A unified study of continuous and discontinuous Galerkin methods
A unified study is presented in this paper for the design and analysis of different finite
element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs …
element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs …
Hybridization of the virtual element method for linear elasticity problems
F Dassi, C Lovadina, M Visinoni - Mathematical Models and …, 2021 - World Scientific
In this paper, we extend the hybridization procedure proposed in [DN Arnold and F. Brezzi,
Mixed and nonconforming finite element methods: Implementation, postprocessing and error …
Mixed and nonconforming finite element methods: Implementation, postprocessing and error …
Discrete elasticity exact sequences on Worsey–Farin splits
We construct conforming finite element elasticity complexes on Worsey–Farin splits in three
dimensions. Spaces for displacement, strain, stress, and the load are connected in the …
dimensions. Spaces for displacement, strain, stress, and the load are connected in the …
New low-order mixed finite element methods for linear elasticity
X Huang, C Zhang, Y Zhou, Y Zhu - Advances in Computational …, 2024 - Springer
New low-order H (div)-conforming finite elements for symmetric tensors are constructed in
arbitrary dimension. The space of shape functions is defined by enriching the symmetric …
arbitrary dimension. The space of shape functions is defined by enriching the symmetric …
Finite elements and virtual elements on classical meshes
Abstract Among Numerical Methods for PDEs, the Virtual Element Methods were introduced
recently in order to allow the use of decompositions of the computational domain in …
recently in order to allow the use of decompositions of the computational domain in …
Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor
We propose two classes of mixed finite elements for linear elasticity of any order, with
interior penalty for nonconforming symmetric stress approximation. One key point of our …
interior penalty for nonconforming symmetric stress approximation. One key point of our …
A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry
In this paper, we study a mixed discontinuous Galerkin (MDG) method to solve linear
elasticity problem with arbitrary order discontinuous finite element spaces in d-dimension …
elasticity problem with arbitrary order discontinuous finite element spaces in d-dimension …
A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity–pseudostress formulation
The Brinkman equations can be regarded as a combination of the Stokes and Darcy
equations which model transitions between the fast flow in channels (governed by Stokes …
equations which model transitions between the fast flow in channels (governed by Stokes …
[PDF][PDF] Mixed discontinuous Galerkin method for Quasi-Newtonian Stokes flows
Y Qian, W Yan, F Wang - J. Comput. Math., 2023 - doc.global-sci.org
In this paper, we introduce and analyze an augmented mixed discontinuous Galerkin (MDG)
method for a class of quasi-Newtonian Stokes flows. In the mixed formulation, the unknowns …
method for a class of quasi-Newtonian Stokes flows. In the mixed formulation, the unknowns …
Virtual Elements on polyhedra with a curved face
We revisit classical Virtual Element approximations on polygonal and polyhedral
decompositions. We also recall the treatment proposed for dealing with decompositions into …
decompositions. We also recall the treatment proposed for dealing with decompositions into …