4 papers
The MAC scheme for linear elasticity in displacement-stress formulation on non-uniform staggered grids
Hongxing Rui, Weijie Wang
A marker-and-cell finite difference method is developed for solving the two dimensional and three dimensional linear elasticity in the displacement-stress formulation on staggered…
Coupling of conforming and mixed finite element methods for a model of wave propagation in thermo-poroelasticity in the frequency domain
Hongpeng Li, Cristian Carcamo, Hongxing Rui +1
A dynamic linear thermo-poroelasticity model, containing inertial and relaxation terms with second-order time derivatives, is investigated in this paper. The mathematical and numer…
A framework of discontinuous Galerkin neural networks for iteratively approximating residuals
Long Yuan, Hongxing Rui
We propose an abstract discontinuous Galerkin neural network (DGNN) framework for analyzing the convergence of least-squares methods based on the residual minimization when feasibl…
A linear, mass-conserving, multi-time-step compact block-centered finite difference method for incompressible miscible displacement problem in porous media
Xiaoying Wang, Hongxing Rui, Hongfei Fu
In this paper, a two-dimensional incompressible miscible displacement model is considered, and a novel decoupled and linearized high-order finite difference scheme is developed, by…