The Fourier error analysis of ultra weak local discontinuous Galerkin method for fourth-order linear equations is studied.The ultra weak local discontinuous Galerkin space discretization scheme for fourth-order linear equations is first presented,and the discretization scheme in difference form under periodic boundary and uniform grid conditions is gived.Then,in the case of k=2,the stability and error estimate are analyzed using Fourier analysis method.Finally,numerical experiments are used to verify the results obtained.
关键词
四阶线性方程/极弱局部间断Galerkin/傅里叶分析/稳定性分析/误差估计
Key words
fourth-order linear equation/ultra weak local discontinuous Galerkin method/Fourier analysis/stability analysis/error estimate
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