边界元与无网格数值方法研讨会

发布时间:2018年07月13日 作者:邓又军   消息来源:    阅读次数:[]

边界元与无网格数值方法研讨会

一、报告题目: Paradise and parasite of the BEM/BIEM

报告人:Jeng-Tzong Chen (National Taiwan Ocean University) (Email: jtchen@mail.ntou.edu.tw)

报告时间:2018.08.02 上午800-1000

报告地点:  145报告厅

摘要: It is well known that BEM/BIEM is an acceptable approach for solving engineering problems. It is a paradise in several aspects, one-dimension reduction of mesh, infinite domain, stress concentration and crack problems. Several successful experiences in Taiwan will be demonstrated. However, it also results in parasites in some cases. Rank-deficient matrix appears due to the degenerate scale, degenerate boundary, spurious eigenvalue and fictitious frequency once the BIEM/BEM is used for solving boundary value problems. Based on the well-posed dual formulation of the BEM/BIEM, full rank promotion can be achieved., In this talk, three parts will be given. First, the TwSIAM will be introduced. Second, the history of Taiwan BEM development will be addressed. Third, the rank-deficiency system in the BIEM/BEM will be reviewed and transformed to the well-posed system. Finally, I will mention recent works of NTOU/MSV group on the quaternion and the Clifford BEM.

报告人简介:

Vice President of TwSIAM

Conveyer of Civil and Hydraulic Engineering Program, Ministry of Science and Technology, Taiwan

Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20024, Taiwan

Keywords: rank deficiency, degenerate scale, BEM/BIEM

References

[1] J.T. Chen and J.W. Lee, A near-trapped mode and fictitious frequencies of multiple scattering by an array of elliptical cylinders in water waves, Phys. Fluids, 25(9), 079103, 2013.

[2] S.R Kuo and J.T. Chen, Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs, Applied Mathematics Letters, 29(6), pp.929-938, 2013.

[3] J.W. Lee and J.T. Chen, A semianalytical approach for a nonconfocal suspended strip in an elliptical waveguide, IEEE Trans. Microw. Theory Tech., 60(12), 3642-3655, 2012.

[4] J.T. Chen, L. W. Liu and H.-K. Hong, Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply-connected problem, Proc. R. Soc. A-Math. Phys. Eng. Sci., 459, 1891-1924, 2003.

[5] J.T. Chen, S.R. Kuo and J.H. Lin, Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity, Int. J. Numer. Meth. Engng., 54(12), 1669-1681, 2002.

[6] J.T. Chen and H.-K. Hong, Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series, Appl. Mech. Rev. ASME, 52(1), 17-33, 1999.

[7] H.-K. Hong, Y. C. Kao, J. W. Lee, L. W. Liu and J. T. Chen, 2018, Quaternion boundary element method for coupled exterior and interior magnetostatic fields, IEEE Transactions on Magnetics, V0l.54, No.6, pp.1-10.

[8] J. W. Lee, L. W. Liu, H.-K. Hong and J. T. Chen, 2016, Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems, Engineering Analysis with Boundary Elements, Vol.71, pp.140-150.


二、报告题目: Analysis of bioheat transfer problems using the method of fundamental solutions and radial basis functions

报告人:Jakub Grabski (Poznan University of Technology ) (Email: jakub.grabski@put.poznan.pl)

报告时间:2018.08.02 上午800-1000

报告地点:  143报告厅

摘要: In the paper different approaches for solving direct and inverse problems of bioheat transfer problems using meshless methods are compared. The problem is mathematically described by the Pennes bioheat equation. In the direct problem all parameters are known and the temperature distribution is to determine. In the inverse problem both the temperature distribution and a parameter, e.g. the blood perfusion coefficient, are to determine. In this work different approaches using the method of fundamental solutions (MFS) and radial basis functions (RBFs) for solving these problems are compared.

报告人简介:

I work at Poznan University of Technology. I'm interested in solving direct and inverse problems in different fields of mechachanics, especially in fluid mechanics and heat transfer. My research interests are related also to biomechanics and biomedical engineering. I try to solve different problems in these areas using modern computer methods, such as meshless methods or artificial intelligence.  


三、报告题目: Comparison of meshless methods applied for problem of temperature distribution in building constructions

报告人:Marta Chudzicka-Adamczak

报告时间:2018.08.02 上午1000-1200

报告地点:  145报告厅



四、报告题目: Meshless methods in applications of metal forming

报告人:Anita Uscilowska

报告时间:2018.08.02 下午1400-1600

报告地点:  145报告厅


五、报告题目:: Comparison of three meshless methods.

报告人:Magdalena Mierzwiczak (Poznan University of Technology)

(Email: magdalena.mierzwiczak@put.poznan.pl)

报告时间:2018.08.02 下午1600-1800

报告地点:  145报告厅

摘要: In this paper three different meshless methods are proposed to solve boundary value problems. The special purpose Trefftz function method (SPTF), the method of fundamental solution (MFS) and the symmetry method of fundamental solution (SMFS) are compared.

We considered three numerical examples. The Poiseulle flow in the duct with fibers. The longitudinal flow of the Newtonian fluid through the porous cylindrical medium bounded between two plates. The transverse flow of the Newtonian fluid through the unbounded porous medium. The accuracy, stability and convergence of the methods was investigated.

报告人简历

I am an assistant professor in Poznan University of Technology in the Institute of Applied Mechanics since 2011. I am co-author of 26 publications, chapters in two scientific monographs, a compilation of lectures and  two national patents. I have been collaborated with prof Kołodziej and dr Grabski. From the beginning of my scientific work engaged in application of the meshless methods for solving engineering problems. My interests are focused mainly on the heat transfer and fluid flow problem, both the direct and inverse one. I am a project manager of two research grant funded by from the National Science Center (NCN) and the National Centre for Research and Development (NCBR).




打印】【收藏】 【关闭