Mesh-free methods and time integrations for transient heat conduction

  • V. Sladek Institute of Construction and Architecture, Slovak Academy of Sciences
  • J. Sladek Institute of Construction and Architecture, Slovak Academy of Sciences
  • C. Zhang Department of Civil Engineering, University of Siegen

Abstract

The paper deals with transient heat conduction in functionally gradient materials. The spatial variation of the temperature field is approximated by using alternatively two various mesh free approximations, while the time dependence is treated either by the Laplace transform method and/or by the polynomial interpolation in the time stepping method. The accuracy and convergence of the numerical results as well as the computational efficiency of various approaches are compared in numerical test example.

Keywords

heat transfer, boundary value problems, numerical analysis, integral equations, meshless methods,

References

Published
Jan 25, 2017
How to Cite
SLADEK, V.; SLADEK, J.; ZHANG, C.. Mesh-free methods and time integrations for transient heat conduction. Computer Assisted Methods in Engineering and Science, [S.l.], v. 18, n. 1–2, p. 115–128, jan. 2017. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/124>. Date accessed: 10 dec. 2022.
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Articles