Multi-compartment head modeling in EEG: Unstructured boundary-fitted tetra meshing with subcortical structures
This paper introduces an automated approach for generating a finite element (FE)
discretization of a multi-compartment human head model for electroencephalographic (EEG) …
discretization of a multi-compartment human head model for electroencephalographic (EEG) …
[HTML][HTML] A generalised formulation of G-continuous Bezier elements applied to non-linear MHD simulations
The international tokamak ITER is progressing towards assembly completion and first-
plasma operation, which will be a physics and engineering challenge for the fusion …
plasma operation, which will be a physics and engineering challenge for the fusion …
Efficient high-order radial basis-function-based differential quadrature–finite volume method for incompressible flows on unstructured grids
This paper presents an efficient high-order radial basis-function-based differential
quadrature–finite volume method for incompressible flows on unstructured grids. In this …
quadrature–finite volume method for incompressible flows on unstructured grids. In this …
A new adaptation strategy for multi-resolution method
L Fu, T Liang - Journal of Scientific Computing, 2022 - Springer
Adaptive mesh refinement (AMR) and wavelet-based multi-resolution technique, which
refine the spatial resolution in regions of interest and coarsen the mesh in other regions, are …
refine the spatial resolution in regions of interest and coarsen the mesh in other regions, are …
Jacobian-free Newton–Krylov method for the simulation of non-thermal plasma discharges with high-order time integration and physics-based preconditioning
A preconditioning framework for the numerical simulation of non-thermal streamer
discharges is developed using the Jacobian-free Newton-Krylov (JFNK) method. A reduced …
discharges is developed using the Jacobian-free Newton-Krylov (JFNK) method. A reduced …
An adaptive Newton-based free-boundary Grad-Shafranov solver
Equilibriums in magnetic confinement devices result from force balancing between the
Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a …
Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a …
Stabilized bi-cubic Hermite Bézier finite element method with application to Gas-plasma interactions occurring during massive material injection in Tokamaks
Abstract Development of a numerical tool based upon the high-order, high-resolution
Galerkin finite element method (FEM) often encounters two challenges: First, the Galerkin …
Galerkin finite element method (FEM) often encounters two challenges: First, the Galerkin …
Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics
We present compatible finite element space discretizations for the ideal compressible
magnetohydrodynamic equations. The magnetic field is considered both in div-and curl …
magnetohydrodynamic equations. The magnetic field is considered both in div-and curl …
High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers
W Chen, K Wu, T Xiong - Journal of Scientific Computing, 2024 - Springer
In this paper, we develop a high-order semi-implicit (SI) structure-preserving finite difference
weighted essentially nonoscillatory (WENO) scheme for magnetohydrodynamic (MHD) …
weighted essentially nonoscillatory (WENO) scheme for magnetohydrodynamic (MHD) …
Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates
We describe novel numerical methods for solving a class of high-order time-dependent
PDEs on general geometries, which involve second-order derivatives in time and up-to …
PDEs on general geometries, which involve second-order derivatives in time and up-to …