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Conservative domain decomposition schemes for solving two-dimensional heat equations

  • Zhongguo ZhouEmail author
  • Lin Li
Article
  • 63 Downloads

Abstract

In this paper, by combining the operator splitting technique, a new mass-conserved domain decomposition method for two-dimensional heat equations is proposed. Along the each direction, the interface fluxes are first calculated from the explicit fluxes, then the sub-domain’s interior solutions are paralelly computed by the C–N implicit scheme. The scheme is stable under the condition \(r\le 2(\sqrt{6}-2)\) and the corresponding convergence order of the scheme are given in \(L^2\)-norm. Numerical results confirm the theoretical results.

Keywords

Mass-conserved Domain decompositions Interface fluxes \(L^2\)-norm 

Mathematics Subject Classification

65M06 65M12 65M55 76S05 

Notes

Acknowledgements

This work was supported by Natural Science Foundation of China (Grant Nos. 6170325, 61503227), and Natural Science Foundation of Shandong Government (Grant Nos. ZR2017BA029, ZR2017BF002), Shandong Agricultural University (Grant No. xxxy201704), and National natural science foundation funding project application for key subject.

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  1. 1.School of Information Science and EngineeringShandong Agricultural UniversityTaianChina
  2. 2.School of Resources and EnvironmentShandong Agricultural UniversityTaianChina

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