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Lect1.pdf - ME 510 Lecture 1 Chapter 1 Introduction Finite...

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ME 510 Lecture 1
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2 Finite Element Method The finite element method is a numerical method for solving problems of engineering and mathematical physics. Typical problem areas of interest in engineering and mathematical physics that are solvable by use of the finite element method include structural analysis , heat transfer , fluid flow , mass transport , and electromagnetic potential . Chapter 1 Introduction
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3 Finite Element Method The finite element formulation of the problem results in a system of simultaneous algebraic equations for solution, rather than requiring the solution of differential equations. These numerical methods yield approximate values of the unknowns at discrete numbers of points in the continuum. Hence this process of modeling a body by dividing it into an equivalent system of smaller bodies or units ( finite elements ) interconnected at points common to two or more elements ( nodal points or nodes ) and/or boundary lines and/or surfaces is called discretization . Finite element method, instead of solving the problem for the entire body in one operation, formulates the equations for each finite element and combine them to obtain the solution of the whole body. Chapter 1 Introduction
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4 Matrix Notation Chapter 1 Introduction
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5 Matrix Notation Chapter 1 Introduction
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6 Matrix Notation Chapter 1 Introduction we
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