Additive Average Schwarz with Adaptive Coarse Space for Morley FE

  • Salah AlrabeeiEmail author
  • Mahmood Jokar
  • Leszek Marcinkowski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12044)


We propose an additive average Schwarz preconditioner with two adaptively enriched coarse space for the nonconforming Morley finite element method for fourth order biharmonic equation with highly varying and discontinuous coefficients. In this paper, we extend the work of [9, 10]: (additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems). Our analysis shows that the condition number of the preconditioned problem is bounded independent of the jump of the coefficient, and it depends only on the ratio of the coarse to the fine mesh.


Additive average Schwarz Nonconforming finite element Domain decomposition methods Fourth order problems with highly varying coefficients 



The authors are deeply thankful for Prof. Talal Rahman for his invaluable comments, discussions, and suggestions in this work.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Salah Alrabeei
    • 1
    Email author
  • Mahmood Jokar
    • 1
  • Leszek Marcinkowski
    • 2
  1. 1.Department of Computing, Mathematics, and PhysicsWestern Norway University of Applied SciencesBergenNorway
  2. 2.Faculty of Mathematics, Informatics, and MechanicsUniversity of WarsawWarszawaPoland

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