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- W2372182489 abstract "The most difficult problem of solving partial differential equations(PDEs) is that the decoupling degrees of discrete equations become higher and higher while the scale is increasing,which results in the low computational efficiency and precision.An operator custom-design decoupling algorithm was proposed to solve this problem.The multiresolution finite element space and wavelet refinement relation were constructed.The operator custom-design wavelets and decoupling condition were proposed based on the lifting scheme.The distinguished feature of the construction method is that the wavelets can be designed depending on the requirements of engineering problems.A multiscale operator custom-design wavelet decoupling algorithm was presented for solving PDEs,which uses both the nested approximation and scale decoupling feature.Numerical example demonstrates that the operator custom-design decoupling algorithm is highly efficient and accurate." @default.
- W2372182489 created "2016-06-24" @default.
- W2372182489 creator A5031138415 @default.
- W2372182489 date "2013-01-01" @default.
- W2372182489 modified "2023-09-27" @default.
- W2372182489 title "Operator Custom-Design Decoupling Algorithm for Partial Differential Equations" @default.
- W2372182489 hasPublicationYear "2013" @default.
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