Fourier analysis of ultra weak local discontinuous Galerkin method for fourth-order linear equations
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.
fourth-order linear equationultra weak local discontinuous Galerkin methodFourier analysisstability analysiserror estimate
万方数据
维普
