Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection–Diffusion Problems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0687-9
Abstract: In this paper, we present and analyze implicit a posteriori error estimates for the local discontinuous Galerkin (LDG) method applied to nonlinear convection–diffusion problems in one space dimension. Optimal a priori error estimates for the… read more here.
Keywords: estimates local; error; local discontinuous; solution ... See more keywords
A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.11.003
Abstract: Abstract In this paper, a fully discrete Local discontinuous Galerkin (LDG) method is discussed for a time-fractional reaction diffusion initial-boundary value problem with discontinuous diffusive coefficient. In this method the well-known L2- 1 σ scheme… read more here.
Keywords: discontinuous galerkin; time fractional; time; method ... See more keywords
On a numerical investigation of the time fractional Fokker– Planck equation via local discontinuous Galerkin method
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2016.1247442
Abstract: ABSTRACT This paper presents two numerical solutions of time fractional Fokker– Planck equations (TFFPE) based on the local discontinuous Galerkin method (LDGM). Two time-discretization schemes for the fractional order part of TFFPE are investigated. The… read more here.
Keywords: fokker planck; discontinuous galerkin; time fractional; time ... See more keywords
An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12030227
Abstract: For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points. The adaptive approach, which uses Poly-Sinc interpolation to achieve a… read more here.
Keywords: local discontinuous; poly sinc; discontinuous galerkin;