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- W2033071189 abstract "Galerkin alternating-direction procedures are considered for the nonlinear parabolic equation [ u_t - sum_{i,j = 1}^N {frac{partial } {{partial xi _i }}} left( {tilde a_{ij} (xi ,u)frac{{partial u}} {{partial xi_{j} }}} right) + sum_{i = 1}^N {tilde b_i (xi ,u)frac{{partial u}} {{partial xi _i }}} = f(xi ,t,u), ] which is given on a nonrectangular, curved region. We use isoparametric elements and an approximation to the Jacobian of the isoparametric map which is based on patches of finite elements. With these procedures, a multidimensional problem can be solved as a series of one-dimensional problems. Optimal order $L^2$- and $H^1$-error estimates as well as optimal order work estimates are derived." @default.
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- W2033071189 date "1981-08-01" @default.
- W2033071189 modified "2023-10-14" @default.
- W2033071189 title "Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations" @default.
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- W2033071189 doi "https://doi.org/10.1137/0718041" @default.
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