3 citations · 4 across the 6 of their papers we have counts for
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On the finite element method for a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
The aim of this paper is the numerical study of a class of nonlinear nonlocal degenerate parabolic equations. The convergence and error bounds of the solutions are proved for a lin…
On a nonlocal degenerate parabolic problem
Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque
Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solu…
Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries
Rui M. P. Almeida, José C. M. Duque, Jorge Ferreira +1
The aim of this paper is to establish the convergence and error bounds to the fully discrete solution for a class of nonlinear systems of reaction-diffusion nonlocal type with movi…