Discontinuous Galerkin finite element approximation of the Cahn–Hilliard equation with convection
The paper is concerned with the construction and convergence analysis of a discontinuous
Galerkin finite element method for the Cahn–Hilliard equation with convection. Using …
Galerkin finite element method for the Cahn–Hilliard equation with convection. Using …
The interior penalty virtual element method for the biharmonic problem
J Zhao, S Mao, B Zhang, F Wang - Mathematics of Computation, 2023 - ams.org
In this paper, an interior penalty virtual element method (IPVEM) is developed for solving the
biharmonic problem on polygonal meshes. By modifying the existing $ H^ 2$-conforming …
biharmonic problem on polygonal meshes. By modifying the existing $ H^ 2$-conforming …
Conforming and nonconforming virtual element methods for a Kirchhoff plate contact problem
F Wang, J Zhao - IMA Journal of Numerical Analysis, 2021 - academic.oup.com
We establish a general framework to study the conforming and nonconforming virtual
element methods (VEMs) for solving a Kirchhoff plate contact problem with friction, which is …
element methods (VEMs) for solving a Kirchhoff plate contact problem with friction, which is …
A new C0 discontinuous Galerkin method for Kirchhoff plates
A general framework of constructing C0 discontinuous Galerkin (CDG) methods is
developed for solving the Kirchhoff plate bending problem, following some ideas in (Castillo …
developed for solving the Kirchhoff plate bending problem, following some ideas in (Castillo …
A stabilized hybrid discontinuous Galerkin method for the Cahn–Hilliard equation
In this paper, we present a stabilized mixed hybrid discontinuous Galerkin finite element
method for solving fourth-order parabolic problems such as the Cahn–Hilliard equation used …
method for solving fourth-order parabolic problems such as the Cahn–Hilliard equation used …
[HTML][HTML] Efficient computable error bounds for discontinuous Galerkin approximations of elliptic problems
We present guaranteed and computable both sided error bounds for the discontinuous
Galerkin (DG) approximations of elliptic problems. These estimates are derived in the full DG …
Galerkin (DG) approximations of elliptic problems. These estimates are derived in the full DG …
A new interior penalty discontinuous Galerkin method for the Reissner–Mindlin model
PR Bösing, AL Madureira… - Mathematical Models and …, 2010 - World Scientific
We introduce an interior penalty discontinuous Galerkin finite element method for the
Reissner–Mindlin plate model that, as the plate's half-thickness ϵ tends to zero, recovers a …
Reissner–Mindlin plate model that, as the plate's half-thickness ϵ tends to zero, recovers a …
Discontinuous Galerkin with weakly over-penalized techniques for Reissner–Mindlin plates
PR Bösing, C Carstensen - Journal of Scientific Computing, 2015 - Springer
In this article we introduce a new locking-free completely discontinuous formulation for
Reissner–Mindlin plates that combines the discontinuous Galerkin methods with weakly …
Reissner–Mindlin plates that combines the discontinuous Galerkin methods with weakly …
A reduced local C0 discontinuous galerkin method for Kirchhoff plates
X Huang, J Huang - Numerical Methods for Partial Differential …, 2014 - Wiley Online Library
We propose and analyze a reduced local C0 discontinuous Galerkin (reduced LCDG)
method with minimal penalization for Kirchhoff plate bending problems. The resulting linear …
method with minimal penalization for Kirchhoff plate bending problems. The resulting linear …
The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem
J Zhao, T Chen, B Zhang, X Dong - Calcolo, 2024 - Springer
We present a Hermite-type virtual element method with interior penalty to solve the fourth-
order elliptic problem over general polygonal meshes, where some interior penalty terms …
order elliptic problem over general polygonal meshes, where some interior penalty terms …