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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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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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Comparative Characteristics of Evaporative Convection Regimes in Different Statements of Boundary Value Problem for Convection Equations
We analyze different statements of the boundary value problem for the convection equations in order to use Ostroumov–Birikh type exact solutions for...
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Toward a Stochastic Parameterization for Oceanic Deep Convection
Current climate models are known to systematically overestimate the rate of deep water formation at high latitudes in response to too deep and too...
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The Dynamic Bifurcation for the Granulation Convection in Cylindrical Coordinates
This work formulates the simplified governing equations for granulation convection system in cylindrical coordinates by using the differential...
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Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels
This paper investigates the effects of quadratic convection on the electro-magneto-hydrodynamically driven flow of couple stress fluid in a...
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Study of Bénard-Marangoni Convection in a Microfluid with Coriolis Force
The convection of micro-structured fluid particles and the Coriolis force has been investigated in the problem. The eigenvalues are calculated for...
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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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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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On Some Classes of Free Convection Motions
A system of equations of unsteady spatial free convection of an incompressible viscous fluid in the Boussinesq approximation is considered. The...
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Invariant Algebraic Manifolds for the Rucklidge Model of Double Convection
Invariant manifolds are important for describing the dynamics of systems of ODEs. In this article we classify invariant algebraic manifolds in the...
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The combined effects of rotation and anisotropy on double diffusive bi-disperse convection
In the present paper, double-diffusive convection, taking into account Coriolis effects, in a horizontal layer of Brinkman-anisotropic bi-disperse...
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A Penalty-Free and Essentially Stabilization-Free DG Method for Convection-Dominated Second-Order Elliptic Problems
A new discontinuous Galerkin (DG) method is proposed and analyzed for general second-order elliptic problems. It features that local
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Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms
In this paper, we address a two-parameter singularly perturbed convection-reaction-diffusion 2-D problem. We also consider that the convection and...
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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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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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Thermal boundary-layer solutions for forced convection in a porous domain above a flat plate
In this paper we present numerical solutions for thermal boundary layers that are developed during forced convection in a porous medium located above...
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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...
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Existence and Location of Nodal Solutions for Quasilinear Convection–Absorption Neumann Problems
Existence of nodal (i.e., sign changing) solutions and constant-sign solutions for quasilinear elliptic equations involving convection–absorption...