, 2023 In this paper, we present a discontinuity and cusp capturing physics-informed neural network (PINN) to solve Stokes equations with a piecewise-constant viscosity and singular force along an interface.
Lai, Ming-Chih, Tseng, Yu-Hau
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Radial Basis Functions: Biomedical Applications and Parallelization [PDF]
, 2016 Radial basis function (RBF) is a real-valued function whose values depend only on the distances between an interpolation point and a set of user-specified points called centers.
Liu, Ke
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SPH numericalapproach in modelling 2D muddy debris flaw [PDF]
, 2011 2D muddy debris flow has been simulated according to a dam break like problem along a slope. The two sets of equations related to the fluid and solid phases, as considered by the debris flow mixture theory, have been simpli ed in only one set of ...
minatti, L., pasculli, A.
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Reviving the Vortex Particle Method: A Stable Formulation for Meshless Large Eddy Simulation
The vortex particle method (VPM) is a mesh-free approach to computational fluid dynamics (CFD) solving the Navier-Stokes equations in their velocity-vorticity form.
Alvarez, Eduardo J., Ning, Andrew
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Simulating the flow of some non-Newtonian fluids with neural-like networks and stochastic processes [PDF]
, 2004 The thesis reports a contribution to the development of neural-like network- based element-free methods for the numerical simulation of some non-Newtonian fluid flow problems. The numerical approximation of functions and solution of the governing partial
Tran, Canh-Dung
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Gaussian Process Regression for Data Fulfilling Linear Differential Equations with Localized Sources. [PDF]
Entropy (Basel), 2020 Albert CG, Rath K.
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Singular Boundary Method for Heat Conduction in Layered Materials [PDF]
In this paper, we investigate the application of the singular boundary method (SBM) to two-dimensional problems of steady-state heat conduction in isotropic bimaterials. A domain decomposition technique is employed where the bimaterial is decomposed into
Htike Htike, W. Chen, Y. Gu
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Application of the method of fundamental solutions to potential-based inverse electrocardiography. [PDF]
Ann Biomed Eng, 2006 Wang Y, Rudy Y.
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Analytically grounded full-wave methods for advances in computational electromagnetics. [PDF]
Philos Trans A Math Phys Eng SciLucido M +4 more
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A multiscale topology optimization design framework with data driven surrogate model. [PDF]
Sci RepZhou H, Zhou C.
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