A Bernstein-basis reformulation of collocation Runge-Kutta schemes lets variational-inequality finite element methods enforce bounds constraints uniformly in time while retaining formally high order accuracy.
Conservation de la positivit´ e lors de la discr´ etisation des probl` emes d’´ evolution paraboliques.RAIRO
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Bounds-constrained finite element approximation of time-dependent partial differential equations
A Bernstein-basis reformulation of collocation Runge-Kutta schemes lets variational-inequality finite element methods enforce bounds constraints uniformly in time while retaining formally high order accuracy.