A local adaptive differential quadrature method for multi-dimensional inverse scattering problem of wave propagation

Computers, Materials and Continua

Volumn 28, Issue 3, 2012, Pages 261-280

  Wu, Jiun Yu ^a   Wang, Hui Ching ^a   Char, Ming I ^a   Tai, Bo Chen ^a  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Differential quadrature method (DQM); Inverse scattering problem; Local adaptive differential quadrature method (La DQM); Multi boundary conditions; Wave propagation

Indexed keywords

CALCULATION PROCESS; DIFFERENTIAL QUADRATURE METHODS; HIGH-ORDER; INVERSE SCATTERING PROBLEMS; LOCAL-ADAPTIVE; MULTI-BOUNDARY CONDITIONS; NUMERICAL RESULTS;

DIFFERENTIATION (CALCULUS); NUMERICAL METHODS; SCATTERING; WAVE PROPAGATION;

BOUNDARY CONDITIONS;

EID: 84864254686     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Alifanov, O. M.; Artyukhin, E. A.; Rumyantsev, S. V. (1995): Extreme methods for solving ill-posed problems with applications to inverse heat transfer problems. Begell House, Inc, New York.
2. Bellman, R. E.; Casti, J. (1971): Differential quadrature and long term integration, J. Math. Anal. Appl., vol. 34, pp. 235-238.
3. Bellman, R. E.; Kashef, B. G.; Casti, J. (1972): Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys., vol. 10, pp. 40-52.
4. Bond, L. J.; Punjani, M.; Saffari, N. (1988): Ultrasonic wave propagation and scattering using explicit finite differencing methods. In: Mathematical modelling NDT, pp. 81-124.
5. Char, M.-I.; Chang, F.-P.; Tai, B.-C. (2008): Inverse determination of thermal conductivity by differential quadrature method. Int. Commun. Heat Mass Transfer, vol. 35, pp. 113-119.
6. Char, M.-I.; Tai, B.-C. (2010): Effects of viscous dissipation on slip-flow heat transfer in a micro annulus. Int. J. Heat Fluid Flow, vol. 53, pp. 1402-1408.
7. Choi, S.-T.; Wu, J.-D.; Chou, Y.-T. (2000): Dynamic analysis of a spinning Timo-shenko beam by the differential quadrature method. AIAA J., vol. 38, pp. 851-856.
8. Gottfried, A. (1990): Inverse problem in difference equations. Plenum Press, New York.
9. Guzina, B. B.; Fata, S. N.; Bonnet, M. (2003): On the stress-wave imaging of cavities in a semi-infinite solid. Int. J. Solids Struct., vol. 40, pp. 1505-1523. (Pubitemid 36242748)
10. Liu, C-S.; (2010): A lie-Group adaptive method for imaging a space-dependent rigidity coefficient in an inverse scattering problem of wave propagation. CMC: Computers, Materials & Continua, vol. 18, pp. 1-21.
11. Malekzadeha, P.; Vosoughic, A. R. (2009): DQM large amplitude vibration of composite beams on nonlinear elastic foundations with restrained edges. Commun. Nonlin. Sci. Num. Simul., vol. 14, pp. 906-915.
12. Shu, C.; Chew, Y. T.; Richards, B. E. (1995): Generalized differential-integral quadrature and their application to solve boundary layer equations. Int. J. Num. Meth. Fluids, vol. 21, pp. 723-733.
13. Tadi, M. (1997): Explicit method for inverse wave scattering in solids. Inverse Problems., vol. 13, pp. 509-521. (Pubitemid 127549979)
14. Tadi, M. (1998): Evalution of the elastic property based on boundary measurement. Acta Mech., vol. 129, pp. 231-241. (Pubitemid 128545206)
15. Tadi, M. (1999): Inverse wave scattering in 2-D elastic solids. Acta Mech., vol. 136, pp. 1-15.
16. Tai, B.-C.; Char, M.-I. (2010): Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation. Int Commun Heat Mass, vol. 37, pp. 480-483.
17. Telejko, T.; Malinowski, Z. (2004): Application of an inverse solution to the thermal conductively identification using the finite element method. J. Mater. Processing Tech., vol. 146, pp. 145-155.
18. Wang, Y.; Zhao, Y.B.; Wei, W. G. (2003): A note on the numerical solution of high-order differential equations. J. Comput. Appl. Math, vol. 159, pp. 387-398. (Pubitemid 37178440)
19. Wu, J, Y.; Chang, C. W. (2011): A Differential Quadrature Method for MultiDimensional Inverse Heat Conduction Problem of Heat Source. CMC: Computers, Materials & Continua, vol. 25, pp. 215-237.