67 citations · 864 across the 63 of their papers we have counts for
67 papers
Parameter-free inexact block Schur complement preconditioning for linear poroelasticity under a hybrid Bernardi-Raugel and weak Galerkin finite element discretization
Weizhang Huang, Zhuoran Wang
This work investigates inexact block Schur complement preconditioning for linear poroelasticity problems discretized using a hybrid approach: Bernardi-Raugel elements for solid dis…
MCTR: Midpoint Corrected Triangulation for Autonomous Racing via Digital Twin Simulation in CARLA
Junhao Ye, Cheng Hu, Yiqin Wang +6
In autonomous racing, reactive controllers eliminate the computational burden of the full See-Think-Act autonomy stack by directly mapping sensor inputs to control actions. This by…
An inherent regularization approach to parameter-free preconditioning for nearly incompressible linear poroelasticity
Weizhang Huang, Zhuoran Wang
An inherent regularization strategy combined with block Schur complement preconditioning is investigated for linear poroelasticity problems discretized using the lowest-order weak…
Efficient parameter-robust preconditioners for linear poroelasticity and elasticity in the primal formulation
Weizhang Huang, Zhuoran Wang
Poroelasticity problems play an important role in various engineering, geophysical, and biological applications. Their full discretization results in a large-scale saddle-point sys…
A general regularization strategy for singular Stokes problems and convergence analysis for corresponding discretization and iterative solution
Weizhang Huang, Zhuoran Wang
A general regularization strategy is considered for the efficient iterative solution of the lowest-order weak Galerkin approximation of singular Stokes problems. The strategy adds…
New finite volume element schemes based on a two-layer dual strategy
Weizhang Huang, Xiang Wang, Xinyuan Zhang
A two-layer dual strategy is proposed in this work to construct a new family of high-order finite volume element (FVE-2L) schemes that can avoid main common drawbacks of the existi…
Robust Adaptive Meshing, Mesh Density Functions, and Nonlocal Observations for Ensemble Based Data Assimilation
Jeremiah Buenger, Weizhang Huang, Erik Van Vleck
Adaptive spatial meshing has proven invaluable for the accurate, efficient computation of solutions of time dependent partial differential equations. In a DA context the use of ada…
A unifying moving mesh method for curves, surfaces, and domains based on mesh equidistribution and alignment
Min Zhang, Weizhang Huang
A unifying moving mesh method is developed for general -dimensional geometric objects in -dimensions ( and ) including curves, surfaces, and domains. T…
Consistency enforcement for the iterative solution of weak Galerkin finite element approximation of Stokes flow
Weizhang Huang, Zhuoran Wang
Finite element discretization of Stokes problems can result in singular, inconsistent saddle point linear algebraic systems. This inconsistency can cause many iterative methods to…
Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow
Weizhang Huang, Zhuoran Wang
This work is concerned with the convergence of the iterative solution for the Stokes flow, discretized with the weak Galerkin finite element method and preconditioned using inexact…
Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian
Weizhang Huang, Jinye Shen
In the finite difference approximation of the fractional Laplacian the stiffness matrix is typically dense and needs to be approximated numerically. The effect of the accuracy in a…
A moving mesh finite element method for Bernoulli free boundary problems
Jinye Shen, Heng Dai, Weizhang Huang
A moving mesh finite element method is studied for the numerical solution of Bernoulli free boundary problems. The method is based on the pseudo-transient continuation with which a…
Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian
Jinye Shen, Bowen Shi, Weizhang Huang
A so-called grid-overlay finite difference method (GoFD) was proposed recently for the numerical solution of homogeneous Dirichlet boundary value problems of the fractional Laplaci…
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains
Weizhang Huang, Jinye Shen
A grid-overlay finite difference method is proposed for the numerical approximation of the fractional Laplacian on arbitrary bounded domains. The method uses an unstructured simpli…
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
Weizhang Huang, Ruo Li, Jianxian Qiu +1
A well-balanced moving mesh discontinuous Galerkin (DG) method is proposed for the numerical solution of the Ripa model -- a generalization of the shallow water equations that acco…
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations
Yinnian He, Weizhang Huang
Mesh sensitivity of finite element solution for linear elliptic partial differential equations is analyzed. A bound for the change in the finite element solution is obtained in ter…
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes
Cassidy Krause, Weizhang Huang, David B Mechem +2
Adaptive moving spatial meshes are useful for solving physical models given by time-dependent partial differentialequations. However, special consideration must be given when combi…
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes
Min Zhang, Weizhang Huang, Jianxian Qiu
The selection of time step plays a crucial role in improving stability and efficiency in the Discontinuous Galerkin (DG) solution of hyperbolic conservation laws on adaptive moving…
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux
Dongmi Luo, Shiyi Li, Weizhang Huang +2
A high-order quasi-conservative discontinuous Galerkin (DG) method is proposed for the numerical simulation of compressible multi-component flows. A distinct feature of the method…
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations
Min Zhang, Weizhang Huang, Jianxian Qiu
A high-order, well-balanced, positivity-preserving quasi-Lagrange moving mesh DG method is presented for the shallow water equations with non-flat bottom topography. The well-balan…
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography
Min Zhang, Weizhang Huang, Jianxian Qiu
A rezoning-type adaptive moving mesh discontinuous Galerkin method is proposed for the numerical solution of the shallow water equations with non-flat bottom topography. The well-b…
Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Moving Meshes
Mohamed Sulman, Truong Nguyen, Ronald Haynes +1
A fast method is presented for adaptive moving mesh generation in multi-dimensions using a domain decomposition parabolic Monge-Ampère approach. The domain decomposition procedure…
Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation
Weizhang Huang, Weishi Liu, Yufei Yu
Ionic flow carries electrical signals for cells to communicate with each other. The permanent charge of an ion channel is a crucial protein structure for flow properties while boun…
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer
Min Zhang, Weizhang Huang, Jianxian Qiu
Solution interpolation between deforming meshes is an important component for several applications in scientific computing, including indirect arbitrary-Lagrangian-Eulerian and rez…