Fundamentals of the finite element method
Abstract
Various phenomena treated in science and engineering are often described in terms of differential equations formulated by using their continuum. Solving differential equations under various conditions such as boundary or initial conditions leads to the understanding of the phenomena and can predict the future of these phenomena (determinism). Exact solutions for differential equations, however, are generally difficult to obtain. Numerical methods are adopted to obtain approximate solutions for differential equations. Among those numerical methods, those that approximate continua with infinite degree of freedom by discrete body with finite degree of freedom are called ‘discrete analysis’. ...
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