G. Birkhoff, C. de Boor, B. Swarts, and B. Wendroff, Rayleigh - Ritz approximation by piecewise polynomials, SIAM Journal on Numerical Analysis 3 (1966), 188--203. Home/Search Document Not in Database Summary Related Articles |
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Eigenvalue Solvers for Electromagnetic Fields in Cavities - Adam, Arbenz, Geus (1997) (2 citations) (Correct)
....appearing in (5.5) and (5.6) are in general only known approximately. However, C 1;1 = Gamma2 , see [2] If the eigenmodes satisfy the above smoothness assumption, the distance of the approximate eigenmodes to an exact one decreases with the same order O(h k ) as the interpolation error [8], 54, x6.3] The approximate eigenvalues of the discretized problem (5.3) or (5.4) converge with order h 2k from above towards the exact eigenvalues of (4.2) with equal s. Because the eigenvalue convergence is monotonic, the approximate eigenvalues in the interval (0; s 1( Omega Gamma5 ....
G. Birkhoff, C. de Boor, B. Swarts, and B. Wendroff, Rayleigh - Ritz approximation by piecewise polynomials, SIAM Journal on Numerical Analysis 3 (1966), 188--203.
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