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Abstract The Hierarchical Dual Reciprocity Method (H - DRM) is proposed, which is applied for accelerating Dual Reciprocity Boundary Element Method (DRBEM) procedure and save computer memory during computation. Through applying low rank approximation with Adaptive Cross Approximation (ACA) algorithm for admissible blocks, the computer memory consumption will be saved significantly, and the scale of data involved in computation will diminish greatly. With respect to the different requirement about efficiency and scale, two different evaluation strategies are proposed --- pure hierarchical matrices method (PHDM) and mixed hierarchical matrices method (MHDM) --- to improve effect of H - DRM. Some numerical examples are presented in the last section for validation effect of the proposed methodology.
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Received: 28 August 2013
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2014, Vol. 35 
