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Nonelliptic Approximation of a Class of Partial Differential Equations with Neumann Boundary Condition

Nonelliptic Approximation of a Class of Partial Differential Equations with Neumann Boundary Condition

This paper is devoted to the numerical resolution of a class of linear partial differential equations with an inhomogeneous Neumann boundary condition. A first order quadrilateral finite element method is used, together with a one-point integration formula. The resulting scheme is simple and widely used but its theory is not …