Ciencia y Engenharia/ Science and Engineering Journal, ISSN 0103-944X, 07/2004, Volume 13, Issue 2, pp. 15 - 22

Journal Article

O interesse em estudar problemas de escoamento subterr neo e transporte de solutos em solos n o saturados tem aumentado significativamente nos ltimos anos,...

AGRONOMIA | convec o-difus o | water dynamics in unsaturated soil | din mica de gua em solo n o saturado | simula o num rica | solutes transport in soil | numerical simulation | transporte de solutos em solo | convection-diffusion

AGRONOMIA | convec o-difus o | water dynamics in unsaturated soil | din mica de gua em solo n o saturado | simula o num rica | solutes transport in soil | numerical simulation | transporte de solutos em solo | convection-diffusion

Dissertation

Formulamos um modelo simplificado para o estudo do processo de inje o de solvente em reservat rios de petr leo, onde o fluido injetado (um cido) tem a...

Engenharia de reservat rio de leo | Partial differential equations | Solvents - porous media | Din mica dos fluidos m todos de simula o | Fluid dynamics - simulation methods | Solventes materiais porosos | Materiais porosos m todos de simula o | Oil reservoir engineering | MATEMATICA APLICADA | Equa o convec o-difus o | Equa es diferenciais parciais | Porosity | Porosidade | Porous media - simulation methods | Convection-diffusion equation

Engenharia de reservat rio de leo | Partial differential equations | Solvents - porous media | Din mica dos fluidos m todos de simula o | Fluid dynamics - simulation methods | Solventes materiais porosos | Materiais porosos m todos de simula o | Oil reservoir engineering | MATEMATICA APLICADA | Equa o convec o-difus o | Equa es diferenciais parciais | Porosity | Porosidade | Porous media - simulation methods | Convection-diffusion equation

Dissertation

Energy, ISSN 0360-5442, 03/2015, Volume 82, pp. 1021 - 1033

Energy piles have recently emerged as a viable alternative to borehole heat exchangers, but their energy efficiency has so far seen little research. In this...

Energy piles | Thermal response test | Thermal efficiency | Convection–diffusion | Numerical modelling | Geothermal | Convection-diffusion | THERMODYNAMICS | ENERGY & FUELS | PERFORMANCE | HEAT-PUMP SYSTEM | Turbulence | Analysis | Electric properties | Concretes | Turbulent flow | Mathematical analysis | Fluid flow | Piles | Mathematical models | Energy management

Energy piles | Thermal response test | Thermal efficiency | Convection–diffusion | Numerical modelling | Geothermal | Convection-diffusion | THERMODYNAMICS | ENERGY & FUELS | PERFORMANCE | HEAT-PUMP SYSTEM | Turbulence | Analysis | Electric properties | Concretes | Turbulent flow | Mathematical analysis | Fluid flow | Piles | Mathematical models | Energy management

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 07/2019, Volume 73, pp. 379 - 390

•Nonlinear convection-diffusion equations are considered.•Arbitrary functions are included in equations.•New functional separable solutions are...

Convection–diffusion equations with delay | Equations with variable coefficients | Functional separable solutions | Exact solutions | Nonlinear convection–diffusion equations | MATHEMATICS, APPLIED | Convection-diffusion equations with delay | KLEIN-GORDON EQUATION | PHYSICS, FLUIDS & PLASMAS | SYMMETRY ANALYSIS | PHYSICS, MATHEMATICAL | REDUCTIONS | HEAT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Nonlinear convection-diffusion equations | COMPLETE GROUP CLASSIFICATION | POROUS-MEDIUM EQUATION | CONDITIONAL SYMMETRIES | SEPARATION | DELAY | CONSTRAINTS METHOD

Convection–diffusion equations with delay | Equations with variable coefficients | Functional separable solutions | Exact solutions | Nonlinear convection–diffusion equations | MATHEMATICS, APPLIED | Convection-diffusion equations with delay | KLEIN-GORDON EQUATION | PHYSICS, FLUIDS & PLASMAS | SYMMETRY ANALYSIS | PHYSICS, MATHEMATICAL | REDUCTIONS | HEAT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Nonlinear convection-diffusion equations | COMPLETE GROUP CLASSIFICATION | POROUS-MEDIUM EQUATION | CONDITIONAL SYMMETRIES | SEPARATION | DELAY | CONSTRAINTS METHOD

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2014, Volume 52, Issue 1, pp. 405 - 423

We propose a discontinuous Galerkin method for fractional convection-diffusion equations with a superdiffusion operator of order α(1 < α < 2) defined through...

