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math.NA2024
Approximating partial differential equations without boundary conditions
Andrea Bonito, Diane Guignard
We consider the problem of numerically approximating the solutions to an elliptic partial differential equation (PDE) for which the boundary conditions are lacking. To alleviate th…
math.NA2024★ 48 cited
Adaptive Finite Element Methods
Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto +1
This is a survey on the theory of adaptive finite element methods (AFEMs), which are fundamental in modern computational science and engineering but whose mathematical assessment i…