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• W2073378438 abstract "In this paper we numerically solve both the direct and the inverse Cauchy problems of biharmonic equation by using a multiple-scale Trefftz method (TM). The approximate solution is expressed to be a linear combination of T-complete bases, and the unknown coefficients are determined to satisfy the boundary conditions, by solving a resultant linear equations system. We introduce a better multiple-scale in the T-complete bases by using the concept of equilibrated norm of the coefficient matrix, such that the explicit formulas of these multiple scales can be derived. The condition number of the coefficient matrix can be significantly reduced upon using these better scales; hence, the present multiple-scale Trefftz method (MSTM) can effectively solve the inverse Cauchy problem without needing of the overspecified data, which is an incomplete Cauchy problem. Numerical examples reveal the efficiency that the new method can provide a highly accurate numerical solution even the problem domain might have a corner singularity, and the given boundary data are subjected to a large random noise." @default.
• W2073378438 created "2016-06-24" @default.
• W2073378438 creator A5090276712 @default.
• W2073378438 date "2013-11-01" @default.
• W2073378438 modified "2023-09-27" @default.
• W2073378438 title "A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation" @default.
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• W2073378438 doi "https://doi.org/10.1016/j.enganabound.2013.07.011" @default.
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