Finite element method thesis

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Finite element method

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The finite element method FEM is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis , heat transfer , fluid flow , mass transport, and electromagnetic potential. The FEM is a general numerical method for solving partial differential equations in two or three space variables i. To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.
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Print Send Add Share. Committee Members: Schueller, John K. Notes Abstract: Shells are structures whose thickness is small compared to their other dimensions. Finite element method FEM is the most widely used tool for analysis of such structures and shell elements are used to model such structures.
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Muffler characterization with implementation of the finite element method and experimental techniques. Tyler W. Le Roy , Michigan Technological University. Determining how an exhaust system will perform acoustically before a prototype muffler is built can save the designer both a substantial amount of time and resources.
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