Some results of mesh convergence estimation for the spectral element method of different orders in FIDESYS industrial package

11th International Conference on "Mesh methods for boundary-value problems and applications"

Karpenko, V.S.^1,2 ; Vershinin, A.V.^1,2 ; Levin, V.A.^1 ; Zingerman, K.M.^3

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Main Building, GSP-1, 1 Leninskiye Gory, Moscow

119991, Russia^1

Fidesys LLC, MSU Science Park, Leninskie Gory, Moscow

119234, Russia^2

Tver State University, 32 Zhelyabova, Tver

170100, Russia^3

关键词: Approximating polynomials;    Automated testing;    Computational error;    Exact solution;    Mesh convergence;    Spectral element;    Spectral element method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012049/pdf
DOI  :  10.1088/1757-899X/158/1/012049

来源: IOP

【 摘 要 】

The article describes the Mesh convergence estimation for the method of spectral elements of different orders in FIDESYS industrial package. Estimation is done using the automated testing system developed for FIDESYS package. The tasks with known exact solutions were used for estimation. By changing the spectral element order the exponential decrease computational errors is shown against the degree of approximating polynomials.