为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
分析了实空间离散格林函数的特点和平面声全息重构卷积计算的特殊性，推导了在重构条件下二维循环卷积与重构卷积的关系。
Characteristics of the discrete real-space Green′s function and particularities of the discrete algorithm of the planar acoustical holography reconstruction convolution are analyzed.
使用离散复镜像方法(DCIM)快速得到平面分层介质的空间域的闭式格林函数，避免了费时的索末菲尔德积分。
To avoid calculating the time-consuming Sommerfeld's integrals, the discrete complex image method (DCIM) is employed to obtain spatial domain closed-form Greens function for planar-layered media.
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