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- W1982070415 abstract "The fictitious domain method is applied to construct a difference scheme for the first boundary-value problem for elliptical equations of second order in domains of arbitrary shape. The rate of convergence bound $$parallel hat y - bar uparallel _{W_2^1 (Omega _0 )} leqslant Mh^{frac{1}{3}} parallel fparallel _{L_2 (Omega )} ,$$ is proved, where ŷ is the polylinear extension of the solution of the difference problem, ū is the solution of the original problem continued as zero in Ω 1 ,and Ω 1 is the complement of the domain Ωto the rectangle Ω 0 ." @default.
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- W1982070415 date "1994-11-01" @default.
- W1982070415 modified "2023-09-27" @default.
- W1982070415 title "Convergence bounds of difference schemes for secondorder elliptical equations in domains of arbitrary shape" @default.
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- W1982070415 doi "https://doi.org/10.1007/bf01259471" @default.
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