Two and three dimensional $H^2$-conforming finite element approximations without $C^1$-elements

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Two families of mixed finite elements for second order elliptic problems
Some observations on Babuška and Brezzi theories
Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben.
Polynomial approximation on tetrahedrons in the finite element method
Theory and practice of finite elements.
Mathematical analysis of thin plate models
Density results in Sobolev spaces whose elements vanish on a part of the boundary
Simplicial grid refinement: On Freudenthal's algorithm and the optimal number of congruence classes
A new mixed finite-element method for $H^2$ elliptic problems
Unlocking the secrets of locking: finite element analysis in planar linear elasticity
A characterization of supersmoothness of multivariate splines
Energy conservation in Newmark based time integration algorithms
Fourth order partial differential equations on general geometries
On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
Two mixed finite element methods for the simply supported plate problem
The Structure of C1 Spline Spaces on Freudenthal Partitions
A Family of ${C}^0$ Finite Elements For Kirchhoff Plates I: Error Analysis
Local Multigrid in H(Curl)
Spline Functions on Triangulations
Finite Element Methods for Navier-Stokes Equations
An Explicit Basis for $C^1 $ Quartic Bivariate Splines
A Nodal Basis for C 1 Piecewise Polynomials of Degree n ≥5
Hermite interpolation of nonsmooth functions preserving boundary conditions
A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach
Bending Moment Mixed Method for the Kirchhoff--Love Plate Model
Mixed Finite Element Methods and Applications
New development in freefem++
On radial stationary solutions to a model of non-equilibrium growth
Code Generation for Generally Mapped Finite Elements
A general approach to transforming finite elements
Exact sequences on Worsey–Farin splits
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Stable splitting of polyharmonic operators by generalized Stokes systems
Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions
The Mathematical Theory of Finite Element Methods
A local Lagrange interpolation method based on $C^{1}$ cubic splines on Freudenthal partitions
Computing $H^2$-conforming finite element approximations without having to implement $C^1$-elements

This page was built for publication: Two and three dimensional $H^2$-conforming finite element approximations without $C^1$-elements

Two and three dimensional \(H^2\)-conforming finite element approximations without \(C^1\)-elements