A fast Fourier–Galerkin method solving a system of integral equations for the biharmonic equation
Author:
Publisher
Rocky Mountain Mathematics Consortium
Subject
Applied Mathematics,Numerical Analysis
Reference37 articles.
1. [1] K. E. Atkinson, The numerical solution of integral equations of the second kind, Cambridge Monographs on Applied and Computational Mathematics 4, Cambridge University Press, 1997.
2. [2] E. M. Behrens and J. Guzmán, “A mixed method for the biharmonic problem based on a system of first-order equations”, SIAM J. Numer. Anal. 49:2 (2011), 789–817.
3. [3] M. Ben-Artzi, J.-P. Croisille, and D. Fishelov, “A fast direct solver for the biharmonic problem in a rectangular grid”, SIAM J. Sci. Comput. 31:1 (2008), 303–333.
4. [4] M. Ben-Artzi, I. Chorev, J.-P. Croisille, and D. Fishelov, “A compact difference scheme for the biharmonic equation in planar irregular domains”, SIAM J. Numer. Anal. 47:4 (2009), 3087–3108.
5. [5] B. Bialecki, “A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles”, J. Comput. Phys. 191:2 (2003), 601–621.
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