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Keywords:
FEM; stiffness matrix; restoring force vector; computational efficiency of algorithm; e-invariants
FEM; stiffness matrix; restoring force vector; computational efficiency of algorithm; e-invariants
Summary:
We introduce a new way of computation of time dependent partial differential equations using hybrid method FEM in space and FDM in time domain and explicit computational scheme. The key idea is quick transformation of standard basis functions into new simple basis functions. This new way is used for better computational efficiency. We explain this way of computation on an example of elastodynamic equation using quadrilateral elements. However, the method can be used for more types of elements and equations.
References:
[1] Archuleta R. J.: Experimental and Numerical Three-dimensional Simulations of Strike-slip Earthquakes. Ph.D. Thesis. University of California, San Diego 1976
[3] Felippa C. A.: Introduction to Finite Element Methods (ASEN 5007). Lecture notes. University of Colorado, Boulder 2005
[4] Moczo P., Kristek, J., Bystrický E.: Efficiency and optimization of the 3D finite-difference modeling of seismic ground motion. J. Comp. Acoustics 9(2) (2004), 593–609 DOI 10.1142/S0218396X01000681 | MR 1853644
[5] Reddy J. N.: An Introduction to the Finite Element Method, McGraw-Hill, New York 199.
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