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Published in 2021 at "Acta Mechanica"
DOI: 10.1007/s00707-020-02883-5
Abstract: This paper presents a novel semi-implicit scheme for elastodynamics and wave propagation problems in nearly and truly incompressible material models. The proposed methodology is based on the efficient computation of the Schur complement for the…
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Keywords:
semi implicit;
scheme;
nearly truly;
wave propagation ... See more keywords
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Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.01.005
Abstract: Abstract In this paper, we focus on a decoupled, linearized semi-implicit Galerkin FEM scheme for a MHD system coupled by the time-dependent Navier–Stokes equation with the steady Maxwell's equations in three-dimensional convex domain. First, additional…
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Keywords:
system;
implicit scheme;
scheme;
magnetohydrodynamics ... See more keywords
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Published in 2023 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2023.2207677
Abstract: The current paper develops and analyzes a numerical scheme for the space–time fractional stochastic nonlinear diffusion wave equations. The implicit scheme is based on the matrix transform technique for discretizing the Riesz-space fractional derivative, -order…
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Keywords:
time;
diffusion wave;
space;
scheme ... See more keywords
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Published in 2022 at "Entropy"
DOI: 10.3390/e24101395
Abstract: In this article, we mainly consider a first order penalty finite element method (PFEM) for the 2D/3D unsteady incompressible magnetohydrodynamic (MHD) equations. The penalty method applies a penalty term to relax the constraint “∇·u=0”, which…
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Keywords:
euler semi;
mhd equations;
pfem;
semi implicit ... See more keywords
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Published in 2020 at "Communications in Computational Physics"
DOI: 10.4208/cicp.oa-2018-0188
Abstract: We propose a numerical method for the simulation of flows from weakly compressible to low Mach regimes in domains with moving boundaries. Non-miscible weakly compressible materials separated by an interface are included as well. The…
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Keywords:
implicit scheme;
compressible materials;
weakly compressible;
scheme moving ... See more keywords