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Author (up) Fierro, I.; Jerez-Hanckes, C. doi  openurl
  Title Fast Calderon preconditioning for Helmholtz boundary integral equations Type
  Year 2020 Publication Journal Of Computational Physics Abbreviated Journal J. Comput. Phys.  
  Volume 409 Issue Pages 22 pp  
  Keywords Operator preconditioning; Calderon preconditioning; Helmholtz equations; Hierarchical matrices; Fast solvers; Boundary elements method  
  Abstract Calderon multiplicative preconditioners are an effective way to improve the condition number of first kind boundary integral equations yielding provable mesh independent bounds. However, when discretizing by local low-order basis functions as in standard Galerkin boundary element methods, their computational performance worsens as meshes are refined. This stems from the barycentric mesh refinement used to construct dual basis functions that guarantee the discrete stability of L-2-pairings. Based on coarser quadrature rules over dual cells and H-matrix compression, we propose a family of fast preconditioners that significantly reduce assembly and computation times when compared to standard versions of Calderon preconditioning for the three-dimensional Helmholtz weakly and hyper-singular boundary integral operators. Several numerical experiments validate our claims and point towards further enhancements. (C) 2020 Elsevier Inc. All rights reserved.  
  Address [Fierro, Ignacia] UCL, Dept Math, Gower St, London, England, Email:  
  Corporate Author Thesis  
  Publisher Academic Press Inc Elsevier Science Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0021-9991 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000522726000020 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1153  
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