Conservation laws | Mathematical discontinuity | Partial differential equations | Mathematical integrals | Laplacians | Convection diffusion equation | Polynomials | Fractals | Galerkin methods | Burger equation | Fractional Burgers equation | Discontinuous Galerkin method | Optimal convergence | Stability | Fractional convection-diffusion equation | Fractional Laplacian | SPACE | MATHEMATICS, APPLIED | fractional Burgers equation | discontinuous Galerkin method | PARTIAL-DIFFERENTIAL-EQUATIONS | optimal convergence | fractional Laplacian | fractional convection-diffusion equation | stability | Operators | Mathematical analysis | Differential equations | Derivatives | Optimization | Convergence | Convection-diffusion equation

Conservation laws | Mathematical discontinuity | Partial differential equations | Mathematical integrals | Laplacians | Convection diffusion equation | Polynomials | Fractals | Galerkin methods | Burger equation | Fractional Burgers equation | Discontinuous Galerkin method | Optimal convergence | Stability | Fractional convection-diffusion equation | Fractional Laplacian | SPACE | MATHEMATICS, APPLIED | fractional Burgers equation | discontinuous Galerkin method | PARTIAL-DIFFERENTIAL-EQUATIONS | optimal convergence | fractional Laplacian | fractional convection-diffusion equation | stability | Operators | Mathematical analysis | Differential equations | Derivatives | Optimization | Convergence | Convection-diffusion equation

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2009, Volume 228, Issue 23, pp. 8841 - 8855

In this paper, we present hybridizable discontinuous Galerkin methods for the numerical solution of steady and time-dependent nonlinear convection–diffusion...

Discontinuous Galerkin methods | Finite element methods | Hybrid/mixed methods | Nonlinear convection–diffusion equations | Nonlinear convection-diffusion equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | 2ND-ORDER ELLIPTIC PROBLEMS | PHYSICS, MATHEMATICAL | FINITE-ELEMENT-METHOD | Approximation | Mathematical analysis | Flux | Nonlinearity | Scalars | Mathematical models | Galerkin methods | Convection-diffusion equation

Discontinuous Galerkin methods | Finite element methods | Hybrid/mixed methods | Nonlinear convection–diffusion equations | Nonlinear convection-diffusion equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NAVIER-STOKES EQUATIONS | 2ND-ORDER ELLIPTIC PROBLEMS | PHYSICS, MATHEMATICAL | FINITE-ELEMENT-METHOD | Approximation | Mathematical analysis | Flux | Nonlinearity | Scalars | Mathematical models | Galerkin methods | Convection-diffusion equation

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 11/2015, Volume 300, pp. 70 - 91

In this paper, we employ an asymptotic analysis technique and construct two boundary schemes accompanying the lattice Boltzmann method for convection–diffusion...

Lattice Boltzmann method | Robin boundary conditions | Asymptotic analysis | Convection–diffusion equations | Curved boundaries | Convection-diffusion equations | DISPERSION | MODEL | PHYSICS, MATHEMATICAL | FLOW | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | CELL | Construction | Accuracy | Asymptotic properties | Lattices | Boundary conditions | Mathematical models | Boundaries | Convection-diffusion equation

Lattice Boltzmann method | Robin boundary conditions | Asymptotic analysis | Convection–diffusion equations | Curved boundaries | Convection-diffusion equations | DISPERSION | MODEL | PHYSICS, MATHEMATICAL | FLOW | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | CELL | Construction | Accuracy | Asymptotic properties | Lattices | Boundary conditions | Mathematical models | Boundaries | Convection-diffusion equation

Journal Article

9.
Full Text
An analysis of the weak Galerkin finite element method for convection–diffusion equations

Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 346, pp. 612 - 621

We study the weak finite element method solving convection–diffusion equations. A new weak finite element scheme is presented based on a special variational...

Convection–diffusion equation | Superconvergence | Weak Galerkin method | Optimal error estimate | MATHEMATICS, APPLIED | Convection-diffusion equation

Convection–diffusion equation | Superconvergence | Weak Galerkin method | Optimal error estimate | MATHEMATICS, APPLIED | Convection-diffusion equation

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 07/2014, Volume 269, pp. 138 - 155

A high-order compact finite difference method is presented for solving the three-dimensional (3D) time-fractional convection–diffusion equation (of order...

