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Generalization of adaptive cross approximation for time‐domain boundary element methods
Author(s) -
Haider Anita Maria,
Schanz Martin
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900072
Subject(s) - boundary element method , generalization , boundary (topology) , domain (mathematical analysis) , mathematics , approximation algorithm , mathematical analysis , element (criminal law) , scheme (mathematics) , algorithm , finite element method , physics , political science , law , thermodynamics
A numerical approach to the solution of the wave equation is performed by means of the boundary element method. In the interest of increasing the efficiency of this method a low‐rank approximation such as the adaptive cross approximation is carried out. We discuss a generalization of the adaptive cross approximation to approximate a three‐dimensional array of data. In particular, we perform an approximation of an array of boundary element matrices in the Laplace domain. The proposed scheme is illustrated by preliminary numerical experiments.