Approximating gradients with continuous piecewise polynomial functions
DOI10.1007/s10208-015-9262-zzbMath1347.41043arXiv1402.3945OpenAlexW2094648722MaRDI QIDQ300890
Publication date: 29 June 2016
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.3945
finite elementsdiscontinuous elementsa priori error estimatesadaptive tree approximationapproximation of gradientscontinuous piecewise polynomialsLagrange elements
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)
Related Items (19)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An optimal Poincaré inequality for convex domains
- Minimizing Neumann fundamental tones of triangles: an optimal Poincaré inequality
- Some observations on Babuška and Brezzi theories
- A note on the Poincaré inequality for convex domains
- Fast computation in adaptive tree approximation
- Adaptive finite element methods with convergence rates
- L2and pointwise a posteriori error estimates for FEM for elliptic PDEs on surfaces
- Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Theory of adaptive finite element methods: An introduction
- Explicit Upper Bounds for Dual Norms of Residuals
- Polynomial Approximation of Functions in Sobolev Spaces
- Error Estimates for Adaptive Finite Element Computations
- Convergence of nonconforming multigrid methods without full elliptic regularity
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- The Bramble--Hilbert Lemma for Convex Domains
- A note on polynomial approximation in Sobolev spaces
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- The completion of locally refined simplicial partitions created by bisection
- The Mathematical Theory of Finite Element Methods
- LOCALLY EFFICIENT AND RELIABLEA POSTERIORIERROR ESTIMATORS FOR DIRICHLET PROBLEMS
- Finite elements. Theory, fast solvers and applications in elasticity theory
This page was built for publication: Approximating gradients with continuous piecewise polynomial functions