Multi-scale approach for conduction heat transfer: one- and two-equation models

Moyne, Christian; Souto, Helio Pedro Amaral

doi:10.1007/s40314-013-0059-x

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…Considering that the problem is time-dependent, evaluating the solution process over refined meshes and for many hundreds or thousands of time steps can become a serious numerical burden. is can be a significant numerical challenge in two-dimensional problems and even more so in three dimensions [13][14][15][16]. Our paper mainly completes the investigations of [12][13][14][15][16][17][18], in the case of time-dependent diffusion problems.…”

Section: Introductionsupporting

confidence: 58%

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A New Numerical Method to Solve Some ${PDE}_{s}$ in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Malek

Ziti

2021

International Journal of Differential Equations

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In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. The proposed method is adequate even with the singular right-hand side of type Dirac.

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