Global well-posedness for the 3-D generalized MHD equations

Wang, Zhaoyang; Liu, Hui

doi:10.1016/j.aml.2023.108585

Cited by 3 publications

(1 citation statement)

References 14 publications

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“…Streamline Upwind Petrov-Galerkin (SUPG) method [20] is one of the mostly preferred stabilization technique in which stable solutions are obtained by adding mesh-dependent terms to the standard Galerkin FEM formulation. Even there are many papers in different areas as applications of MHD and stabilized FEM, let's refer only a few of them on recent years [21][22][23][24][25][26][27][28][29][30][31][32][33][34] and references therein.…”

Section: Introductionmentioning

confidence: 99%

3D Stabilized FEM Solution of the MHD Equations in an External Medium and Around a Solid

Aydın,

Erdoğan

2023

Cumhuriyet Science Journal

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In this study, we consider 3-D MagnetoHydroDynamic (MHD) flow problems with different configurations which are mathematically expressed by system of coupled partial differential equation with coupled boundary conditions. These equations are solved numerically using one of the most popular schemes named as the finite element method (FEM) with SUPG type stabilized version in order to obtain accurate and stable solutions especially for the high values of the problem parameters. Obtained numerical solutions are visualized in terms of figures by taking the 2-D slices of the 3-D data in order to emphasize the accuracy of the proposed formulation.

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