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Two types of univariate Petrov–Galerkin elements using piecewise polynomials are described by Chen and Xu (1998) and four lemmas are proved for convergence of k−0 Petrov–Galerkin elements. For k−0 Petrov–Galerkin elements, the choice of k has a restriction 1 ≤ k ≤ 5.In this paper, we want to prove that some regular pairs exist which violate those lemmas and we are interested in showing how the continuous...
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