
A structurepreserving finite element method for compressible ideal and resistive MHD
We construct a structurepreserving finite element method and timestepp...
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Analysis of a semiimplicit structurepreserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations
We revise the structurepreserving finite element method in [K. Hu, Y. M...
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Helicityconservative finite element discretization for MHD systems
We construct finite element methods for the magnetohydrodynamics (MHD) s...
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Constraintpreserving hybrid finite element methods for Maxwell's equations
Maxwell's equations describe the evolution of electromagnetic fields, to...
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Analysis of a fully discrete approximation for the classical Keller–Segel model: lower and a priori bounds
This paper is devoted to constructing approximate solutions for the clas...
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A structurepreserving FEM for the uniaxially constrained Qtensor model of nematic liquid crystals
We consider the oneconstant Landau  de Gennes model for nematic liquid...
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Energy Resolved Neutron Imaging for Strain Reconstruction using the Finite Element Method
A pulsed neutron imaging technique is used to reconstruct the residual s...
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A Finite Element Method for MHD that Preserves Energy, CrossHelicity, Magnetic Helicity, Incompressibility, and div B = 0
We construct a structurepreserving finite element method and timestepping scheme for inhomogeneous, incompressible magnetohydrodynamics (MHD). The method preserves energy, crosshelicity (when the fluid density is constant), magnetic helicity, mass, total squared density, pointwise incompressibility, and the constraint div B = 0 to machine precision, both at the spatially and temporally discrete levels.
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