Quasi-least-squares finite element method for steady flow and heat transfer with system rotation

Danping Yang, Liqiu Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


Two quasi-least-squares finite element schemes based on L 2 inner product are proposed to solve a steady Navier-Stokes equations, coupled to the energy equation by the Boussinesq approximation and augmented by a Coriolis forcing term to account for system rotation. The resulting nonlinear systems are linearized around a characteristic state, resulting in linearized least-squares models that yield algebraic systems with symmetric positive definite coefficient matrices. Existence of solutions are investigated and a priori error estimates are obtained. The performance of the formulation is illustrated by using a direct iteration procedure to treat the nonlinearities and shown theoretical convergent rate for general initial guess.

Original languageEnglish
Pages (from-to)377-411
Number of pages35
JournalNumerische Mathematik
Issue number3
Publication statusPublished - 2006
Externally publishedYes


  • Convergence analysis
  • Heat transfer
  • Quasi-least-squares finite element scheme
  • Steady Navier-Stoke equations
  • System rotation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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