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Congratulations to our Head of Applied Mathematics, Professor Thanh Tran, upon the release of his new book "Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, opens in a new window".
Co-authored with Ernst P. Stephan, a retired professor of mathematics at Leibniz University Hannover, the book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations.
Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. These techniques are unique for the discretisation of first-kind integral equations since the resulting systems of linear equations are not only large and ill-conditioned, but also dense.
The book showcases state-of-the-art preconditioning techniques for boundary integral equations, presenting up-to-date research. It also includes a detailed discussion of Sobolev spaces of fractional orders to familiarise readers with important mathematical tools for the analysis. Furthermore, the concise overview of adaptive BEM, hp-version BEM, and coupling of FEM-BEM provides efficient computational tools for solving practical problems with applications in science and engineering.
The book can be purchased via Springer, opens in a new window.
Congratulations to Professor Tran upon the publication of his new book!
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