On Certain Approximations in the Finite-Element MethodSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001::page 58Author:R. W. McLay
DOI: 10.1115/1.3408767Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Approximations made outside of the variational principle used in the finite-element method are examined for a restricted problem in elasticity. They are shown to be rigorous from the standpoint of a generalized variational principle in which Lagrange multipliers are utilized. The convergence of the Ritz solution to the exact solution is demonstrated. The bound is shown to be a function of the quality of both the displacement functions and other approximate functions in the analysis.
keyword(s): Finite element methods , Approximation , Variational principles , Functions , Elasticity AND Displacement ,
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| contributor author | R. W. McLay | |
| date accessioned | 2017-05-09T00:52:24Z | |
| date available | 2017-05-09T00:52:24Z | |
| date copyright | March, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25934#58_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/149512 | |
| description abstract | Approximations made outside of the variational principle used in the finite-element method are examined for a restricted problem in elasticity. They are shown to be rigorous from the standpoint of a generalized variational principle in which Lagrange multipliers are utilized. The convergence of the Ritz solution to the exact solution is demonstrated. The bound is shown to be a function of the quality of both the displacement functions and other approximate functions in the analysis. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Certain Approximations in the Finite-Element Method | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408767 | |
| journal fristpage | 58 | |
| journal lastpage | 61 | |
| identifier eissn | 1528-9036 | |
| keywords | Finite element methods | |
| keywords | Approximation | |
| keywords | Variational principles | |
| keywords | Functions | |
| keywords | Elasticity AND Displacement | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001 | |
| contenttype | Fulltext |