Free surface groundwater flow solution using boundary collocation methods
In this paper, two meshless numerical algorithms are developed for the solution of two-dimensional steady-state diffusion equation that describes the stationary groundwater flow.
Mužík Juraj, Bulko Roman
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In this work, we present the Taylor-SPH meshfree method for dynamic problem. The PDEs are written in terms of stress and velocity. A corrected Lagrangian kernel is employed for spatial discretization and two different sets of particles are used for time discretization.
Idder, Hajar, Mabssouta, Mokhtar
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Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]
In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
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A Meshless Radial Point Interpolation Method for Solving Fractional Navier–Stokes Equations
This paper aims to develop a meshless radial point interpolation (RPI) method for obtaining the numerical solution of fractional Navier–Stokes equations. The proposed RPI method discretizes differential equations into highly nonlinear algebraic equations,
Arman Dabiri +3 more
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Meshless Unsymmetric Collocation Method
The history of meshless collocation methods featured plenty of nicely calculated practical solutions, but a solid mathematical basis was long missing for the most popular asymmetric technique introduced by E. Kansa. Thus the impact of this work will be to supply a lasting mathematical foundation which will also improve our general understanding of such
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Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater. [PDF]
Ahmad I +4 more
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Using a meshless method to investigate the effects of confining pressure on the hydraulic fracturing processes of hydraulic tunnels. [PDF]
Zhang H +7 more
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How Will Concrete Piles for Offshore Wind Power Be Damaged Under Seawater Erosion? Insights from a Chemical-Damage Coupling Meshless Method. [PDF]
Wu C +5 more
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Meshless method with operator splitting technique for transient nonlinear bioheat transfer in two-dimensional skin tissues. [PDF]
Zhang ZW, Wang H, Qin QH.
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