Improved multi-level Newton solvers for fully coupled multi-physics problems

J. Y. Kim, N. R. Aluru, D. A. Tortorelli

Research output: Contribution to journalArticlepeer-review


An algorithm is suggested to improve the efficiency of the multi-level Newton method that is used to solve multi-physics problems. It accounts for fulll coupling between the subsystems by using the direct differentiation method rather than error prone finite dilfference calculations and retains the advantage of greater flexibility over the tightly coupled approaches. Performance of the algorithm is demonstrated by solving a fluid-structure interaction problem.

Original languageEnglish (US)
Pages (from-to)463-480
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Issue number3
StatePublished - Sep 21 2003


  • Fluid-structure interaction
  • Multi-level Newton method
  • Multi-physics analysis

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics


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