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• W2621345202 abstract "Discontinuous Galerkin with finite difference rules (DGFD) is applied to mechanical plane stress state problem. The considered domain is discretized by polygonal mesh. The polygonal elements can be for example a hexagon, pentagon or just quadrangle or triangle. They do not have to be convex and a fish mesh, where the elements have fish shapes, is used. When the elements are rectangular then the orthogonality of Chebyshev basis functions can be utilized. In such a case very high-order approximate solution can be obtained. In this work the approximation order exceeds 10 and reaches 60, which in the latter case means 3600 numbers of degrees of freedom in a single element. The paper is illustrated by a benchmark example in which the exact solution is recovered by DGFD method for various meshes. In the other example the stress concentration is easily recovered by very high-order version of DGFD method." @default.
• W2621345202 created "2017-06-09" @default.
• W2621345202 creator A5021502759 @default.
• W2621345202 date "2017-08-01" @default.
• W2621345202 modified "2023-09-27" @default.
• W2621345202 title "Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements" @default.
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• W2621345202 doi "https://doi.org/10.1016/j.cma.2017.05.029" @default.
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