WEN CHEN'S RESUME

Department of Engineering Mechannics
Hohai University
Email: chenwen@hhu.edu.cn

Personal Particuls:

Degrees:

B.S. Huazhong University of Science and Technology - Engineering Mechanics (1988)

M.S. Shanghai Jiao Tong University - Mechanical Engineering (1994)

Ph.D. Shanghai Jiao Tong University - Mechanical Engineering (1997)

Professional Experience:

Feb. 2006 - present Professor, leading scientist at Department of Engineering Mechannics, Hohai University, Nanjing, China.

Jan. 2004 -Jan. 2006 Research Professor at the National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics , Beijing, China.

Jan. 2002 - Dec. 2003 Research Scientist (project manager) at Scientifc Computing Department, Simula Research Laboratory, Oslo, Norway.

Mar. 2001 - Dec. 2001 NRC Postdoctoral Research Fellow at Informatics Department, University of Oslo, Oslo, Norway.

Oct. 2000 - Feb. 2001 Research Fellow at Mathematics Department, City University University of Hong Kong, Hong Kong.

Oct. 1998 - Sept. 2000 JSPS Postdoctoral Research Fellow at CAE Systems lab, Department of Mechancial Systems Engineering, Shinshu University, Nagano, Japan.

Nov. 1997 - October 1998 Research Engineer in Department of Mechancial & Production Engineering, National University of Singapore, Singapore.

Mar. 1997 - Nov. 1997 Research Engineer in Chinese Underwater Technology Institute, and mainly in Dongshen Holdings, Ltd as a project manager, headed a project team for developing dynamic motion simulator in entertainment industries, Shanghai, China.

Aug. 1989 - Aug. 1991 Worked as a design engineer in Mechanics Institute of Zhenjiang Huatong Machinery Group Co., a major construction machinery factory in China with a staff of over 3,000. Participated in the designing of two sub-systems of "LZGY Type Recycling Asphalt Drum Mixing Plant"; made an improvement on structure design of the traditional electronic belt weightometer to increase its accuracy and stability (see industrial experiences); supervised the production of the above product; followed through purchasing equipment and materials, production in workshops, testing and technique service.

Jul. 1988 - Jul. 1989 Worked as a practice engineer in Internal Combustion Engine Factory of Zhenjiang Huatong Machinery Group Co., received training in all phases of production, including assembly, testing, production planning; partly conducted quality control and value engineering.

Major Technical Contributions:

Most of the new concepts and approaches stated below have been successfully applied to some benchmark computational mechanics and physics problems. My original contributions are: (click respective below to see more details)

to present the new definition of the fractional Laplacian to overcome hyper-singularity, and to introduce the concept of the positive time fractional derivative to hold positivity of attenuation process, and to develop new linear and nonlinear wave equations modeling anomalous frequency-dependent energy diffusions;

to give the first mathematical physics explanation of [0,2] power dependency of acoustic attenuation coefficient on frequency via Levy stable distribution theory;

to propose the boundary knot method, boundary particle method, and modified Kansa method, three meshless, spectral convergent, integration-free RBF collocation techniques of boundary and domain types; to establish kernel RBFs, space-time RBFs, prewavlet RBF, and orthogonal RBF wavelets, which places the RBF on a novel mathematical basis; discover the high-order fundamental and general solutions of partial differential equations governing convection-diffusion, vibration, Winkler and Burger plates;

to first systematically apply the special matrix product (Hadamard product) for general nonlinear numerical computation and analysis, define the SJT product of matrix and vector to evaluate accurate Jacobian matrix of nonlinear algebraic equations very easily and efficiently. The Hadamard and SJT product operation is intrinsically nonlinear approach and mathematically simple compared with the standard linearization technique. The work constitutes the new basis for a variety of numerical solution techniques such as the finite difference, finite volume, radial basis function, pseudo-spectral, dual reciprocity BEM and various difference time integrators;

to find and prove a straightforward relationship theorem between nonlinear polynomial (discretization) equations and its Jacobian matrix. The theorem provides a competitive alternative to the standard linearization method in applying various linear approach for nonlinear problems. For example, the Gauss-Sideal and SOR iterative methods can be directly employed to solve the nonlinear equations without the use of linearization. This work as well as the above special matrix approach has leaded to a series of significant results in the construction of new nonlinear iteration formulas, stability analysis, uncoupling computation, and a new Newton iteration formula without the evaluation of function vector value. In addition, we presented the pseudo-Jacobian concept and generally linearization approach to reduce the effort in the nonlinear computation and analysis;

to discover the power zero feature of the coefficient matrix of the differential quadrature method (DQM) and accordingly present a new approach to accurately implement the multiple boundary conditions in the DQM solution of high-order boundary value problems such as structure and solid mechanics problems; validate the centrosymmetric or skew-centrosymmetric structures of the DQM coefficient matrix; present new formulas to more accurately estimate the truncation error of the DQM at any discrete grid points; reveal the fact that the zeros of the orthogonal polynomials are not always optimal for the DQM; find the DQM approximate formulas in matrix form for multi-dimension problems and introduced the efficient algorithms for the Lyapunov matrix equation to the DQM; first use the DQM to approximate the temporal derivative and present two effective techniques applying multiple inital conditions for high-order intial value problems. Finally, it is stressed that the above works are equally effective to the pseudospectral (collocation) methods due to the actual equivalence between them;

to propose element dynamic programming filter to greatly reduce the computing effort in the conventional dynamic programming filter for differentiation of noisy measurement data and solution of various inverse dynamic problems.

Honors and Awards:

Editorial Services

Associate editor of International Journal of Tomography and Statistics (2004-present)

Editorial board member of Computers, Materials and Continua (2006-present)

Editorial board member of International Journal of Nonlinear Sciences and Numerical Simulation (2000-2004)

Society Memberships:

Member of China Society of Mechanics

Member of American Society of Mechanical Engineers

Member of USA Society of Computational Mechanics

Research Interests:

My works involve solid, acoustic, fluid physics modeling and computations, inverse problem, nonlinear matrix computations, with an emphasis on the interplay of engineering modeling and mathematics. Besides 3.5 years professional experiences in industries, I also have worked at academic institutions in China, Singapore, Japan, Hong Kong, and Norway (see resume), with about 70 academic publications and a patent, and experiences in 8 academic research projects, 2 industrial product designs, and 3 development projects of software package (see publications and projects). Most of my projects are of multidisciplinary undertaking, as evidenced by my diverse professional experiences in mechanical, mathematics, and informatics departments. Click items below to find my works in details.

Mathematical and numerical modellings of medical ultrasound wave propagation (project manager, with an emphasis on modeling anomalous dissipation through porous media with fractional calculus, fractional Brownian motion & Levy statistics involving biomedical signal processing).

Kernel distance functions (radial basis functions) and wavelets for multifractal, multiscale, multivariate, scattered data processing (signal processing & imaging) and meshfree numerical PDEs.

Engineering algorithms & simulations through differential quadrature (collocation and pseudo-spectral) methods and boundary element methods involving study of numerical integrators for stiff and structural dynamic problems.

Nonlinear matrix computation & analysis.

Inverse dynamic problems and empirical data smoothing by using dynamic programming filter.

Industrial product design, computer simulation, and CAD.

Favourites:

Enjoying classical Chinese poems, football, basketball, swimming, and Go (ΧÆå Oslo club).



[ Publications] [ DQ-type method] [ BEM] [ Inverse analysis] [ RBF] [ Modeling] [ Patent] [ Wavelet ] [ Lifestyle ]

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