Infinite element method: Difference between revisions
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The '''infinite element method''' is a [[numerical analysis|numerical method]] for solving problems of engineering and [[mathematical physics]]. It is a modification of [[finite element method]]. The method divides the domain concerned into infinitely many sections. In the first instance this results in an infinite set of equations, which is then reduced to a finite set.<ref>"Infinite Element Methods" by Lung-an Ying</ref> The method is commonly used to solve acoustic problems. <ref> |
The '''infinite element method''' is a [[numerical analysis|numerical method]] for solving problems of engineering and [[mathematical physics]]. It is a modification of [[finite element method]]. The method divides the domain concerned into infinitely many sections. In the first instance this results in an infinite set of equations, which is then reduced to a finite set.<ref>"Infinite Element Methods" by Lung-an Ying</ref> The method is commonly used to solve acoustic problems. <ref>{{Cite book | doi=10.1007/978-94-015-9095-2_15|chapter = Infinite Element Methods|title = IUTAM Symposium on Computational Methods for Unbounded Domains| volume=49| pages=143–150|series = Fluid Mechanics and its Applications|year = 1998|last1 = Gerdes|first1 = K.| isbn=978-90-481-5106-6}}</ref> <ref>"Studies of an infinite element method for acoustical radiation" by Jean-ChristopheAutrique et al</ref> |
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"Infinite Element Methods" by K. Gerdes</ref> <ref>"Studies of an infinite element method for acoustical radiation" by Jean-ChristopheAutrique et al</ref> |
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==References== |
==References== |
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{{Reflist}} |
{{Reflist}} |
Revision as of 05:33, 2 October 2018
The infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The method divides the domain concerned into infinitely many sections. In the first instance this results in an infinite set of equations, which is then reduced to a finite set.[1] The method is commonly used to solve acoustic problems. [2] [3]
References
- ^ "Infinite Element Methods" by Lung-an Ying
- ^ Gerdes, K. (1998). "Infinite Element Methods". IUTAM Symposium on Computational Methods for Unbounded Domains. Fluid Mechanics and its Applications. Vol. 49. pp. 143–150. doi:10.1007/978-94-015-9095-2_15. ISBN 978-90-481-5106-6.
- ^ "Studies of an infinite element method for acoustical radiation" by Jean-ChristopheAutrique et al