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A convection–diffusion problem with a large shift on Durán meshes
A convection–diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted...
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The Backward Problem of Stochastic Convection–Diffusion Equation
In this paper, we consider a backward problem for the stochastic convection–diffusion equation. The source term is driven by the fraction Brownian...
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Using Deep Neural Networks for Detecting Spurious Oscillations in Discontinuous Galerkin Solutions of Convection-Dominated Convection–Diffusion Equations
Standard discontinuous Galerkin finite element solutions to convection-dominated convection–diffusion equations usually possess sharp layers but also...
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The supercloseness of the finite element method for a singularly perturbed convection-diffusion problem on a Bakhvalov-type mesh in 2D
For singularly perturbed convection-diffusion problems, supercloseness analysis of the finite element method is still open on Bakhvalov-type meshes,...
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Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh
Some popular stabilization techniques, such as nonsymmetric interior penalty Galerkin (NIPG) method, have important application value in...
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A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction–convection–diffusion equations
In this computational study, stabilized finite element solutions of convection-dominated stationary and linear reaction–convection–diffusion...
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Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems
We develop new multilevel Monte Carlo (MLMC) methods to estimate the expectation of the smallest eigenvalue of a stochastic convection–diffusion...
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Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations
In recent years, there has been an increasing interest in utilizing deep learning-based techniques to predict solutions to various partial...
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Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems
We consider the iterative solution of algebraic systems, arising in optimal control problems constrained by a partial differential equation with...
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The Role of Convection in the Limit Shape of the Critical Front Profile for Born-Infeld Diffusion Models
In this paper, we deal with models with Born-Infeld (or relativistic ) type diffusion and monostable reaction, investigating the effect of the...
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Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection–diffusion problem on a Vulanović–Bakhvalov mesh
This paper discusses the Richardson extrapolation technique of an upwind finite difference scheme on a modified Bakhvalov-type mesh (named...
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A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems
This paper presents a fast solver for time-fractional two-dimensional convection-diffusion problems that maintains non-negativity of numerical...
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Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients
We investigate a numerical behavior of robust deterministic optimal control problem subject to a convection-diffusion equation containing uncertain...
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Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows
The work is devoted to the fractional characterization of time-dependent coupled convection-diffusion systems arising in magnetohydrodynamics (MHD)...
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High order mimetic differences applied to the convection–diffusion equation: a matrix stability analysis
The convection–diffusion equation describes physical phenomena where particles or energy are transferred within a physical system due to the...
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Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes
In this paper, we analyze the virtual element method for the quasilinear convection-diffusion-reaction equation. The most important part in the...
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A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation
In this paper we study the a posteriori error estimates for the time dependent Navier-Stokes system coupled with the convection-diffusion-reaction...
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On Some Inverse Problems of Recovering Sources in Stationary Convection-Diffusion Models
AbstractWe examine well-posedness questions in the Sobolev spaces of inverse problems of recovering the source functions in stationary...
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A numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshes
In this paper, we design and develop a weak Galerkin finite-element numerical method for solving singularly perturbed convection–diffusion–reaction...
