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- W2980444913 abstract "The main purpose of this paper is to describe a space-time discontinuous Galerin (DG) method based on an extended space-time approximation space for the linear first order hyperbolic equation that contains a high frequency component. We extend the space-time DG spaces of tensor-product of polynomials by adding trigonometric functions in space and time that capture the oscillatory behavior of the solution. We construct the method by combining the basic framework of the space-time DG method with the extended finite element method. The basic principle of the method is integrating the features of the partial differential equation with the standard space-time spaces in the approximation. We present error analysis of the space-time DG method for the linear first order hyperbolic problems. We show that the new space-time DG approximation has an improvement in the convergence compared to the space-time DG schemes with tensor-product polynomials. Numerical examples verify the theoretical findings and demonstrate the effects of the proposed method." @default.
- W2980444913 created "2019-10-25" @default.
- W2980444913 creator A5020567070 @default.
- W2980444913 date "2020-02-01" @default.
- W2980444913 modified "2023-09-27" @default.
- W2980444913 title "A space-time discontinuous Galerkin method for linear hyperbolic PDE's with high frequencies" @default.
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- W2980444913 doi "https://doi.org/10.31801/cfsuasmas.544522" @default.
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