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20202026
most citedAn adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD

12 citations · 14 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.NA2026

An Efficient Solver for Finite Element-based Constrained Transport in 3D Magnetohydrodynamics Applied to Magnetic Confinement Fusion

Golo A. Wimmer, Konstantin Lipnikov, Ben S. Southworth +1

We present an efficient solver framework for the stiff magnetic wave coupling arising in resistive magnetohydrodynamics (MHD) on realistic tokamak geometries. The approach builds o…

math.NA2024★ 1 cited

An adaptive Newton-based free-boundary Grad-Shafranov solver

Daniel A. Serino, Qi Tang, Xian-Zhu Tang +2

Equilibria in magnetic confinement devices result from force balancing between the Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a tokamak,…

math.NA2023

Denoising Particle-In-Cell Data via Smoothness-Increasing Accuracy-Conserving Filters with Application to Bohm Speed Computation

Matthew J. Picklo, Qi Tang, Yanzeng Zhang +2

The simulation of plasma physics is computationally expensive because the underlying physical system is of high dimensions, requiring three spatial dimensions and three velocity di…

math.NA2023

Scalable Implicit Solvers with Dynamic Mesh Adaptation for a Relativistic Drift-Kinetic Fokker-Planck-Boltzmann Model

Johann Rudi, Max Heldman, Emil M. Constantinescu +2

In this work we consider a relativistic drift-kinetic model for runaway electrons along with a Fokker-Planck operator for small-angle Coulomb collisions, a radiation damping operat…

math.NA2020

A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem

Shuang Liu, Qi Tang, Xian-Zhu Tang

A parallel cut-cell algorithm is described to solve the free-boundary problem of the Grad-Shafranov equation. The algorithm reformulates the free-boundary problem in an irregular b…

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…