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Spectral Mimetic Least-Squares Method for Curl-curl Systems
2018One of the most cited disadvantages of least-squares formulations is its lack of conservation. By a suitable choice of least-squares functional and the use of appropriate conforming finite dimensional function spaces, this drawback can be completely removed. Such a mimetic least-squares method is applied to a curl-curl system.
Palha, Artur, Gerritsma, Marc
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Spectral mimetic least-squares methods on curvilinear grids
2018We present a spectral mimetic least-squares method on curvilinear grids, which conserves important invariants. The method is developed using differential forms where the topological part and the constitutive part have been separated. It is shown that the topological part is solved exactly, independent of the order of the spectral expansion.
Hjort, R. O., Gervang, B.
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Finite volume methods and the equations of finite scale: A mimetic approach
International Journal for Numerical Methods in Fluids, 2008Len Margolin
exaly
A study of mimetic and finite difference methods for the static diffusion equation
Computers and Mathematics With Applications, 2018Giselle Sosa Jones
exaly
Mimetic finite difference methods for Hamiltonian wave equations in 2D
Computers and Mathematics With Applications, 2017Lourenco Beirao Da Veiga +2 more
exaly
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
SIAM Journal on Numerical Analysis, 2005Markus Berndt
exaly
Flux reconstruction and solution post-processing in mimetic finite difference methods
Computer Methods in Applied Mechanics and Engineering, 2008Andrea Cangiani, Gianmarco Manzini
exaly