4.7 Article

Optimal error estimate of discontinuous Galerkin methods for advection-diffusion-reaction problems with low regularity

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 140, Issue -, Pages 282-290

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2022.11.005

Keywords

Finite element methods; A priori error estimate; Discontinuous Galerkin methods

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In this paper, a class of discontinuous Galerkin finite element methods for advection-diffusion-reaction problems is presented, and a priori error estimates are established when the solution is only in H1+s (Omega) space with s is an element of(0, 1/2].
In this paper, we present a class of discontinuous Galerkin finite element methods for advection-diffusion-reaction problems and establish a priori error estimates when the solution is only in H1+s (Omega) with s is an element of(0, 1/2].

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