Seismic Wave Propagation and Perfectly Matched Layers Using a GFDM.

1. Benito, J.J., Ureña, F., Gavete, L.: Influence several factors in the generalized finite difference method. Applied Mathematical Modeling 25, 1039–1053 (2001)

   Article  MATH  Google Scholar 

2. Benito, J.J., Ureña, F., Gavete, L., Alvarez, R.: An h-adaptive method in the generalized finite difference. Comput. Methods Appl. Mech. Eng. 192, 735–759 (2003)

   Article  MATH  Google Scholar 

3. Benito, J.J., Ureña, F., Gavete, L., Alonso, B.: Solving parabolic and hyperbolic equations by Generalized Finite Difference Method. Journal of Computational and Applied Mathematics 209(2), 208–233 (2007)

   Article  MATH  MathSciNet  Google Scholar 

4. Benito, J.J., Ureña, F., Gavete, L., Alonso, B.: Application of the Generalized Finite Difference Method to improve the approximated solution of pdes. Computer Modelling in Engineering & Sciences 38, 39–58 (2009)

   MATH  MathSciNet  Google Scholar 

5. Berenger, J.P.: A perfectly matched layer for the absortion of electromagnetic. J. Comput. Physics 114, 185–200 (1994)

   Article  MATH  MathSciNet  Google Scholar 

6. Chew, W.C., Liu, Q.H.: Perfectly matched layer for elastodynamics; a new absorbing boundary condition. J. Comput. Acoustics 4, 341–359 (1996)

   Article  Google Scholar 

7. Jensen, P.S.: Finite difference technique for variable grids. Computer& Structures 2, 17–29 (1972)

   Article  Google Scholar 

8. Jonshon, S.G.: Notes on Perfectly Matched Layers (PMLs). Courses 18.369 and 18.336 at MIT (July 2008)

   Google Scholar 

9. Moczo, P., Kristek, J., Halada, L.: The finite-difference method for seismologists. An introduction, Comenius University Bratislava, 158 pgs (1994)

   Google Scholar 

10. Moczo, P., Kristek, J., Galis, M., Pazak, P., Balazovjech, M.: The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion. Acta Physica Slovaca 57(2), 177–406 (2007)

    Google Scholar 

11. Liszka, T., Orkisz, J.: The Finite Difference Method at Arbitrary Irregular Grids and its Application in Applied Mechanics. Computer & Structures 11, 83–95 (1980)

    Article  MATH  MathSciNet  Google Scholar 

12. Perrone, N., Kao, R.: A general finite difference method for arbitrary meshes. Computer& Structures 5, 45–58 (1975)

    Article  MathSciNet  Google Scholar 

13. Skelton, E.A., Adams, S.D.M., Craster, R.V.: Guided elastic waves and perfectly matched layers. Wave motion 44, 573–592 (2007)

    Article  MATH  MathSciNet  Google Scholar 

14. Benito, J.J., Ureña, F., Gavete, L.: Leading-Edge Applied Mathematical Modelling Research, ch. 7. Nova Science Publishers, New York (2008)

    Google Scholar 

15. Orkisz, J.: Finite Difference Method (Part, III). In: Kleiber, M. (ed.) Handbook of Computational Solid Mechanics. Springer, Berlin (1998)

    Google Scholar 

16. Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, vol. 19. American Mathematical Society, Providence (2010)

    MATH  Google Scholar 

17. Knabner, P., Angerman, L.: Numerical Methods for Elliptic and Para bolic Partial Differential Equations. Texts in Applied Mathematics, vol. 44. Springer, New York (2003)

    Google Scholar 

18. Morton, K.W., Mayers, D.F.: Numerical solution of partial differential equations: An introduction. Cambridge University Press, Cambridge (1996)

    MATH  Google Scholar 

19. Respondek, J.: Numerical Simulation in the Partial Differential Equations Controllability Analyssis with Physically Meaningful Constraints. Mathematics and Computers in Simulation 81(1), 120–132 (2010)

    Article  MATH  MathSciNet  Google Scholar 

20. Respondek, J.: Approximate controllability of the n-th order infinite dimensional systems with controls delayed by the control devices. Int. J. Systems Sci. 39(8), 765–782 (2008)

    Article  MATH  MathSciNet  Google Scholar 

Download references