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What is the difference between finite element method and Ritz method?

Anonymous

∙ 11y ago

Updated: 9/18/2023

The main difference between the Rayleigh-Ritz method (RRM) and the finite element method lies in the definition of the basis functions. For FEM, these are element-related functions, whereas for RRM these are valid for the whole domain and have to fit the boundary conditions. The Rayleigh-Ritz method for homogeneous boundary conditions leads to the same discretized equations as the Galerkin method of weighted residuals.

Wiki User

∙ 11y ago

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Daryl L. Logan has written: 'A First Course in the Finite Element Method/Book and Disk (The Pws Series in Engineering)' 'A first course in the finite element method' -- subject(s): Finite element method 'A first course in the finite element method' -- subject(s): Finite element method 'A First Course in the Finite Element Method Using Algor' -- subject(s): Algor, Data processing, Finite element method

What is the difference between FEM and FDM?

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What are the key differences between finite element and finite volume methods in computational fluid dynamics?

The key difference between finite element and finite volume methods in computational fluid dynamics lies in how they discretize and solve the governing equations of fluid flow. Finite element method divides the domain into smaller elements and approximates the solution within each element using basis functions. It is more versatile for complex geometries and can handle different types of boundary conditions. Finite volume method divides the domain into control volumes and calculates the flow variables at the center of each volume. It is more conservative in terms of mass and energy conservation and is better suited for problems with strong conservation properties. In summary, finite element method focuses on local accuracy and flexibility in handling complex geometries, while finite volume method emphasizes global conservation properties and is more suitable for problems with strong conservation requirements.

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What has the author J E Akin written?

J. E. Akin has written: 'Finite element analysis with error estimators' -- subject(s): Error analysis (Mathematics), Finite element method, Structural analysis (Engineering) 'Finite Elements for Analysis and Design' 'Finite Elements for Analysis and Design' 'Application and implementation of finite element methods' -- subject(s): Data processing, Finite element method

What has the author B A Szabo written?

B. A. Szabo has written: 'Hierarchic plate and shell models based on p-extension' -- subject(s): Finite element method, Mathematical models, Plates (Engineering), Shells (Engineering) 'Introduction to finite element analysis' -- subject(s): TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing, Finite element method 'Solution of elastic-plastic stress analysis probems by the p-version of the finite element method' -- subject(s): Finite element method, Strains and stresses

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I. M. Smith has written: 'Programming the finite element method' -- subject(s): Data processing, Finite element method, Soil mechanics

What has the author Pin Tong written?

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