Hybrid equilibrium finite elements for wave diffraction problems

Z. M. Wang, M. L. Peterson, Ya M. Grigorenko

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Hybrid equilibrium finite elements based on the direct approximation of the domain stress and boundary displacement fields are presented. The structure is divided into a far field, which is considered as an infinite super element, and a near field, which is in turn discretized into finite elements. The displacements in the domains of typical finite elements are obtained from the assumed domain stress field by using the dynamic equilibrium equations. The Helmholtz equation is satisfied in the domain of the infinite super element, and the domain stress fields are associated with elastic and compatible displacements. The resulting governing system is symmetric, sparse, and, if well done, positive. Numerical applications are presented to illustrate the performance of the formulation.

Original languageEnglish
Pages (from-to)1106-1114
Number of pages9
JournalInternational Applied Mechanics
Issue number9
StatePublished - Sep 2003


  • Far field
  • Helmholtz equation
  • Hybrid equilibrium finite elements
  • Near field
  • Resulting governing system
  • Wave diffraction problem

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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