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- W1964794014 abstract "This chapter presents an approach to obtain the approximate solution of differential equations. In the class of direct methods, the finite element method (FEM) has been applied most extensively, in which the computational domain is partitioned into elements to give a piecewise approximation to the solution, and then parameters contained in the approximate expression are determined based on the requirement of stationarity of the integral functional. Theoretical basis of the FEM is that, if the elements are both complete and compatible, the solution has the property of monotone convergence—that is, by taking the norm (with a certain definition) as a measure, accuracy will be improved with increasing number of elements. Piecewise approximation of plane problems and convergence of FEM solutions is presented in the chapter. FEM for 2-D unsteady open flows and several classes of special FEMS are also described." @default.
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- W1964794014 date "1987-08-01" @default.
- W1964794014 modified "2023-09-27" @default.
- W1964794014 title "Finite element methods for hyperbolic equations" @default.
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- W1964794014 doi "https://doi.org/10.1016/0167-7977(87)90012-8" @default.
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