Abstract

Presently available analytic techniques for solving wave propagation problems are only useful for simple cases. In realistic cases, the presence of inhomogeneities and irregular boundary conditions defies analytical solutions. One of the best numerical techniques suitable for solving wave propagation problems in a complex geological medium is the finite element method. In principle, the finite element method is capable of dealing with any two‐ or three‐dimensional acoustic and elastodynamic problems. However, the computer incore storage and computing time for solutions increase greatly with each dimension and are beyond the capabilities of the conventional computers. It is, therefore, always desirable to search for alternatives that may reduce the computational labor. In taking advantage of the current advances in hardware technology, the goal is to develop the finite element algorithm for an extraordinarily fast and inexpensive computer system. In particular, the implementation of the finite element meth...

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