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- W4299423439 abstract "Optimally convergent (with respect to the regularity) quadratic finite element method for two dimensional obstacle problem on simplicial meshes is studied in (Brezzi, Hager, Raviart, Numer. Math, 28:431--443, 1977). There was no analogue of a quadratic finite element method on tetrahedron meshes for three dimensional obstacle problem. In this article, a quadratic finite element enriched with element-wise bubble functions is proposed for the three dimensional elliptic obstacle problem. A priori error estimates are derived to show the optimal convergence of the method with respect to the regularity. Further a posteriori error estimates are derived to design an adaptive mesh refinement algorithm. Numerical experiment illustrating the theoretical result on {em a priori} error estimate is presented." @default.
- W4299423439 created "2022-10-02" @default.
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- W4299423439 date "2016-11-08" @default.
- W4299423439 modified "2023-10-02" @default.
- W4299423439 title "Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem" @default.
- W4299423439 doi "https://doi.org/10.48550/arxiv.1611.02807" @default.
- W4299423439 hasPublicationYear "2016" @default.
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