Abstract
A direct solver for the Legendre tau approximation for the two dimensional Poisson problem is proposed. Using the factorization of symmetric eigenvalue problem, the algorithm overcomes the weak points of the Schur decomposition and the conventional diagonalization techniques for the Legendre tau approximation. The convergence of the method is proved and numerical results are presented.
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The research of this author was supported by Chosun University Research Funds 2005
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Jun, S., Kang, S. & Kwon, Y. A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem. J. Appl. Math. Comput. 23, 25–42 (2007). https://doi.org/10.1007/BF02831956
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DOI: https://doi.org/10.1007/BF02831956