Discontinuous Galerkin finite element method applied to the coupled unsteady Stokes/Cahn‐Hilliard equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4720
Abstract: Two-phase flows driven by the interfacial dynamics are studied by tracking implicitly interfaces in the framework of the Cahn-Hilliard theory. The fluid dynamics is described by the Stokes equations with an additional source term in… read more here.
Keywords: finite element; discontinuous galerkin; galerkin finite; equation ... See more keywords
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
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DOI: 10.1007/s10543-019-00782-3
Abstract: This paper concerns the accuracy of Galerkin finite element approximations to two types of shape gradients for eigenvalue optimization. Under certain regularity assumptions on domains, a priori error estimates are obtained for the two approximate… read more here.
Keywords: finite element; gradients eigenvalue; galerkin finite; eigenvalue optimization ... See more keywords
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients
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DOI: 10.1016/j.apnum.2021.05.021
Abstract: Abstract In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L 1 discretization in time and a weak Galerkin finite… read more here.
Keywords: time; weak galerkin; method; finite element ... See more keywords
A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media
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DOI: 10.1016/j.compgeo.2018.04.013
Abstract: Abstract A new Petrov-Galerkin finite element method for two-dimensional (2D) highly advective flows in porous media, which removes numerical oscillations and retains its precision compared to the conventional Galerkin finite element method, is presented. A… read more here.
Keywords: finite element; element method; galerkin finite; petrov galerkin ... See more keywords
Galerkin finite element analysis of thermal aspects of FeO-MWCNT/water hybrid nanofluid filled in wavy enclosure with uniform magnetic field effect
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DOI: 10.1016/j.icheatmasstransfer.2021.105461
Abstract: Abstract In this contribution, a numerical investigation was made for heat transfer and steady magneto-hydrodynamic natural convection in a fined cold wavy-walled porous enclosure with a hot elliptic inner cylinder occupied by hybrid Fe3O4-MWCNT /water… read more here.
Keywords: finite element; uniform magnetic; enclosure; magnetic field ... See more keywords
Computational fluid dynamic simulations for dispersion of nanoparticles in a magnetohydrodynamic liquid: a Galerkin finite element method
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DOI: 10.1039/c8ra03825b
Abstract: This investigation studies the effects of the thermo-physical properties of four types of nano-metallic particles on the thermo-physical properties of radiative fluid in the presence of buoyant forces and Joule heating (ohmic dissipation). The Galerkin… read more here.
Keywords: finite element; dispersion; computational fluid; galerkin finite ... See more keywords
An implicit discontinuous Galerkin finite element discrete Boltzmann method for high Knudsen number flows
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DOI: 10.1063/5.0041636
Abstract: Simulations of the discrete Boltzmann Bhatnagar–Gross–Krook equation are an important tool for understanding fluid dynamics in non-continuum regimes. Here, we introduce a discontinuous Galerkin finite element method for spatial discretization of the discrete Boltzmann equation… read more here.
Keywords: discontinuous galerkin; galerkin finite; method; high knudsen ... See more keywords
Galerkin finite element methods for two-dimensional RLW and SRLW equations
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DOI: 10.1080/00036811.2017.1359568
Abstract: ABSTRACT In this paper, Galerkin finite methods for two-dimensional regularized long wave and symmetric regularized long wave equation are studied. The discretization in space is by Galerkin finite element method and in time is based… read more here.
Keywords: methods two; finite element; rlw srlw; galerkin finite ... See more keywords
Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise
Sign Up to like & getrecommendations! Published in 2021 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drab035
Abstract: A Galerkin finite element method is applied to approximate the solution of a semilinear stochastic space and time fractional subdiffusion problem with the Caputo fractional derivative of the order $ \alpha \in (0, 1)$, driven… read more here.
Keywords: fractionally integrated; fractional subdiffusion; galerkin finite; finite element ... See more keywords