Regular decomposition and a framework of order reduced methods for fourth order problems

A Stable Mixed Element Method for the Biharmonic Equation with First-Order Function Spaces

(2017) Zheng Li et al.   Computational Methods in Applied Mathematics

Discrete and conforming smooth de Rham complexes in three dimensions

(2015) Michael Neilan   MATHEMATICS OF COMPUTATION

An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes

(2014) Chunmei Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order

(2014) Ran Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids

(2014) Shuo Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Discontinuous Galerkin Method for the Fourth-Order Curl Problem

(2012) Qingguo Hong et al.   JOURNAL OF COMPUTATIONAL MATHEMATICS

Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$

(2012) Ming Wang et al.   MATHEMATICS OF COMPUTATION

A nonconforming finite element method for fourth order curl equations in $\mathbb{R}^{3}$

(2011) Bin Zheng et al.   MATHEMATICS OF COMPUTATION

A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations

(2011) Edwin M. Behrens et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A family of 3D continuously differentiable finite elements on tetrahedral grids

(2008) Shangyou Zhang   APPLIED NUMERICAL MATHEMATICS

Discontinuous Galerkin methods for the biharmonic problem

(2008) E. H. Georgoulis et al.   IMA JOURNAL OF NUMERICAL ANALYSIS