J
Janet S. Peterson
Researcher at Virginia Tech
Publications - 31
Citations - 1344
Janet S. Peterson is an academic researcher from Virginia Tech. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 14, co-authored 31 publications receiving 1218 citations. Previous affiliations of Janet S. Peterson include Florida State University & Iowa State University.
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Analysis and approximation of the Ginzburg-Landau model of superconductivity
TL;DR: First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived.
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On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics
TL;DR: In this paper, the existence and uniqueness of the solution of a weak formulation of the equations can be guaranteed under certain conditions on the data, and an optimal estimate for the error of the approximate solution is given.
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The Reduced Basis Method for Incompressible Viscous Flow Calculations
TL;DR: In this article, the reduced basis method is used in conjunction with a standard continuation technique to approximate the solution curve for the nonlinear equations resulting from discretizing the Navier-Stokes equations by finite element methods.
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Computational simulation of type-II superconductivity including pinning phenomena
TL;DR: A flexible tool, based on the finite-element method, for the computational simulation of vortex phenomena in type-II superconductors has been developed and sample results are provided for the case of constant applied magnetic fields.
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Solving the Ginzburg-Landau equations by finite-element methods
TL;DR: Finite-element methods for the approximation of solutions of the Ginzburg-Landau equations of superconductivity are considered, based on a discretization of the Euler-Lagrange equations resulting from the minimizations of the free-energy functional.