimir A.

“…The numerical solution of dynamic problems for porous fluid‐saturated solids is often performed with the use of simplified equations known as the u‐p approximation…”
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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations by Carlberg, Kevin, Bou-Mosleh, Charbel, Farhat, Charbel

“…‐linear static or dynamic computational model in view of enabling its processing in real time. The right reduced…”
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Global Solutions for Incompressible Viscoelastic Fluids by lei, Zhen, Liu, Chun, Zhou, Yi

“…We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n -dimensional torus for the incompressible viscoelastic…”
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The neural particle method – An updated Lagrangian physics informed neural network for computational fluid dynamics by Wessels, Henning, Weißenfels, Christian, Wriggers, Peter

“… Up to date, no general purpose numerical method is available which can accurately resolve a variety of physics ranging from fluid to solid mechanics including large deformations and free surface flow phenomena…”
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Accurate data‐driven surrogates of dynamical systems for forward propagation of uncertainty by De, Saibal, Jones, Reese E., Kolla, Hemanth

“… This work presents an alternative approach, where we apply the SC approximation over the dynamics of the model, rather than the solution…”
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Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration by Sun, X., Ariza, M.P., Ortiz, M., Wang, K.G.

“… a nonlinear optimization problem at every time-step. This paper presents two numerical methods…”
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A mixed variational approach for modeling frictional contact problems with normal compliance in electro-elasticity by Benkhira, El Hassan, El Yamouni, Ouiame, Fakhar, Rachid, Mandyly, Youssef

“… This contact is described by a reduced normal compliance law. To address this problem, we establish a mixed variational formulation and prove the existence of a unique solution…”
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Truly monolithic algebraic multigrid for fluid-structure interaction by Gee, M. W., Küttler, U., Wall, W. A.

“… Many different solution schemes have been proposed. In this contribution, we concentrate on the strong coupling fluid…”
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Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM) by Tanimura, Yoshitaka

“…). However, such approximations cannot be applied in chemical physics and biochemical physics problems, where environmental…”
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Comparison of solution strategies for multibody dynamics equations by Mariti, L., Belfiore, N. P., Pennestrì, E., Valentini, P. P.

“…In the last decades, several different formalisms have been proposed in the literature in order to simulate the dynamics of multibody systems…”
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A multilevel projection‐based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics by Zahr, Matthew J., Avery, Philip, Farhat, Charbel

“…Summary A reduction/hyper reduction framework is presented for dramatically accelerating the solution of nonlinear dynamic multiscale problems in structural and solid mechanics…”
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Stability and Numerical Analysis of Micropolar Viscoelastic Systems by Bazarra, Noelia, Fernández, José R., Fernández Sare, Hugo D., Quintanilla, Ramón

“… Then, the polynomial energy decay is obtained applying a characterization of the system operator. In a second part, we consider the numerical approximation of a variational version of the above problem…”
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Maxwell Points of Dynamical Control Systems Based on Vertical Rolling Disc—Numerical Solutions by Stodola, Marek, Rajchl, Matej, Brablc, Martin, Frolík, Stanislav, Křivánek, Václav

“…We study two nilpotent affine control systems derived from the dynamic and control of a vertical rolling disc that is a simplification of a differential drive wheeled mobile robot…”
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Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions by Wu, Jinglai, Luo, Zhen, Zhang, Yunqing, Zhang, Nong, Chen, Liping

“…SUMMARYThis study proposes a new uncertain analysis method for multibody dynamics of mechanical systems based on Chebyshev inclusion functions The interval model accounts for the uncertainties…”
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A Feynman-Kac based numerical method for the exit time probability of a class of transport problems by Yang, Minglei, Zhang, Guannan, del-Castillo-Negrete, Diego, Stoyanov, Miroslav

“… of the most natural and important transport problems. Here we present an accurate and efficient numerical method for computing this probability for systems described by non-autonomous (time-dependent…”
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Numerical solution of fluid–structure interaction in piping systems by Glimm's method by Gomes da Rocha, Rogerio, Bastos de Freitas Rachid, Felipe

“…This work presents a numerical procedure for obtaining approximated solutions for one-dimensional fluid…”
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Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics by Chasapi, Margarit, Mester, Leonie, Simeon, Bernd, Klinkel, Sven

“…This contribution presents an isogeometric approach in three dimensions for nonlinear problems in solid mechanics and structural dynamics…”
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An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures by Baldonedo, Jacobo, Bazarra, Noelia, Fernández, José R., Quintanilla, Ramón

“…In this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures…”
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Uncertainty quantification via λ-Neumann methodology of the stochastic bending problem of the Levinson–Bickford beam by Squarcio, Roberto M. F., da Silva, Claudio R. Ávila

“…In stochastic structural mechanics, the treatment of uncertainty is often the main objective of numerical simulations to estimate the responses of a system or physical phenomenon…”
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