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In this paper we consider the stable P1 P1 finite element pair solving the Stokes eigenvalue problem and derive some superconvergence results based on the interpolation post processing technique Firstly we derive the superclose property of the interpolation function Then a superconvergence result of O h^3/2 order for the pressure approximation and the velocity gradient approximation
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Get PriceFinally we illustrate the analysis with some numerical experiments January 29 2022 Juan Wen Pengzhan Huang Ya Ling He The Two Level Stabilized Finite Element Method Based on Multiscale Enrichment for the Stokes Eigenvalue Problem In this paper we first propose a new stabilized finite element method for the Stokes eigenvalue problem
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Get PriceKaran Kumar Pradhan Snehashish Chakraverty in Computational Structural Mechanics 2022 Background The concept of the Finite Element Method FEM was coined by Clough in the early 1960s in his infamous book entitled The finite element method in plane stress analysis In Turner et al 1956 the application of finite elements has been presented for the analysis of aircraft
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Get Price3 Finite Element Method Approaches The finite element method has been most extensively used in the field of solid and structural mechanics The various types of problems solved by the finite element method in this field include the elastic elastoplastic and viscoelastic analysis of trusses frames plates shells and solid bodies
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