Abstract
A reduced-order extrapolation algorithm based on Crank-Nicolson least-squares mixed finite element (CNLSMFE) formulation and proper orthogonal decomposition (POD) technique for two-dimensional (2D) Sobolev equations is established. The error estimates of the reduced-order CNLSMFE solutions and the implementation for the reduced-order extrapolation algorithm are provided. A numerical example is used to show that the results of numerical computations are consistent with theoretical conclusions. Moreover, it is shown that the reduced-order extrapolation algorithm is feasible and efficient for seeking numerical solutions to 2D Sobolev equations.
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Supported by the National Natural Science Foundation of China (11271127) and Science Research Project of Guizhou Province Education Department (QJHKYZ[2013]207).
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Liu, Q., Teng, F. & Luo, Zd. A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations. Appl. Math. J. Chin. Univ. 29, 171–182 (2014). https://doi.org/10.1007/s11766-014-3059-8
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DOI: https://doi.org/10.1007/s11766-014-3059-8