A5079719098- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Lattice Boltzmann Simulation Studies
- Electromagnetic Simulation and Numerical Methods
- Computational Fluid Dynamics and Aerodynamics
- Numerical methods in inverse problems
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Aerosol Filtration and Electrostatic Precipitation
- Mobile Ad Hoc Networks
- Hydraulic Fracturing and Reservoir Analysis
- Reservoir Engineering and Simulation Methods
- Solidification and crystal growth phenomena
- Fluid Dynamics and Turbulent Flows
- Power System Optimization and Stability
- Composite Material Mechanics
- Advanced Computational Techniques and Applications
- Fractional Differential Equations Solutions
- Machine Learning and Data Classification
- Fluid Dynamics Simulations and Interactions
- Stochastic Gradient Optimization Techniques
- Microgrid Control and Optimization
- Advanced Algorithms and Applications
- Modular Robots and Swarm Intelligence
Hefei University of Technology
2024
Virginia Tech
2015-2024
South China Normal University
2010-2024
Second Affiliated Hospital of Zhejiang University
2022-2024
Nanjing University of Science and Technology
2024
Wuhan University
2014-2024
Guangxi University
2022-2024
Southwest University of Science and Technology
2023-2024
Westlake University
2023
Sichuan University
2022-2023
This article presents new immersed finite element (IFE) methods for solving the popular second order elliptic interface problems on structured Cartesian meshes even if involved interfaces have nontrivial geometries. These IFE contain extra stabilization terms introduced only at edges penalizing discontinuity in functions. With enhanced stability due to added penalty, not these can be proven optimal convergence rate H1-norm provided that exact solution has sufficient regularity, but also...
We present a general error estimation framework for finite volume element (FVE) method based on linear polynomials solving second-order elliptic boundary value problems. This treats the FVE as perturbation of Galerkin and reveals that regularities in both exact solution source term can affect accuracy methods. In particular, estimates counterexamples this paper will confirm cannot have standard O(h2 ) convergence rate L2 norm when has minimum regularity, only being , even if is H2 .
Abstract This article discusses an immersed finite element (IFE) space introduced for solving a second‐order elliptic boundary value problem with discontinuous coefficients (interface problem). The IFE is nonconforming and its partition can be independent of the interface. error estimates interpolation function in usual Sobolev indicate that this has approximation capability similar to standard conforming linear based on body‐fit partitions. Numerical examples related method are provided. ©...
Abstract This article discusses a bilinear immersed finite element (IFE) space for solving second‐order elliptic boundary value problems with discontinuous coefficients (interface problem). is nonconforming and its partition can be independent of the interface. The error estimates interpolation Sobolev function indicate that this IFE has usual approximation capability expected from polynomials. Numerical examples related method are provided. © 2008 Wiley Periodicals, Inc. Numer Methods...
Abstract This paper presents two immersed finite element (IFE) methods for solving the elliptic interface problem arising from electric field simulation in composite materials. The meshes used these IFE can be independent of geometry and position; therefore, if desired, a structured mesh such as Cartesian an method to simulate 3‐D domain with non‐trivial interfaces separating different Numerical examples are provided demonstrate that accuracies comparable standard linear unstructured...
Abstract This article presents three Crank‐Nicolson‐type immersed finite element (IFE) methods for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. These can use fixed mesh because IFEs handle interface jump conditions without requiring the to be aligned with will compared analytically in sense of accuracy and computational cost. Numerical examples are provided demonstrate features these IFE methods. © 2012 Wiley Periodicals, Inc....
Ligand/receptor-mediated targeted drug delivery has been widely recognized as a promising strategy for improving the clinical efficacy of nanomedicines but is attenuated by binding plasma protein on surface nanoparticles to form corona. Here, it shown that ultrasonic cavitation can be used unravel coronas liposomal through ultrasound (US)-induced reassembly. To demonstrate feasibility and effectiveness method, transcytosis-targeting-peptide-decorated reconfigurable liposomes (LPGLs) loaded...
We present a unified framework for developing and analyzing immersed finite-element (IFE) spaces solving typical elliptic interface problems with interface-independent meshes. This allows us to construct group of new IFE either linear, or bilinear, the rotated-|$Q_1$| polynomials. Functions in these are locally piecewise polynomials defined according subelements formed by itself instead its line approximation. show that unisolvence follows from invertibility Sherman–Morrison matrix. A...
Summary In this paper, the cell‐based smoothed finite element method (CS‐FEM) with semi‐implicit characteristic‐based split (CBS) scheme (CBS/CS‐FEM) is proposed for computational fluid dynamics. The 3‐node triangular (T3) and 4‐node quadrilateral (Q4) are used present CBS/CS‐FEM two‐dimensional flows. 8‐node hexahedral (H8) three‐dimensional Two types of CS‐FEM implemented in paper. One standard gradient smoothing cells Q4 hexahedron H8 element. Another called as n‐sided (nCS‐FEM) whose...
We consider decentralized machine learning over a network where the training data is distributed across $n$ agents, each of which can compute stochastic model updates on their local data. The agent's common goal to find that minimizes average all loss functions. While gradient tracking (GT) algorithms overcome key challenge, namely accounting for differences between workers' distributions, known convergence rates GT are not optimal with respect dependence mixing parameter $p$ (related...
Droplet directional transport is one of the central topics in microfluidics and lab-on-a-chip applications. Selective diverse droplets, particularly another liquid phase environment with controlled directions, still challenging. In this work, we propose an electric-field gradient-driven droplet platform facilitated by a robust lubricant surface. On platform, clearly demonstrated liquid-inherent critical frequency-dominated selective droplets driving mechanism transition from electrowetting...
Abstract This article analyzes the error in both bilinear and linear immersed finite element (IFE) solutions for second‐order elliptic boundary problems with discontinuous coefficients. The discontinuity coefficients is supposed to happen across general curves, but mesh of IFE methods can be allowed not align curve discontinuity. It has been shown that converge exact solution under usual assumptions about meshes regularity.© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq...