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- W4200136579 abstract "The aim of this paper is to simulate the two-dimensional stationary Stokes problem. In vorticity-Stream function formulation, the Stokes problem is reduced to a biharmonic one; this approach leads to a formulation only based on the stream functions and therefore can only be applied to two-dimensional problems. The idea developed in this paper is to use the discretization of the Laplace operator by the nonconforming [Formula: see text] finite element. For the solutions which admit a regularity greater than [Formula: see text], in the general case, the convergence of the method is shown with the techniques of compactness. For solutions in [Formula: see text] an error estimate is proved, and numerical experiments are performed for the steady-driven cavity problem." @default.
- W4200136579 created "2021-12-31" @default.
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- W4200136579 date "2021-12-09" @default.
- W4200136579 modified "2023-09-23" @default.
- W4200136579 title "Nonconforming P1 Finite Element for the Biharmonic Problem and Its Application to Stokes Problem" @default.
- W4200136579 doi "https://doi.org/10.1142/s0219876221500699" @default.
- W4200136579 hasPublicationYear "2021" @default.
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