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- W3207334890 abstract "Abstract In this paper, given a linear system of equations $$mathbf {A}, mathbf {x}= mathbf {b}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>A</mml:mi> <mml:mspace /> <mml:mi>x</mml:mi> <mml:mo>=</mml:mo> <mml:mi>b</mml:mi> </mml:mrow> </mml:math> , we are finding locations in the plane to place objects such that sending waves from the source points and gathering them at the receiving points solves that linear system of equations. The ultimate goal is to have a fast physical method for solving linear systems. The issue discussed in this paper is to apply a fast and accurate algorithm to find the optimal locations of the scattering objects. We tackle this issue by using asymptotic expansions for the solution of the underlying partial differential equation. This also yields a potentially faster algorithm than the classical BEM for finding solutions to the Helmholtz equation." @default.
- W3207334890 created "2021-10-25" @default.
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- W3207334890 date "2021-10-14" @default.
- W3207334890 modified "2023-10-16" @default.
- W3207334890 title "Optimal design of optical analog solvers of linear systems" @default.
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- W3207334890 doi "https://doi.org/10.1007/s42985-021-00092-w" @default.
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