3 citations · 7 across the 7 of their papers we have counts for
7 papers
Numerical Study of Eigenvector Deflation to Accelerate the WaveHoltz Method
Daniel Appelo, William D. Henshaw, Zhichao Peng
We present a numerical study of eigenvector deflation as a means of accelerating the WaveHoltz method for solving the Helmholtz equation. For energy-conserving (Dirichlet or Neuman…
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation
Zhichao Peng, Yanlai Chen, Yingda Cheng +1
Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability d…
A learning-based projection method for model order reduction of transport problems
Zhichao Peng, Min Wang, Fengyan Li
The Kolmogorov -width of the solution manifolds of transport-dominated problems can decay slowly. As a result, it can be challenging to design efficient and accurate reduced ord…
A reduced basis method for radiative transfer equation
Zhichao Peng, Yanlai Chen, Yingda Cheng +1
Linear kinetic transport equations play a critical role in optical tomography, radiative transfer and neutron transport. The fundamental difficulty hampering their efficient and ac…
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…
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…
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…