Unconditional stability | 3D time-fractional convection–diffusion equation | High-order compact scheme | ADI method | Padé approximation | 3D time-fractional convection-diffusion equation | ANOMALOUS SUBDIFFUSION EQUATION | Pade approximation | NUMERICAL-METHOD | PHYSICS, MATHEMATICAL | FINITE-DIFFERENCE SCHEME | SUB-DIFFUSION | SPECTRAL METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | NEUMANN BOUNDARY-CONDITIONS | Analysis | Methods | Algorithms | Nodular iron | Mathematical analysis | Mathematical models | Derivatives | Computational efficiency | Three dimensional | Convection-diffusion equation | Finite difference method

Unconditional stability | 3D time-fractional convection–diffusion equation | High-order compact scheme | ADI method | Padé approximation | 3D time-fractional convection-diffusion equation | ANOMALOUS SUBDIFFUSION EQUATION | Pade approximation | NUMERICAL-METHOD | PHYSICS, MATHEMATICAL | FINITE-DIFFERENCE SCHEME | SUB-DIFFUSION | SPECTRAL METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DYNAMICS | NEUMANN BOUNDARY-CONDITIONS | Analysis | Methods | Algorithms | Nodular iron | Mathematical analysis | Mathematical models | Derivatives | Computational efficiency | Three dimensional | Convection-diffusion equation | Finite difference method

Journal Article

11.
Full Text
A local discontinuous Galerkin method for the compressible Reynolds lubrication equation

Applied Mathematics and Computation, ISSN 0096-3003, 05/2019, Volume 349, pp. 337 - 347

We present an extension of the local discontinuous Galerkin (LDG) method introduced in [9] for nonlinear diffusion problems to nonlinear stationary...

Discontinuous Galerkin method | Convection–diffusion | Hydrodynamic problem | Reynolds equation | Convection-diffusion | MATHEMATICS, APPLIED | FINITE-ELEMENT-METHOD

Discontinuous Galerkin method | Convection–diffusion | Hydrodynamic problem | Reynolds equation | Convection-diffusion | MATHEMATICS, APPLIED | FINITE-ELEMENT-METHOD

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 03/2013, Volume 237, pp. 366 - 395

We propose a thermal boundary condition treatment based on the “bounce-back” idea and interpolation of the distribution functions for both the Dirichlet and...

Curved-boundary | Convection–diffusion equation | Neumann boundary condition | Lattice Boltzmann equation (LBE) | Dirichlet boundary condition | Convection-diffusion equation | BGK MODELS | DISPERSION | CONVECTION | SIMULATION | PHYSICS, MATHEMATICAL | CURVED BOUNDARY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | FLOWS | SCHEMES

Curved-boundary | Convection–diffusion equation | Neumann boundary condition | Lattice Boltzmann equation (LBE) | Dirichlet boundary condition | Convection-diffusion equation | BGK MODELS | DISPERSION | CONVECTION | SIMULATION | PHYSICS, MATHEMATICAL | CURVED BOUNDARY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | FLOWS | SCHEMES

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 20, pp. 7774 - 7795

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the convection–diffusion equation is presented. The model uses seven...

Convection–diffusion equation | Lattice Boltzmann method | Asymptotic analysis | Anisotropy | Multiple-relaxation-time | Convection-diffusion equation | INCOMPRESSIBLE 2-PHASE FLOWS | ADVECTION-DIFFUSION | BOUNDARY-CONDITIONS | BGK MODEL | POISSON EQUATION | SIMULATION | PHYSICS, MATHEMATICAL | ACCURACY | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DISPERSION-EQUATION | Analysis | Models

Convection–diffusion equation | Lattice Boltzmann method | Asymptotic analysis | Anisotropy | Multiple-relaxation-time | Convection-diffusion equation | INCOMPRESSIBLE 2-PHASE FLOWS | ADVECTION-DIFFUSION | BOUNDARY-CONDITIONS | BGK MODEL | POISSON EQUATION | SIMULATION | PHYSICS, MATHEMATICAL | ACCURACY | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DISPERSION-EQUATION | Analysis | Models

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 12/2019, Volume 98, pp. 278 - 283

In this article, a singularly perturbed convection–diffusion equation is solved by a linear finite element method on a Shishkin mesh. By means of an analysis...

Finite element method | Convection–diffusion equation | Superconvergence | Shishkin mesh | Singular perturbation | MATHEMATICS, APPLIED | Convection-diffusion equation

Finite element method | Convection–diffusion equation | Superconvergence | Shishkin mesh | Singular perturbation | MATHEMATICS, APPLIED | Convection-diffusion equation

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 04/2016, Volume 310, pp. 26 - 44

In this paper, we present a kind of second-order curved boundary treatments for the lattice Boltzmann method solving two-dimensional convection–diffusion...

