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Showing 1 to 20 of 59 for “"spatial discretization"”.
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Generalized spatial discretization techniques for space-marching algorithms
Two unique spatial discretizations employing generalized indexing strategies suitable for use with space-marching algorithms are presented for the numerical solution of the equations of fluid dynamics. Both discretizations attempt to improve geometric flexibility as compared to structured indexing …
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A survey of discontinuous Galerkin methods for solving the time domain Maxwell's equations
… field. The spectral properties of the DG spatial discretization matrix for each flux are surmised by considering three different meshes and example eigenvalue plots. The convergence rate of the first ten eigenvalues is observed for h - and p -refinements. The central flux scheme is …
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Implicit-explicit methods for time-dependent PDE’s
… to integrate dynamical systems arising from spatially discretized time-dependent partial differential equations. For problems with terms of different types, implicit-explicit (IMEX) schemes have been used, especially in conjunction with spectral methods. For convection-diffusion problems, for …
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Um algoritmo de ordem superior para a integração direta das equações da dinâmica estrutural
… stable and uses an iterative procedure. The spatial discretization is accomplished by the Finite Element Method and framed structures including geometric nonlinearities are analysed. Examples are presented and some results are compared with known solutions.
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Numerical approximations of coupled forward-backward SPDEs with applications
… For the FBSPDE, the finite element method in the spatial domain leads to approximations by finite-dimensional forward-backward stochastic differential equations (FBSDEs) in the temporal domain. We then approximate the solution of FBSDE by some existing machine learning schemes. Strong convergence …
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… and other implicit schemes for the temporal discretization, highly accurate solutions are also obtained for transient line contact problems using the high order DG method for the spatial discretization. In particular, an extra pressure spike is captured, which is difficult to resolve when …
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Numerical simulation of acoustic waves in a rectangular chamber
… The numerical method employs a finite difference spatial discretization and semi-implicit time-marching procedure. Verification is accomplished by propagating linear acoustic waves.</p><p>The desired result of forcing is a standing wave. However, the results show a significantly more complex flow …
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Consistency and Convergence of Non-parametric Estimation of Drift and Diffusion Coefficients in SDEs from Long Stationary Time-series
… SDEs. These estimators involve time- and space-discretization parameters for computing discrete analogs of expected values from discretely-sampled stationary data. Number of observational points is the third important computational parameter. Next, we derive bounds for the asymptotic behavior of …
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Numerical Methods in Seismic Wave Propagation
… combined with local pseudospectral spatial discretization, to three physically realistic models of seismic waves, namely their propagation in acoustic, elastic, and viscoelastic media. The Galerkin formulation solves the weak form of the partial differential equation representing …
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First Exit Time Analysis for the Stochastic Reaction Diffusion Process in a One Dimensional Domain
… challenge remains: how does the choice of spatial discretization affect the accuracy and computational efficiency of simulation results, particularly when estimating first exit times. This thesis addresses this research gap by investigating the accuracy of first exit time estimates in …
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A Hybrid Spectral-Element / Finite-Element Time-Domain Method for Multiscale Electromagnetic Simulations
… for conventional numerical methods. In terms of spatial discretization, conventional methods use a single mesh for the whole structure, thus a high discretization density required to capture the geometric characteristics of electrically fine structures will inevitably lead to a large number of …
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Impact of Discretization Techniques on Nonlinear Model Reduction and Analysis of the Structure of the POD Basis
… viscous Burgers equation is conducted. The discretization techniques Finite Differences, Finite Element Method and Group Finite Elements are applied and their impact on model reduction techniques, namely Proper Orthogonal Decomposition (POD), Group POD and the Discrete Empirical …
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Scalable High-Resolution Simulation of the Prey-Predator Model, with a Non-Local Consumption of Prey
… (KSS) time integrator into a Fourier spectral spatial discretization. KSS, which treats each Fourier mode with a frequency-dependent polynomial, avoids the need for solutions of large linear systems in implicit schemes and maintains the computing simplicity of explicit schemes. It also allows …
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Exponential integrators: tensor structured problems and applications
… Equations (ODEs), that typically arise after spatial discretization of many important evolutionary Partial Differential Equations (PDEs), constitutes a topic of wide interest in numerical analysis. A prominent way to numerically integrate such systems involves using exponential integrators. In …
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Numerical analysis of elastic membrane structures subjected to hydrostatic pressure loading
… Green's theorem differencing method for the spatial discretization of the partial differential equations describing the damped motion of the membrane. The resulting system of ordinary differential equations is further integrated in time by a central difference time integrator. Solutions of …
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Numerical solution for subsurface reservoir simulation
… approximation and mixed finite volume method for spatial discretization of elliptic and parabolic PDEs modeling transport flow in porous media. We then present some standard explicit and implicit methods, Rosenbrock schemes and exponential time stepping schemes for temporal discretization. We …
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Multi-sensor large scale land surface data assimilation using ensemble approaches
… the high dimensionality of states created by spatial discretization over large computational grids. The high dimensionality can be reduced by exploiting the fact that soil moisture field may have significant spatial correlation structure especially after extensive rainfall while it may have …
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A Preliminary Study of Acoustic Prediction Technology Based on Detached Eddy Simulations for Supersonic Jets Impinging on Flat Plates
… with the second-order bounded central-upwind spatial discretization and second-order implicit time marching scheme. Flow features like the stagnation bubble, wall jet and feedback mechanism were studied using contour plots. An examination was also done into the mean flow fields of the jet …
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Direct Numerical Simulation of Flow Over Circular Cylinders for Large -Eddy Simulation Modeling
… a Fourier-Chebyshev spectral collocation for the spatial discretization, and boundary conditions that account for the displacement effect of the cylindrical body. The results of the simulation are analyzed and we find good comparison with mean and root-mean-square statistics of both experiments …
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Numerical Model Studies of Enhanced Geothermal Systems
… assuming planar flow channels and using fine spatial discretization in the fracture volumes. Hydro-Mechanical processes are matched with experimental flow measurements data. Calibration was achieved by matching between the model prediction and the steady state injection flow test experiment at …
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