Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow

DOI10.1016/j.cam.2019.112453zbMath1433.65233OpenAlexW2975566658MaRDI QIDQ2291976

Clemens Heitzinger, Mostafa Abbaszadeh, Amirreza Khodadadian, Mehdi Dehghan

Publication date: 31 January 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112453

zbMATH Keywords

convergenceunconditionally stableelement free Galerkin (EFG) methodgroundwater equation and fluid flowinterpolating MLSprevention of groundwater contamination

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Three or more component flows (76T30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Basic methods in fluid mechanics (76M99) Mathematical modeling or simulation for problems pertaining to geophysics (86-10)

Related Items (10)

A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations ⋮ A high-order accurate meshless method for solution of incompressible fluid flow problems ⋮ Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection–reaction–diffusion models ⋮ Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation ⋮ A simple staggered approach for comprehensive analysis of forced convection heat transfer using the improved element-free Galerkin-reduced integration penalty method to solve the fluid dynamics problem ⋮ Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation ⋮ Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations ⋮ Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination ⋮ An adaptive multilevel Monte Carlo algorithm for the stochastic drift-diffusion-Poisson system ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

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