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• W4313596129 abstract "Abstract The LL*‐method is a least‐squares finite element approach producing an approximation by solving dual problem corresponding to the given partial differential equations. Due to the unique structure of LL* approximation, it has advantages if the problem has low regularities and when L 2 ‐approximation needs to be established. As a drawback, piecewise polynomial type approximation often generates artifacts such as spurious oscillations near where shocks or discontinuities occur in solution. Allowing discontinuous piecewise polynomial approximation in LL* seems to exacerbate this trouble. This paper presents a stabilized LL*‐method that is designed to effectively reduce these oscillatory behavior. The consistency and error convergence of proposed method are analyzed and numerical examinations are performed." @default.
• W4313596129 created "2023-01-06" @default.
• W4313596129 creator A5003029603 @default.
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• W4313596129 date "2023-01-04" @default.
• W4313596129 modified "2023-09-26" @default.
• W4313596129 title "Dual least‐squares finite element method with stabilization" @default.
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• W4313596129 doi "https://doi.org/10.1002/num.22996" @default.
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