On a fast direct elliptic solver by a modified Fourier method |
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Authors: | Averbuch A Vozovoi L Israeli M |
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Institution: | (1) School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel;(2) Faculty of Computer Science, Technion, Haifa, 32000, Israel |
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Abstract: | We describe high order numerical algorithms for the solution of second order elliptic equations in rectangular domains. These
algorithms are based on the Fourier method in combination with a subtraction procedure. The singularities at the corner points,
arising due to non-smoothness of the boundaries, are treated explicitly using properly constructed singular corner functions.
The present algorithm is a generalization of the Fast Poisson Solver developed in our previous paper.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | Helmholtz equation Fourier method fast solver subtraction technique corner singularities |
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