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The LU factorization is the most time-consuming step in solving systems of linear equations in the context of analyzing acoustic scattering from large 3D objects. The matrix equation is obtained by discretizing the boundary integral of the exterior Helmholtz problem using a higher-order Nystr\u00f6m scheme. The main idea is to exploit the inherent data sparsity of the matrix operator by performing local tile-centric approximations while still capturing the most significant information. In particular, the proposed LU-based solver leverages the Tile Low-Rank (TLR) data compression format as implemented in the Hierarchical Computations on Manycore Architectures () library to decrease the complexity of \u201cclassical\u201d dense direct solvers from cubic to quadratic order. We taskify the underlying boundary integral kernels to expose fine-grained computations. We then employ the dynamic runtime system  to orchestrate the scheduling of computational tasks on shared and distributed-memory systems. The resulting asynchronous execution permits to compensate for the load imbalance due to the heterogeneous ranks, while mitigating the overhead of data motion. We assess the robustness of our TLR LU-based solver and study the qualitative impact when using different numerical accuracies. The new TLR LU factorization outperforms the state-of-the-art dense factorizations by up\u00a0to an order of magnitude on various parallel systems, for analysis of scattering from large-scale 3D synthetic and real geometries.\n<\/jats:p>","DOI":"10.1007\/978-3-030-50743-5_11","type":"book-chapter","created":{"date-parts":[[2020,6,15]],"date-time":"2020-06-15T19:03:45Z","timestamp":1592247825000},"page":"209-229","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Solving Acoustic Boundary Integral Equations Using High Performance Tile Low-Rank LU Factorization"],"prefix":"10.1007","author":[{"given":"Noha","family":"Al-Harthi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rabab","family":"Alomairy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kadir","family":"Akbudak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rui","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hatem","family":"Ltaief","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hakan","family":"Bagci","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Keyes","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,6,15]]},"reference":[{"key":"11_CR1","unstructured":"HiCMA (2017). https:\/\/github.com\/ecrc\/hicma"},{"issue":"3","key":"11_CR2","doi-asserted-by":"publisher","first-page":"C245","DOI":"10.1137\/18M1173599","volume":"41","author":"M Abduljabbar","year":"2019","unstructured":"Abduljabbar, M., et al.: Extreme scale FMM-accelerated boundary integral equation solver for wave scattering. 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