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A local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks
In this paper, we apply local discontinuous Galerkin methods to the pattern formation dynamical model in polymerizing action flocks. Optimal error...
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Local Time Step** Method for District Heating Networks
In this article, we present a numerical solver for simulating district heating networks. The method applies a local time step** to networks of...
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On the Plate Equation with Exponentially Degenerating Stochastic Coefficients on the Torus
This paper aims to investigate the plate equation with time-dependent stochastic coefficients on the torus, which is used for modeling the vibration...
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Optimal Error Estimates of the Local Discontinuous Galerkin Method and High-order Time Discretization Scheme for the Swift–Hohenberg Equation
In this paper, we develop a local discontinuous Galerkin (LDG) method for the Swift–Hohenberg equation. The energy stability and optimal error...
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On a Single-Component Regularity Criterion for the Non-resistive Axially Symmetric Hall-MHD System
A one-component regularity criterion for the non-resistive axially symmetric Hall-MHD system is given in this paper. More precisely, we show that...
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Modeling and Numerical Simulation of Non-Linear FSI Systems for Energy Harvesting Based on Ocean Waves and Beams with Piezoelectric Patches
In this work, a numerical approach is adopted to solve the fluid-structure interaction (FSI) model for energy harvesting from ocean wave motion. A...
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An improved finite difference/finite element method for the fractional Rayleigh–Stokes problem with a nonlinear source term
In this paper, we propose an improved finite difference/finite element method for the fractional Rayleigh–Stokes problem with a nonlinear source...
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Heterogeneous gradient flows in the topology of fibered optimal transport
We introduce an optimal transport topology on the space of probability measures over a fiber bundle, which penalizes the transport cost from one...
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Two High-Order Time Discretization Schemes for Subdiffusion Problems with Nonsmooth Data
Two new high-order time discretization schemes for solving subdiffusion problems with nonsmooth data are developed based on the corrections of the...
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Error Estimates of Finite Element Method for the Incompressible Ferrohydrodynamics Equations
In this paper, we consider the Shliomis ferrofluid model and study its numerical approximation. We investigate a first-order energy-stable fully...
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Fractional Nonlinear Stochastic Heat Equation with Variable Thermal Conductivity
We consider a nonlinear stochastic heat equation with Riesz spacefractional derivative and variable thermal conductivity, on infinite domain. First...
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Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate
We introduce a diffusive SEIR model with nonlocal delayed transmission between the infected subpopulation and the susceptible subpopulation with a...
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A Novel Parallel Computing Strategy for Compact Difference Schemes with Consistent Accuracy and Dispersion
In this paper, based on the boundary approximation approach for parallelization of the compact difference schemes, a novel strategy for the...
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Well-posedness of the two-dimensional Abels–Garcke–Grün model for two-phase flows with unmatched densities
We study the Abels–Garcke–Grün (AGG) model for a mixture of two viscous incompressible fluids with different densities. The AGG model consists of a...
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Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System
In this paper, we first deduce an improved chemotaxis-fluid system by introducing a chemotactic stress force, which can be used to describe the...
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Conservative Model Order Reduction for Fluid Flow
In the past decade, model order reduction (MOR) has been successful in reducing the computational complexity of elliptic and parabolic systems of...
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Partial Differential Equations
We first build a second difference block matrix corresponding to the Laplacian on the square. We use this Laplacian matrix with various enforced...
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Optimal Buffer Zone for the Control of Groundwater Pollution from Agricultural Activities
We consider an optimal control model of groundwater pollution due to agricultural activities, the objective of the optimal manager being the...
