A5103109616- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Advanced Mathematical Modeling in Engineering
- Computational Fluid Dynamics and Aerodynamics
- Numerical methods in engineering
- Organic Electronics and Photovoltaics
- Composite Material Mechanics
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Conducting polymers and applications
- Synthesis and Properties of Aromatic Compounds
- Stochastic processes and financial applications
- Molecular Junctions and Nanostructures
- Fractional Differential Equations Solutions
- Perovskite Materials and Applications
- Organic Light-Emitting Diodes Research
- Nanocomposite Films for Food Packaging
- Nonlinear Differential Equations Analysis
- Fullerene Chemistry and Applications
- Organic and Molecular Conductors Research
- Elasticity and Material Modeling
- Luminescence and Fluorescent Materials
- Technology and Data Analysis
- Numerical methods in inverse problems
- Semiconductor materials and interfaces
Shanxi Normal University
2025
Gyeongsang National University
2023
Old Dominion University
2013-2020
Beijing National Laboratory for Molecular Sciences
2013-2017
Ministry of Education
2015-2016
Peking University
2013-2015
Texas A&M University
2013-2015
City University of Hong Kong
2015
Mitchell Institute
2015
University of Minnesota
2010-2012
Three n-type polymers BDPPV, ClBDPPV, and FBDPPV which exhibit outstanding electrical conductivities when mixed with an dopant, N-DMBI ((4-(1,3-dimethyl-2,3-dihydro-1H-benzoimidazol-2-yl)phenyl)dimethylamine), in solution. High electron mobility efficient doping process endow the highest of 14 S cm(-1) power factors up to 28 μW m(-1) K(-2), is thermoelectric (TE) factor that has been reported for solution processable conjugated polymers. Our investigations reveal introduction halogen atoms...
The low LUMO level and the conformation-locked planar backbone provide polymer <bold>AzaBDOPV-2T</bold> with electron mobilities over 3.22 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> tested in air.
We provide a projection-based analysis of large class finite element methods for second order elliptic problems. It includes the hybridized version main mixed and hybridizable discontinuous Galerkin methods. The feature this unifying approach is that it reduces difficulty to verification some properties an auxiliary, locally defined projection local spaces defining Sufficient conditions optimal convergence approximate flux superconvergence element-by-element postprocessing scalar variable...
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based strong symmetric stress formulation. The key feature of this HDG is the use special form numerical trace stresses, which makes error analysis different from projection-based analyzes used most other methods. For arbitrary elements, we approximate by using polynomials degree $k\ge 1$ and displacement $k+1$. In contrast, to faces, $k$ only. allows very efficient...
We present a superconvergent hybridizable discontinuous Galerkin method for the steady-state incompressible Navier–Stokes equations on general polyhedral meshes. For an arbitrary conforming mesh, we use polynomials of degree |$k + 1$| , |$k$| and to approximate velocity, velocity gradient pressure, respectively. In contrast, only numerical trace interfaces. Since field is globally coupled unknown, this scheme allows very efficient implementation method. stationary case, under usual smallness...
Corannulene derivatives were used in organic solar cells for the first time. Using Cor-PI and Cor-NI as acceptors, we achieved power conversion efficiencies up to 0.32% 1.03%, suggesting potential applications of these fullerene segments non-fullerene acceptors.
Electron-deficient corannulene derivatives incorporating cyano and imide groups into the core were synthesized, which showed low LUMO (lowest unoccupied molecular orbital) levels dense convex-concave packing structures in single crystals. These two features help to realize first n-channel organic field-effect transistors (OFETs) air based on derivatives.
Journal Article Superconvergent HDG methods for linear elasticity with weakly symmetric stresses Get access Bernardo Cockburn, Cockburn School of Mathematics, University Minnesota, Minneapolis, MN 55455, USA, cockburn@math.umn.edu Search other works by this author on: Oxford Academic Google Scholar Ke Shi * USA *Corresponding author: shixx075@math.umn.edu IMA Numerical Analysis, Volume 33, Issue 3, July 2013, Pages 747–770, https://doi.org/10.1093/imanum/drs020 Published: 26 October 2012...
Abstract Recently, many efforts have been devoted to developing novel polycyclic aromatics due their unique optical and electronic properties broad applications, such as in organic field‐effect transistors, photovoltaics, light‐emitting diodes. Among various π‐conjugated molecules, truxene derivatives interesting characteristics C 3 ‐symmetry, strong blue emission, a planar rigid structure. Moreover, compared with other aromatics, the synthesis modification of are particularly facile...
We provide an a priori error analysis of wide class finite element methods for the Stokes equations. The are based on velocity gradient-velocity-pressure formulation equations and include new old mixed hybridizable discontinuous Galerkin methods. show how to reduce verification some properties elementwise-defined projection local spaces defining also that errors only depends approximation projection. then sufficient conditions superconvergence in approximate velocity. give many examples...
A large fused pyrene derivative TTTP was facilely developed through fusion at the non-K-region of pyrene, which represents first example extending such a π-conjugated plane its non-K-region. The investigation photophysical properties and other characterizations indicated that exhibited strong aggregation behaviors self-assembled into highly ordered one-dimensional nanowires due to plane.
Abstract In this paper we propose and analyze a mixed discontinuous Galerkin (DG) method an hybridizable DG (HDG) for the stationary magnetohydrodynamics (MHD) equations with two types of boundary (or constraint) conditions. The is based on recent work proposed by Houston et al. (2009, A linearized incompressible magnetohydrodynamics. J. Sci. Comput., 40, 281–314) MHD. With novel discrete Sobolev embedding type estimates polynomials, provide priori error nonlinear MHD equations. smooth case...
We propose a projection-based priori error analysis of wide class mixed and hybridizable discontinuous Galerkin methods for diffusion problems which the mappings relating elements to reference are nonlinear. show that if local spaces on satisfy suitable conditions, used define mesh global simple regularity compatibility provide optimally convergent approximations both unknowns as well superconvergent scalar variable. A crucial feature is use two new traces associated, suitably defined...
Tetracyano- and tetrachlorocoronene diimides with low LUMO levels are developed, exhibiting electron mobilities of up to 0.16 cm<sup>2</sup> V<sup>−1</sup> s<sup>−1</sup> in solution-processed OFETs.
We introduce a finite element method for numerical upscaling of second order elliptic equations with highly heterogeneous coefficients. The is based on mixed formulation the problem and concepts domain decomposition hybrid discontinuous Galerkin methods. utilizes three different scales: (1) scale partition problem, (2) boundaries subdomains (related to corresponding space Lagrange multipliers), (3) fine-grid that assumed resolve variation Our proposed gives flexible framework couples...
In this paper, we give the first a priori error analysis of hybridizable discontinuous Galerkin (HDG) methods for Timoshenko beams. The is based on use projection especially designed to fit structure numerical traces HDG method. This property allows us prove in very concise manner that errors bounded terms distance between exact solution and its projection. study influence stabilization function approximation then reduced how they affect properties single element. Surprisingly, unlike any...
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based strong symmetric stress formulation. The key feature of this HDG is the use special form numerical trace stresses, which makes error analysis different from projection-based analyzes used most other methods. For arbitrary elements, we approximate by using polynomials degree k>=1 and displacement k+1. In contrast, to faces, k only. allows very efficient...