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Application of AMG to the numerical simulation of 3D ultrasonic transducers

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • E. Heikkola

    (University of Jyväskylä, Department of Mathematical Information Technology)

  • J. Martikainen

    (University of Jyväskylä, Department of Mathematical Information Technology)

Abstract

Summary We consider the application of an algebraic multigrid method (AMG) to the numerical simulation of ultrasonic transducers. This method can be applied efficiently both to the solution of resonance problems and to the transient simulation of a transducer. We use an added mass formulation to compute the resonance modes of a transducer coupled to incompressible fluid. For the solution of this formulation, we introduce an efficient iterative procedure with an AMG-based preconditioner. Transient simulation with the central difference scheme requires the solution of a potential equation on each time-step, which can also be performed by the AMG method. We report numerical results on the efficiency and accuracy of the computations.

Suggested Citation

  • E. Heikkola & J. Martikainen, 2003. "Application of AMG to the numerical simulation of 3D ultrasonic transducers," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 949-956, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_86
    DOI: 10.1007/978-88-470-2089-4_86
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