Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
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DOI: 10.1007/s10915-016-0304-8
Abstract: In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality… read more here.
Keywords: solutions finite; finite element; convergence suitable; weak solutions ... See more keywords
A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
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DOI: 10.1016/j.cma.2020.113164
Abstract: Inocencio Castanar gratefully acknowledges the support received from the Agencia de Gestio d’Ajut i de Recerca through the predoctoral FI grant 2019-FI-B-0649. J. Baiges gratefully acknowledges the support of the Spanish Government through the Ramon… read more here.
Keywords: finite element; stabilized mixed; mixed finite; acknowledges support ... See more keywords
Semi-discrete finite-element approximation of nonlocal hyperbolic problem
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DOI: 10.1080/00036811.2020.1749269
Abstract: In this paper, we investigate a semi-discrete finite-element approximation of nonlocal hyperbolic problem. A priori error estimate for the semi-discrete scheme is derived. A fully discrete scheme b... read more here.
Keywords: finite element; semi discrete; discrete finite; element approximation ... See more keywords