We propose and analyze two locking-free three-field virtual element methods for Biot's
consolidation model in poroelasticity. One is a high-order scheme, and the other is a low …

In this work, a locking-free nonconforming virtual element method for the three-field Biot's
model (the displacements, Darcy velocity and pore pressure) is developed and analyzed …

In this article, we use the weak Galerkin (WG) finite element method to study a class of time
fractional generalized Burgers' equation. The existence of numerical solutions and the …

In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid
P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's …

In this paper, we develop a weak Galerkin (WG) finite element method for a linear
poroelasticity model where weak divergence and weak gradient operators defined over …

We propose and analyze an H (div) conforming discontinuous galerkin (CDG) method for
the three-field Biot's consolidation model with the displacement reconstruction technique …

In this work, we develop a weak Galerkin method for the three-field Biot's consolidation
model. The key idea is to consider the total pressure variable. We employ the stable pair of …

This paper proposes and analyzes a class of weak Galerkin (WG) finite element methods for
stationary natural convection problems in two and three dimensions. We use piecewise …

In this paper, a modified Fourier series method is presented for the free vibration of
moderately thick orthotropic functionally graded plates with general boundary restraints …

This paper proposes a class of semi-discrete and fully discrete weak Galerkin finite element
methods for unsteady natural convection problems in two and three dimensions. In the …