Optimal Finite-Element Interpolation on Curved Domains

1989/10/01 by Christine Bernardi · 8 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering

paper · doi:10.1137/0726068

Abstract

This paper is devoted to a general theory of approximation of functions in finite-element spaces. In particular, the case is considered where the functions to be interpolated are on the one hand not very smooth, and on the other are defined on curved domains. Thus, a number of well-known optimal interpolation results are generalized.

Citations

• Mixed finite elements in ?3

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• A regularization approach for an inverse source problem in elliptic\n systems from single Cauchy data
• Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
• Discontinuous Galerkin discretization in time of systems of second-order nonlinear hyperbolic equations
• Extension of some Cheney-Sharma type operators to a triangle with one\n curved side
• Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
• The Hu-Zhang element for linear elasticity on curved domains

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