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- W1972506492 abstract "A finite element alternating-direction method is combined with a modified method of characteristics to solve convection-diffusion problems. This approach combines the attractive attributes of the modified method of characteristics with those of the alternating-direction method. For convection-dominated problems, the modified method of characteristics has much smaller time truncation errors than those of standard methods. Hence larger timesteps can be taken to integrate the convection-diffusion equation. The alternating-direction method reduces multidimensional problems to a series of uncoupled one-dimensional problems, which results in very low execution times and storage. The method has the ability to solve problems on curved structured grids. The accuracy of this procedure is demonstrated by linear and nonlinear convection dominated diffusion problems in two space dimensions. The procedure can be generalized to more than two dimensions." @default.
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- W1972506492 date "1989-12-01" @default.
- W1972506492 modified "2023-10-09" @default.
- W1972506492 title "A Finite Element Alternating-Direction Method Combined with a Modified Method of Characteristics for Convection-Diffusion Problems" @default.
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- W1972506492 doi "https://doi.org/10.1137/0726085" @default.
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