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Continuous elements in the finite element method [PDF]
International Journal for Numerical Methods in Engineering, 1978 AbstractThe discretization of the media at all spatial co‐ordinates but one is presented here. This partial discretization leads to continuous finite elements as opposed to fully discrete ones and the problem resolves, for the cases presented here, into a set of linear differential equations rather than algebraic equations. The general problem of first
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2002
The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
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The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
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, 1999 If the fluid flow domain and boundary conditions are well posed then the Navier-Stokes equations can be analytically solved, however this, is possible only for the simplest type of problems.
Hou-Cheng Huang +2 more
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Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
J. Kůdela, R. Matousek
semanticscholar +1 more source
J. Kůdela, R. Matousek
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Introduction to the finite element method
2017 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), 2008A brief presentation on how to solve using the finite element method and the application of the method to microstrip problem are discussed.
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2010
Show the basic principles of the discretization of space using finite elements. Establish the means to obtain the integral forms of the conservation equations and to discretize them. Develop some aspects of the treatment of non stationary problems; non linear problems are dealt with in chapter 4.
Michel Rappaz +2 more
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Show the basic principles of the discretization of space using finite elements. Establish the means to obtain the integral forms of the conservation equations and to discretize them. Develop some aspects of the treatment of non stationary problems; non linear problems are dealt with in chapter 4.
Michel Rappaz +2 more
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2021
The finite element method (short: FEM) is an energy-based approximation method that has found its firm place in lightweight engineering applications. It has largely replaced classical methods such as the previously discussed methods according to Ritz and Galerkin in many fields of application, and practical lightweight engineering work is unthinkable ...
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The finite element method (short: FEM) is an energy-based approximation method that has found its firm place in lightweight engineering applications. It has largely replaced classical methods such as the previously discussed methods according to Ritz and Galerkin in many fields of application, and practical lightweight engineering work is unthinkable ...
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2011
Finite element methods (FEM) were used very early for problems in structural mechanics. Such problems often have a natural discretization by partitioning the structure in a number of finite elements, and this gave the name to this class of methods. This kind of mechanical approach merged with the more mathematical approach that gained momentum in the ...
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Finite element methods (FEM) were used very early for problems in structural mechanics. Such problems often have a natural discretization by partitioning the structure in a number of finite elements, and this gave the name to this class of methods. This kind of mechanical approach merged with the more mathematical approach that gained momentum in the ...
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Finite Element and Finite Difference Methods
2006Finite element methods (FEM) and finite difference methods (FDM) are numerical procedures for obtaining approximated solutions to boundary-value or initial-value problems. They can be applied to various areas of materials measurement and testing, especially for the characterization of mechanically or thermally loaded specimens or components ...
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2017
In Chapter 7 the variational formulation has been introduced to prove the existence of a (weak) solution. Now it will turn out that the variational formulation is extremely important for numerical purposes. It establishes a new, very flexible discretisation method. After historical remarks in Section 8.1 we introduce the Ritz–Galerkin method in Section
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In Chapter 7 the variational formulation has been introduced to prove the existence of a (weak) solution. Now it will turn out that the variational formulation is extremely important for numerical purposes. It establishes a new, very flexible discretisation method. After historical remarks in Section 8.1 we introduce the Ritz–Galerkin method in Section
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