Combined electro-thermal analysis of Li-ion batteries applying the finite element method

Renhart, Werner; Magele, Christian; Brandstätter, Harald; Koplenig, Michael; Scharrer, Georg; Heubrandtner, Thomas; Prochazka, Wenzel

doi:10.3233/jae-2012-1526

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“…Yang and Zhang [16] presented the convergence and stability of three iterative finite element methods for thermally coupled incompressible MHD on 2D/3D bounded regions. Other practical applications of the incompressible MHD equations and the thermally coupled incompressible MHD equations can be referred to previous works [17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations

Guo

2023

Math Methods in App Sciences

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In this paper, a modified characteristics projection finite element method is proposed for the non‐stationary incompressible thermally couple MHD equations. The modified characteristics projection finite element method combines the modified characteristics finite element method with the projection method to verify the unconditional stability and optimal error estimation of velocity, pressure, magnetic field and temperature in the non‐stationary incompressible thermally couple MHD equations. In order to show the effectiveness of the proposed method, some numerical results are presented. The numerical results are consistent with our theoretical analysis, and our method is effective.

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Section: Introductionmentioning

confidence: 99%

A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations

Guo

2023

Math Methods in App Sciences

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Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations

2022

Computers & Fluids

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Combined electro-thermal analysis of Li-ion batteries applying the finite element method

Cited by 2 publications

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A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations

A modified characteristics projection finite element method for the non‐stationary incompressible thermally coupled MHD equations

Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations

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