Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation
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Publication:753047
zbMath0716.41008MaRDI QIDQ753047
Publication date: 1990
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
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A triangular finite element with new approximation properties ⋮ Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices ⋮ Linear interpolation on a tetrahedron ⋮ On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes ⋮ On Jamet’s Estimates for the Finite Element Method with Interpolation at Uniform Nodes of a Simplex ⋮ Approximation of the gradient of a function on the basis of a special class of triangulations ⋮ Optimal estimates for the linear interpolation error on simplices ⋮ On Mesh Regularity Conditions for Simplicial Finite Elements ⋮ On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices ⋮ Explicit formulas for interpolating splines of degree 5 on the triangle ⋮ Explicitly solving vectorial ODEs ⋮ Estimation of the error of calculating the functional containing higher-order derivatives on a triangular grid ⋮ Lower estimates for the error of approximation of derivatives for composite finite elements with smoothness property ⋮ Hermite Interpolation on a Simplex
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