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math.NA2020
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement
Zhichao Peng, Fengyan Li
We consider a linear kinetic transport equation under a diffusive scaling, that converges to a diffusion equation as the Knudsen number . In [3, 21], to ac…
math.NA2020★ 2 cited
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu +1
In our recent work [22], a family of high order asymptotic preserving (AP) methods, termed as IMEX-LDG methods, are designed to solve some linear kinetic transport equations, inclu…
math.NA2020★ 1 cited
An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation
Zhichao Peng, Qi Tang, Xian-Zhu Tang
In this work, we propose and develop an arbitrary-order adaptive discontinuous Petrov-Galerkin (DPG) method for the nonlinear Grad-Shafranov equation. An ultraweak formulation of t…