A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators

Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
$C^0$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem
A new class of Zienkiewicz-type non-conforming element in any dimensions
A posteriori error estimates for the Morley plate bending element
A new a posteriori error estimate for the Morley element
An $n$-dimensional Clough-Tocher interpolant
On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme
Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
High accuracy nonconforming finite elements for fourth-order problems
$C^{0}$-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth-order elliptic problem
A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles
A family of 3D $H^2$-nonconforming tetrahedral finite elements for the biharmonic equation
A robust nonconforming $H^2$-element
The finite element methods for elliptic problems.
A note on the nonconforming finite elements for elliptic problems
An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
Modified shape functions for the three-node plate bending element passing the patch test
A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
On Cubic and Quartic Clough–Tocher Finite Elements
A Convergent Adaptive Algorithm for Poisson’s Equation
Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$
Finite Elements I
Exact sequences on Worsey–Farin splits
The Quadratic Specht Triangle
An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems

This page was built for publication: A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658816)