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An Improved Finite Element Formulation Derived from the Method of Weighted Residuals.

机译：一种改进的加权残值法有限元公式。

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摘要

By replacing the residual with its least-squares fit, an improvement has been made to the Method of Weighted Residuals. For finite element applications, the least-squares fit is made on an element basis. The improved formulation is illustrated by a number of examples drawn mainly from fluid-flow problems. The new formulation is closely related to the use of reduced integration and detailed comparisons with both exact and reduced integration are presented. The present formulation produces superior results to the use of reduced integration for some problems and formulations particularly when used with quadratic triangular elements. (Author)

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作者
Fletcher, C. A. J.;
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年度 1977
页码 1-31
总页数 31
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Finite element analysis; Weighting functions; Fluid dynamics; Fluid flow; Curve fitting; Least squares method; Numerical integration; Formulations; Viscous flow; Inviscid flow; Incompressible flow; Australia; Galerkin method;

机译：有限元分析;加权函数;流体动力学;流体流动;曲线拟合;最小二乘法;数值积分;配方;粘性流动; Inviscid流动;不可压缩流动;澳大利亚; Galerkin方法;

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1. Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation [J] . Yang SY. Mathematical Methods in the Applied Sciences . 1998,第18期

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2. Improved Formulations of the Discretized Pressure Equation and Boundary Treatments in Co-Located Equal-Order Control-Volume Finite-Element Methods for Incompressible Fluid Flow [J] . Alexandre Lamoureuxa amp, B. Rabi Baligaa* Numerical Heat Transfer, Part B: Fundamentals . 2011,第6期

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3. Improved formulations of the discretized pressure equation and boundary treatments in co-located equal-order control-volume finite-element methods for incompressible fluid flow [J] . Lamoureux A., Baliga B.R. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2011,第1a6期

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5. Part I. Improved handling to geometry details in finite difference time domain method. Part II. Method of circuit extraction using finite difference frequency domain matrix formulation with application to power bus modeling. [D] . Xiao, Kai. 2005

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6. Dual Formulations of Mixed Finite Element Methods with Applications [O] . Andrew Gillette, Chandrajit Bajaj -1

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8. An Investigation of the Method of Finite Elements with Accuracy Comparisons to the Method of Finite Differences for Solution of the Transient Heat Conduction Equation Using Optimum Implicit Formulations. [R] . geneczko,joseph c. 1978

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An Improved Finite Element Formulation Derived from the Method of Weighted Residuals.

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