@article{Malovichko_Khokhlov_Yavich_Zhdanov_2016, title={Parallel algorithm for 3D modeling of monochromatic acoustic field by the method of integral equations}, volume={3}, url={https://superfri.org/index.php/superfri/article/view/120}, DOI={10.14529/jsfi160406}, abstractNote={<p>We present a parallel algorithm for solution of the three-dimensional Helmholtz equation in the frequency domain by the method of volume integral equations. <br />The algorithm is applied to seismic forward modeling. <br />The method of integral equations reduces the size of the problem by dividing the geologic model into the anomalous and background parts, but leads to a dense system matrix. <br />A tolerable memory consumption and numerical complexity were achieved by applying an iterative solver, accompanied by an effective matrix-vector multiplication operation, based on the fast Fourier transform. <br />We used OpenMP to speed up the matrix-vector multiplication, while MPI was used to speed up the equation system solver, and also for parallelizing across multiple sources. <br />Practical examples and efficiency tests are presented.</p>}, number={4}, journal={Supercomputing Frontiers and Innovations}, author={Malovichko, Mikhail S. and Khokhlov, Nikolay E. and Yavich, Nikolay B. and Zhdanov, Michael S.}, year={2016}, month={Oct.}, pages={74–78} }