Thermal–hydraulic–mechanical–chemical coupled processes and their numerical simulation: a comprehensive review
With the growing development and utilization of underground space and resources, rock
masses exposed to high stresses and pore pressure, large temperature changes, and …
masses exposed to high stresses and pore pressure, large temperature changes, and …
An arbitrary-order discontinuous Galerkin method with one unknown per element
R Li, P Ming, Z Sun, Z Yang - Journal of Scientific Computing, 2019 - Springer
We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic
problem on general polygonal mesh with only one degree of freedom per element. This is …
problem on general polygonal mesh with only one degree of freedom per element. This is …
Quasi-optimal nonconforming methods for symmetric elliptic problems. II---Overconsistency and classical nonconforming elements
We devise variants of classical nonconforming methods for symmetric elliptic problems.
These variants differ from the original ones only by transforming discrete test functions into …
These variants differ from the original ones only by transforming discrete test functions into …
Compatible finite element methods for geophysical fluid dynamics
CJ Cotter - Acta Numerica, 2023 - cambridge.org
This article surveys research on the application of compatible finite element methods to
large-scale atmosphere and ocean simulation. Compatible finite element methods extend …
large-scale atmosphere and ocean simulation. Compatible finite element methods extend …
On the numerical approximation of p‐biharmonic and ‐biharmonic functions
N Katzourakis, T Pryer - Numerical Methods for Partial …, 2019 - Wiley Online Library
The∞‐Bilaplacian is a third‐order fully nonlinear PDE given by In this work, we build a
numerical method aimed at quantifying the nature of solutions to this problem, which we …
numerical method aimed at quantifying the nature of solutions to this problem, which we …
[PDF][PDF] A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes
H Li - Communications in Computational Physics, 2019 - par.nsf.gov
In this paper, we present a simple a posteriori error estimate for the weak Galerkin (WG)
finite element method for a model second order elliptic equation. This residual type estimator …
finite element method for a model second order elliptic equation. This residual type estimator …
Bi-axial buckling of laminated composite plates including cutout and additional mass
In the presented paper, a study of bi-axial buckling of the laminated composite plate with
mass variation through the cutout and additional mass is carried out using the improved …
mass variation through the cutout and additional mass is carried out using the improved …
Weak Galerkin finite element methods for a fourth order parabolic equation
S Chai, Y Zou, C Zhou, W Zhao - Numerical Methods for Partial …, 2019 - Wiley Online Library
This paper is devoted to a newly developed weak Galerkin finite element method with the
stabilization term for a linear fourth order parabolic equation, where weakly defined …
stabilization term for a linear fourth order parabolic equation, where weakly defined …
Residual estimates for post-processors in elliptic problems
In this work we examine a posteriori error control for post-processed approximations to
elliptic boundary value problems. We introduce a class of post-processing operator that …
elliptic boundary value problems. We introduce a class of post-processing operator that …
Improving the accuracy of discretisations of the vector transport equation on the lowest-order quadrilateral Raviart-Thomas finite elements
TM Bendall, GA Wimmer - Journal of Computational Physics, 2023 - Elsevier
Within finite element models of fluids, vector-valued fields such as velocity or momentum
variables are commonly discretised using the Raviart-Thomas elements. However, when …
variables are commonly discretised using the Raviart-Thomas elements. However, when …