A refined first-order expansion formula in \(\mathbb{R}^n\): application to interpolation and finite element error estimates
DOI10.1016/j.cam.2024.116274MaRDI QIDQ6653516
Joël Chaskalovic, Franck Assous
Publication date: 16 December 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Cites Work
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- Some remarks of the trapesoid rule in numerical integration
- A probabilistic finite element method based on random meshes: a posteriori error estimators and Bayesian inverse problems
- A modern retrospective on probabilistic numerics
- Indeterminate constants in numerical approximations of PDEs: a pilot study using data mining techniques
- Multipoint Taylor formulas and applications to the finite element method
- Trapezoidal-type rules from an inequalities point of view
- NUMERICAL VALIDATION OF PROBABILISTIC LAWS TO EVALUATE FINITE ELEMENT ERROR ESTIMATES
- Probabilistic numerics and uncertainty in computations
- Approximation et interpolation des fonctions différentiables de plusieurs variables
- A new second order Taylor-like theorem with an optimized reduced remainder
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