Articles with "stabilized finite" as a keyword



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A stabilized finite volume element method for solving Poisson-Nernst-Planck equations.

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Published in 2021 at "International journal for numerical methods in biomedical engineering"

DOI: 10.1002/cnm.3543

Abstract: One difficulty in solving the Poisson-Nernst-Planck (PNP) equations used for studying the ion transport in channel proteins is the possible convection-dominant problem in the Nernst-Planck equations. In this paper, to overcome this issue, considering the… read more here.

Keywords: nernst planck; stabilized finite; solving poisson; planck ... See more keywords
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Parallel iterative stabilized finite element algorithms for the Navier–Stokes equations with nonlinear slip boundary conditions

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Published in 2020 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.4920

Abstract: Based on full domain partition technique, some parallel iterative pressure projection stabilized finite element algorithms for the Navier–Stokes equations with nonlinear slip boundary conditions are designed and analyzed. In these algorithms, the lowest equal‐order P1 − P1… read more here.

Keywords: algorithms navier; finite element; stabilized finite; algorithms ... See more keywords
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Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation

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Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2019.06.001

Abstract: Abstract The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004), allows computing incompressible viscoelastic problems with high Weissenberg numbers which are impossible to solve with the typical three-field formulation. By following this approach, in… read more here.

Keywords: formulation; conformation; finite element; stabilized finite ... See more keywords
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Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis

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Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"

DOI: 10.1016/j.cma.2019.112703

Abstract: Abstract The purpose of this work is the design and analysis of a posteriori error estimators for low-order stabilized finite element approximations of a generalized Boussinesq problem. We consider standard stabilization procedures over conforming finite… read more here.

Keywords: finite element; error; analysis; stabilized finite ... See more keywords
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Adaptive stabilized finite volume method and convergence analysis for the Oseen equations

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Published in 2018 at "Boundary Value Problems"

DOI: 10.1186/s13661-018-1044-5

Abstract: In this paper, based on the pressure project method, we consider an adaptive stabilized finite volume method for the Oseen equations with the lowest equal order finite element pair. Firstly, we develop the discrete forms… read more here.

Keywords: volume; finite volume; stabilized finite; adaptive stabilized ... See more keywords