Efficient 3-D Finite Element Modeling of Periodic XBAR Resonators

Hongliang Li, Julius Koskela, Jackson W. Massey, Balam Willemsen, Jian Ming Jin

Research output: Contribution to journalArticlepeer-review


An efficient technique is presented for 3-D finite element modeling of large-scale periodic excited bulk acoustic resonator (XBAR) resonators in the time-harmonic domain. In this technique, a domain decomposition scheme is used to decompose the computational domain into many small subdomains whose FE subsystems can be factorized with a direct sparse solver at a low cost. Transmission conditions (TCs) are enforced to interconnect adjacent subdomains, and a global interface system is formulated and solved iteratively. To accelerate the convergence, a second-order TC (SOTC) is designed to make the subdomain interfaces transparent for propagating and evanescent waves. An effective forward-backward preconditioner is constructed that when combined with the SOTC significantly reduce the number of iterations at no additional cost. Numerical results are given to demonstrate the accuracy, efficiency, and capability of the proposed algorithm.

Original languageEnglish (US)
Pages (from-to)759-771
Number of pages13
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number7
StatePublished - Jul 1 2023
Externally publishedYes


  • Acoustic wave (AW) resonators
  • domain decomposition method (DDM)
  • efficient numerical modeling
  • finite element method (FEM)
  • finite element tearing and interconnecting (FETI)

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics


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