CAJ | 학술논문

针对一类开腔体时谐散射问题提出一种有效的数值算法。该算法先对计算区域进行简单剖分，再利用 Fourier-Bessel 函数和平面波函数去近似解的局部性态，并利用散射场的多极展开式逼近解在无穷远处的性态；然后借助最小二乘算法迫使数值解在子区域内边界处近似满足连续性条件。数值模拟验证了算法的有效性。
침대일류개강체시해산사문제제출일충유효적수치산법。해산법선대계산구역진행간단부분，재이용 Fourier-Bessel 함수화평면파함수거근사해적국부성태，병이용산사장적다겁전개식핍근해재무궁원처적성태；연후차조최소이승산법박사수치해재자구역내변계처근사만족련속성조건。수치모의험증료산법적유효성。
A numerical method was proposed for time harmonic scattering of an open cavity.The computational domain was partitioned firstly.Then on subdomains Fourier-Bessel functions and plane wave functions were used to approximate the local properties of the solution,and scattered field toward infinite was approximated by a multipole expansion.Then the continuity across the inner interfaces between elements was enforced by the least squares scheme.Finally,the effectiveness of the approach was demonstrated by numerical example.