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math.NA2020
Finite element appoximation and augmented Lagrangian preconditioning for anisothermal implicitly-constituted non-Newtonian flow
Patrick Farrell, Pablo Alexei Gazca Orozco, Endre Süli
We devise 3-field and 4-field finite element approximations of a system describing the steady state of an incompressible heat-conducting fluid with implicit non-Newtonian rheology.…
math.NA2020
Mixed finite element approximation of periodic Hamilton--Jacobi--Bellman problems with application to numerical homogenization
Dietmar Gallistl, Timo Sprekeler, Endre Süli
In the first part of the paper, we propose and rigorously analyze a mixed finite element method for the approximation of the periodic strong solution to the fully nonlinear second-…