Accuracy enhancement of discontinuous Galerkin methods for stiff source terms
نویسندگان
چکیده
Discontinuous Galerkin (DG) methods exhibit ”hidden accuracy” that makes the superconvergence of this method an increasing popular topic to address. Previous work has implemented a convolution kernel approach that allows us to improve the order of accuracy from k+1 to order 2k+m for time-dependent linear convection-diffusion equations, where k is the highest degree polynomial used in the approximation and m depends upon the choice of the numerical flux. Additionally, we are able to obtain similar convergence for smooth solutions to nonlinear hyperbolic equations [3, 4]. In this talk, we discuss how this accuracy enhancing technique may be applied to linear hyperbolic equations with stiff source terms,
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