Iterative algorithms for higher order finite element schemes
Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 117-128

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An iterative method for the solution of partial differential equation by higher order finite element method (FEM) on unstructured grids is presented. The algorithms corresponding to lagrangean and hierarchical FEM bases are designed and studied. The results of numerical experiments for a set of the problems (diffusion, convection-diffusion, Euler, Navier–Stokes) are given to show capability of the algorithms.
@article{MM_2004_16_7_a11,
     author = {V. T. Zhukov and O. B. Feodoritova and D. P. Young},
     title = {Iterative algorithms for higher order finite element schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--128},
     publisher = {mathdoc},
     volume = {16},
     number = {7},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_7_a11/}
}
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V. T. Zhukov; O. B. Feodoritova; D. P. Young. Iterative algorithms for higher order finite element schemes. Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 117-128. http://geodesic.mathdoc.fr/item/MM_2004_16_7_a11/