Abstract
In this chapter, methods are presented for the numerical solution of the integral equations. This includes discretisation and the fast and efficient solution of the system of equations.
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This can be also applied to potential problems with the rigid body motion being replaced by a potential that is constant over the whole boundary and where the flow must be zero.
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It should be noted here that for known values that have a simple variation we may even use lower order Lagrange polynomials for \(\bar{R}_{k}\) in which case \({\bar{\mathbf {u}}}_{k}^{e}\) or \( {\bar{\mathbf {t}}}_{k}^{e}\) are nodal values.
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Beer, G., Marussig, B., Duenser, C. (2020). Numerical Treatment of Integral Equations. In: The Isogeometric Boundary Element Method. Lecture Notes in Applied and Computational Mechanics, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-030-23339-6_6
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DOI: https://doi.org/10.1007/978-3-030-23339-6_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-23338-9
Online ISBN: 978-3-030-23339-6
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