A priori error estimates for Lagrange interpolation on triangles.
DOI10.1007/s10492-015-0108-4zbMath1363.65015arXiv1408.2179OpenAlexW2149493707MaRDI QIDQ499035
Takuya Tsuchiya, Kenta Kobayashi
Publication date: 29 September 2015
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.2179
convergencefinite element methodmaximum angle conditioninterpolation errora priori error estimatecircumradius conditionLagrange interpolation on trianglesminimum angle condition
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)
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Cites Work
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- The maximum angle condition is not necessary for convergence of the finite element method
- On semiregular families of triangulations and linear interpolation
- On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
- Functional analysis, Sobolev spaces and partial differential equations
- Theory and practice of finite elements.
- On the circumradius condition for piecewise linear triangular elements
- A Babuška-Aziz type proof of the circumradius condition
- On the finite element method
- On the Angle Condition in the Finite Element Method
- Uniform Error Estimates for Certain Narrow Lagrange Finite Elements
- The Mathematical Theory of Finite Element Methods