Randomized vector algorithm with iterative refinement for solving boundary integral equations

Sabelfeld Karl K. () and Agarkov Georgy ()
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Sabelfeld Karl K.: Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia
Agarkov Georgy: Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia

Monte Carlo Methods and Applications, 2024, vol. 30, issue 4, 375-388

Abstract: This study is a follow-up of two our papers (Appl. Math. Lett. 126 (2022) and MCMA 29:4 (2023)), where we developed a vector randomized algorithms with iterative refinement for large system of linear algebraic equations. We focus in this paper on the application of the vector randomized iterative refinement algorithm to boundary integral equations that solve interior Dirichlet and exterior Neumann boundary value problems for 2D Laplace equation.

Keywords: Boundary integral equations; randomized algorithm; matrix vector multiplication; large system of linear equations; matrix iterations; iterative refinement (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:mcmeap:v:30:y:2024:i:4:p:375-388:n:1008

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DOI: 10.1515/mcma-2024-2022

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