A new minimization principle for the Poisson equation leading to a flexible finite element approach
Keywords:Poisson equation, minimization principle, mixed finite element method, a priori error estimate.
AbstractA new minimization principle for the Poisson equation using two variables â€“ the solution and the gradient of the solution â€“ is introduced. This principle allows us to use any conforming finite element spaces for both variables, where the finite element spaces do not need to satisfy the so-called infâ€“sup condition. A numerical example demonstrates the superiority of this approach. doi:10.1017/S144618111700030X
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