New approaches for adjoint-based error estimation and mesh adaptation in stabilized finite element methods with an emphasis on solid mechanics applications

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Authors
Granzow, Brian Neal
Issue Date
2018-05
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Electronic thesis
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ENG
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Mechanical engineering
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Abstract
In a finite element simulation, not all of the computed data is of equal importance. Rather, the goal of an engineering practitioner is often to accurately assess only a small number of critical outputs, such as the displacement at a point or the von-Mises stress over a domain. When these outputs can be expressed as functionals, a strategy known as adjoint-based error estimation can be employed to accurately assess output errors. Using this error information, mesh adaptation can then be utilized to reduce and control output errors. The use of adjoint-based error estimation and mesh adaptation is much more prevalent in computational fluid dynamics applications when compared to computational solid mechanics. This can in part be explained by the high level of expertise required to derive and implement adjoint-based error estimation routines in computational solid mechanics.
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May 2018
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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