GENERALIZED COMBINED FIELD INTEGRAL EQUATIONS FOR THE ITERATIVE SOLUTION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION
GENERALIZED COMBINED FIELD INTEGRAL EQUATIONS FOR THE ITERATIVE SOLUTION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION
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三维亥姆霍兹方程迭代解的广义组合场积分方程
DOI：
10.1051/m2an:2007009
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
M. Darbas
中科院分区：
文献类型：
--
作者：
X. Antoine;M. Darbas
本文推导了光滑闭曲面三维声散射问题的Krylov迭代解的新的第二类Fredholm组合场积分方程。这些积分方程需要引入适当的切向平方根算子来正则化公式。这些公式存在唯一性。它们可以被解释为著名的Brakhage-Werner [A. Brakhage和P. Werner，Arch.Math.16（1965）325-329]和组合场积分方程（CFIE）[R.F.哈灵顿和J.R. Mautz，Arch. Elektron. Ubertragungstech（AEU）32（1978）157-164]。最后通过数值实验验证了算法的有效性。
This paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a smooth closed surface. These integral equations need the introduction of suitable tangential square-root operators to regularize the formulations. Existence and uniqueness occur for these formulations. They can be interpreted as generalizations of the well-known Brakhage-Werner [A. Brakhage and P. Werner, Arch. Math. 16 (1965) 325-329] and Combined Field Integral Equations (CFIE) [R.F. Harrington and J.R. Mautz, Arch. Elektron. Ubertragungstech (AEU) 32 (1978) 157-164]. Finally, some numerical experiments are performed to test their efficiency.