• a comparison between a symmetric and a non-symmetric galerkin finite element—boundary integral equation coupling for the two-dimensional exterior stokes problem

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 650
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     symmetric and non-symmetric galerkin formulations are presented for the coupling of a finite element modelled interior region to a boundary integral supported exterior region for the two-dimensional steady state exterior stokes problem. both single and double-layer hydrodynamic potentials are used allowing a well conditioned symmetric matrix structure for the entire interior–exterior, velocity–pressure system when the exterior velocity boundary integral equation (vbie) is augmented by a traction boundary integral equation (tbie) with the pressure determined everywhere purely through the imposition of the divergence-free velocity condition. corresponding non-symmetric formulations are obtained by additionally discretizing an associated pressure boundary integral equation (pbie), where the associated kernel functions have singularities an order higher than in the vbie, with a simple regularization of the new hyper-singular pressure kernel. comparable solution convergence with mesh refinement for the symmetric and non-symmetric schemes is shown for stabilized and mixed velocity–pressure conforming finite element pairs using lagrangian shape functions.

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