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A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem |
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| Authors: | SeRan Jun Sungkwon Kang YongHoon Kwon |
| Affiliation: | 1. University of California at Berkeley, 230 Calvin, #5230, 94720-5230, Berkeley, CA, USA 2. Department of Mathematics, Chosun University, 501-759, Gwangju, South Korea 3. Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, South Korea |
| 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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