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Showing 1 to 3 of 3 for “"least-squares finite element methods"”.
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Conservation and efficiency in least squares finite element methods
… conservation is often sought after. However, least-squares finite element methods are known to be not mass conserving when solving fluid flow problems. In this dissertation we develop mass conservative least-squares finite element methods for the Stokes and Navier-Stokes equations through the …
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Least squares finite element methods for the Stokes and Navier-Stokes equations
… goal of this work is to define and analyze least squares finite element methods for the Stokes and Navier-Stokes equations that are practical and optimal in a systematic and rigorous way. To accomplish this task we begin by developing the least squares theory for the linear Stokes equations. …
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CONTINUUM DISLOCATION DYNAMICS MODELING OF THE DEFORMATION OF FCC SINGLE CRYSTALS
… solved in a staggered fashion using a custom finite element approach featuring the use of Galerkin and Least Squares finite element methods for the mechanics and dislocation kinetics parts, respectively, on a mesh generated on an FCC superlattice. The spatial resolution of the mesh was …