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ANALYSIS OF GEOTECHNICAL STRUCTURES USING MESHLESS LOCAL PETROV-GALERKIN RADIAL POINT INTERPOLATION METHOD

Juraj Muzik

First published: 2014-06-20https://doi.org/10.5593/sgem2014/b12/s2.006View metrics

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Title
ANALYSIS OF GEOTECHNICAL STRUCTURES USING MESHLESS LOCAL PETROV-GALERKIN RADIAL POINT INTERPOLATION METHOD
Authors
Juraj Muzik
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 14th SGEM GeoConference on SCIENCE AND TECHNOLOGIES IN GEOLOGY, EXPLORATION AND MINING
Publisher
Stef92 Technology
Year
2014
Pages
Not available yet
ISSN
1314-2704
ISBN
978-619-7105-08-7
Language
en
Publication type
Conference Paper
Keywords
References22
  1. Gu , Y. T., L iu, G. R.: A Meshless Local Petrov-Galerkin (MLPG) Method for Free and Forced Vibration Analyses for Solids. Computational Mechanics, 27, pp. 188-198, 2001.

  2. Kovarik K.: A meshless solution of two dimensional density-driven groundwater flow. Boundary elements and other mesh reduction methods XXXIII. – Southampton, pp. 253-264, WIT Press, 2011.

  3. Gu Y. T., Liu G. R.: A meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates. Computer Modeling in Engineering & Sciences., pp. 463 -476, 2001.

  4. K. Kovarik, D. Sitanyiova, S. Masarovicova, Vodohospodarske stavby. University of Zilina, 2008, 217 p.

  5. Kovarik K., Numerical simulation of groundwater flow and pollution transport using the dual reciprocity and RBF method. Komunikacie – Communications, pp. 5-10, 3a/2010

  6. Izvoltova J., Villim A.: Aplikacia Gauss-Jacobiho algoritmu pri identifikacii chyb merania. In: Civil and environmental engineering, 8/1 (2012) 13-17.

  7. Masarovicova S.: Testing of rockfill material for soil structures design, In: Theoretical foundation of civil engineering : XXI Russian - Slovak - Polish Seminar : Moscow - Arkhangelsk, 2012. - Warszawa: Politechnika Warszawska, 2012. - ISBN 978-83-7814-021-4., pp. 441-446.

  8. Shu C., Ding H., Yeo K. S.: Local Radial Basis Function-based Differential Quadrature Method and its Application to Solve Two-dimensional Incompressible Navier-Stokes Equations, Comput. Meth. Appl. Mech. Eng., 192, (2003), pp. 941- 954.

  9. Izvoltova J.: Studentized residuals in the process of outliers detection. RU- PL-SK seminar: Theoretical Foundation of Civil Engineering, Archangelsk 2012, ISBN -7814-021-4.

  10. M. Drusa, D. Lamich, J. Vlcek, S. Heviankova, M. Kyncl, L. Kais, M. Marschalko, I. Yilmaz, T. Bouchal, M. Bendova, D. Kubeckova, D. Krcmar, M. Bednarik: Design limits of reinforced soil structures in difficult geological conditions. SGEM 2013, GeoConference on science and technologies in geology, exploration and mining , 13th international multidisciplinary scientific geoconference, 2013, pp. 71-78.

  11. Nguyen G., An influence of different values of soils shear strength parameters on the size of spread foundation with an inclined eccentric load, In: Theoretical foundation of civil engineering : XXI Russian - Slovak – Polish 2012, Warszawa: Politechnika Warszawska, 2012. - ISBN 978-83-7814-021-4. - pp. 451-456.

  12. Gu , Y. T., L iu, G. R.: A Meshless Local Petrov-Galerkin (MLPG) Method for Free and Forced Vibration Analyses for Solids. Computational Mechanics, 27, pp. 188-198, 2001.

  13. Kovarik K.: A meshless solution of two dimensional density-driven groundwater flow. Boundary elements and other mesh reduction methods XXXIII. – Southampton, pp. 253-264, WIT Press, 2011.

  14. Gu Y. T., Liu G. R.: A meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates. Computer Modeling in Engineering & Sciences., pp. 463 -476, 2001.

  15. K. Kovarik, D. Sitanyiova, S. Masarovicova, Vodohospodarske stavby. University of Zilina, 2008, 217 p.

  16. Kovarik K., Numerical simulation of groundwater flow and pollution transport using the dual reciprocity and RBF method. Komunikacie – Communications, pp. 5-10, 3a/2010

  17. Izvoltova J., Villim A.: Aplikacia Gauss-Jacobiho algoritmu pri identifikacii chyb merania. In: Civil and environmental engineering, 8/1 (2012) 13-17.

  18. Masarovicova S.: Testing of rockfill material for soil structures design, In: Theoretical foundation of civil engineering : XXI Russian - Slovak - Polish Seminar : Moscow - Arkhangelsk, 2012. - Warszawa: Politechnika Warszawska, 2012. - ISBN 978-83-7814-021-4., pp. 441-446.

  19. Shu C., Ding H., Yeo K. S.: Local Radial Basis Function-based Differential Quadrature Method and its Application to Solve Two-dimensional Incompressible Navier-Stokes Equations, Comput. Meth. Appl. Mech. Eng., 192, (2003), pp. 941- 954.

  20. Izvoltova J.: Studentized residuals in the process of outliers detection. RU- PL-SK seminar: Theoretical Foundation of Civil Engineering, Archangelsk 2012, ISBN -7814-021-4.

  21. M. Drusa, D. Lamich, J. Vlcek, S. Heviankova, M. Kyncl, L. Kais, M. Marschalko, I. Yilmaz, T. Bouchal, M. Bendova, D. Kubeckova, D. Krcmar, M. Bednarik: Design limits of reinforced soil structures in difficult geological conditions. SGEM 2013, GeoConference on science and technologies in geology, exploration and mining , 13th international multidisciplinary scientific geoconference, 2013, pp. 71-78.

  22. Nguyen G., An influence of different values of soils shear strength parameters on the size of spread foundation with an inclined eccentric load, In: Theoretical foundation of civil engineering : XXI Russian - Slovak – Polish 2012, Warszawa: Politechnika Warszawska, 2012. - ISBN 978-83-7814-021-4. - pp. 451-456.

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