Abstract
Mathematical theorems on uniform convergence of the boundary solution and stability of the computing scheme are proved for the approximation of a singular boundary integral equation using a time-dependent fundamental solution for two-dimensional isotropic heat conduction problems with non-isothermal boundary conditions. Discussions are extended to efficient numerical techniques developed for the transient boundary solution of problems having singular points and for the solution of external problems. The zoning technique and the double node technique are used together with linear boundary elements. Specific examples involving re-entrant corners and the external region of a circle are considered to show high accuracy of the boundary element solution.
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© 1987 Springer-Verlag Berlin, Heidelberg
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Iso, Y., Takahashi, S., Onishi, K. (1987). Numerical Convergence of Boundary Solutions in Transient Heat Conduction Problems. In: Brebbia, C.A. (eds) Computational Aspects. Topics in Boundary Element Research, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82663-4_1
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DOI: https://doi.org/10.1007/978-3-642-82663-4_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82665-8
Online ISBN: 978-3-642-82663-4
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