To avoid computing a double integral when simulating the acoustic field diffracted by a finite-sized hard reflector, its surface is discretized into many elements, and then each element is treated as a point-like reflector. The total acoustic field diffracted by the finite-sized hard reflector is calculated by adding the acoustic fields diffracted by each element. The efficiency of this approach over numerically computing the double integral boundary equation has been shown within an isogeometric analysis framework.
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Ahlem Baaziz (2025) studied this question.
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