Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem

T Zhang - Applicable Analysis, 2023 - Taylor & Francis
The aim of this paper is to develop an unconditionally stable Euler implicit/explicit scheme
for the natural convection equations based on an introduced exponential scalar auxiliary …

Analysis of HDG method for the reaction-diffusion equations

S Sayari, A Zaghdani, M El Hajji - Applied Numerical Mathematics, 2020 - Elsevier
In this paper, we study and analyse the hybridized discontinuous Galerkin method for the
reaction-diffusion problem. We present a mixed formulation based on some operators with …

P0 time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws

J Shin, MY Kim - Computers & Mathematics with Applications, 2021 - Elsevier
A high order discontinuous Galerkin method with Lagrange multiplier (DGLM) in space
combined with discontinuous Galerkin (DG) method in time (DG-DGLM)[32] is numerically …

Arbitrary order DG-DGLM method for hyperbolic systems of multi-dimensional conservation laws

MY Kim - Computers & Mathematics with Applications, 2021 - Elsevier
An arbitrary order discontinuous Galerkin method in space and time is proposed to
approximate the solution to hyperbolic systems of multi-dimensional conservation laws …