Finite element method: Difference between revisions

Revision as of 00:47, 1 December 2003

Revision as of 16:48, 7 December 2003

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[[ja:有限要素法]]

The '''finite element method''' is used for solving [[partial differential equation]]s (PDE). Solutions are achieved by either eliminating the differential equation completely (steady state problems), or rendering the PDE into an equivalent [[ordinary differential equation]], which is then solved using standard techniques such as [[finite difference]]s, etc. Use of the finite element method in engineering for the analysis of physical systems is commonly known as [[finite element analysis]].

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We note that the choice of piecewise linear elements is not even once differentiable, however it is piecewise differentiable. It is interesting to study how such solutions converge to the real solution of the Laplace problem as the number of elements tends to infinity.

[[ja:有限要素法]]