Abstract
An efficient, direct solution algorithm for a generalized biharmonic equation on a disk is described. The approximation is second order accurate and the computational work is essentially proportional to the number of grid points. This work is motivated by the usefulness of such a solver in the numerical study of a more complicated model equation describing nonlinear pattern formation near the onset of Rayleigh-Benard convection [1].
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Bjørstad, P. (1984). The Direct Solution of a Generalized Biharmonic Equation on a Disk. In: Hackbusch, W. (eds) Efficient Solutions of Elliptic Systems. Notes on Numerical Fluid Mechanics, vol 10. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14169-3_1
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DOI: https://doi.org/10.1007/978-3-663-14169-3_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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