Discontinuous Galerkin Finite Element Analysis of a Thermal coupling problem
DOI:
https://doi.org/10.5540/03.2022.009.01.0246Keywords:
Raviart-Thomas methods, Discontinuous Galerkin nite element, elliptical nonlinear problem, mixed methodsAbstract
In this work we use mixed formulations, based on the Raviart-Thomas (RTH) methods, considering the weak ow form between the elements of the nite element mesh. The thermal problem analyzed is an elliptical nonlinear problem. We propose a analysis, of model, considering the two elliptic coupled equations, in the mixed form and show numerical results which conrmoptimal convergence rates for the ows in H(div; Ω) and scalar variables in L2 (Ω).
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References
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