Nonlinear Robin boundary conditions | Second-order accuracy | Approximate boundary conditions | Lattice Boltzmann method | Convection–diffusion equations | Curved boundaries | Convection-diffusion equations | MODEL | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | ADVECTION | FLOWS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | Email marketing | Analysis | Methods | Approximation | Computation | Boundary conditions | Mathematical models | Boundaries | Curved | Navier-Stokes equations | Convection-diffusion equation

Nonlinear Robin boundary conditions | Second-order accuracy | Approximate boundary conditions | Lattice Boltzmann method | Convection–diffusion equations | Curved boundaries | Convection-diffusion equations | MODEL | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FLUID | ADVECTION | FLOWS | NUMERICAL SIMULATIONS | PARTICULATE SUSPENSIONS | Email marketing | Analysis | Methods | Approximation | Computation | Boundary conditions | Mathematical models | Boundaries | Curved | Navier-Stokes equations | Convection-diffusion equation

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 08/2016, Volume 58, pp. 140 - 144

This paper is devoted to the interfacial phenomena of a class of forward backward convection–diffusion equations. Under the assumption that the equations have...

Forward backward convection–diffusion equations | Degenerate diffusion | Free boundary problem | Forward backward convection-diffusion equations | Mathematical analysis | Convection-diffusion equation

Forward backward convection–diffusion equations | Degenerate diffusion | Free boundary problem | Forward backward convection-diffusion equations | Mathematical analysis | Convection-diffusion equation

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2017, Volume 309, pp. 11 - 27

A singularly perturbed second order ordinary differential equation having two parameters with a discontinuous source term is presented for numerical analysis....

Boundary and interior layers | Reaction–convection–diffusion | Two-parameter | Hybrid difference scheme | Singular Perturbation Problem (SPP) | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | Reaction-convection-diffusion | BOUNDARY | Analysis | Methods | Numerical analysis | Parameters | Approximation | Mathematical analysis | Differential equations | Parameter robustness | Mathematical models | Derivatives

Boundary and interior layers | Reaction–convection–diffusion | Two-parameter | Hybrid difference scheme | Singular Perturbation Problem (SPP) | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | Reaction-convection-diffusion | BOUNDARY | Analysis | Methods | Numerical analysis | Parameters | Approximation | Mathematical analysis | Differential equations | Parameter robustness | Mathematical models | Derivatives

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 04/2016, Volume 296, pp. 170 - 180

We consider the Modified Craig–Sneyd (MCS) scheme which forms a prominent time stepping method of the Alternating Direction Implicit type for multidimensional...

Initial–boundary value problems | Convection–diffusion equations | ADI splitting schemes | Convergence analysis | Convection-diffusion equations | Initial-boundary value problems | MATHEMATICS, APPLIED | STABILITY | ADI SCHEMES | Theorems | Discretization | Mathematical analysis | Mathematical models | Derivatives | Two dimensional | Convergence | Convection-diffusion equation

Initial–boundary value problems | Convection–diffusion equations | ADI splitting schemes | Convergence analysis | Convection-diffusion equations | Initial-boundary value problems | MATHEMATICS, APPLIED | STABILITY | ADI SCHEMES | Theorems | Discretization | Mathematical analysis | Mathematical models | Derivatives | Two dimensional | Convergence | Convection-diffusion equation

Journal Article

Numerical Algorithms, ISSN 1017-1398, 6/2018, Volume 78, Issue 2, pp. 465 - 483

In this paper, we present pointwise estimates of the streamline diffusion finite element method (SDFEM) for conforming piecewise linears on Shishkin triangular...

65N12 | Characteristic layers | Numeric Computing | Theory of Computation | SDFEM | Algorithms | Algebra | Numerical Analysis | Shishkin triangular mesh | Computer Science | 65N50 | Convection–diffusion | Pointwise error | 65N30 | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | CORNER SINGULARITIES | BOUNDARY-LAYERS | Convection-diffusion | FINITE-ELEMENT-METHOD

65N12 | Characteristic layers | Numeric Computing | Theory of Computation | SDFEM | Algorithms | Algebra | Numerical Analysis | Shishkin triangular mesh | Computer Science | 65N50 | Convection–diffusion | Pointwise error | 65N30 | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | CORNER SINGULARITIES | BOUNDARY-LAYERS | Convection-diffusion | FINITE-ELEMENT-METHOD

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 07/2017, Volume 74, Issue 2, pp. 292 - 324

In this paper, a local meshless differential quadrature collocation method is utilized to solve multi-dimensional reaction–convection–diffusion PDEs...

Convection–diffusion equation | Burgers’ equation | Irregular domains | Upwind technique | Meshless method | Black–Scholes PDE model | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | ZASSENHAUS PRODUCT FORMULA | NUMERICAL-SOLUTION | MESHLESS METHODS | Black-Scholes PDE model | COLLOCATION METHOD | COMPACT ADI METHOD | RADIAL BASIS FUNCTION | Burgers' equation | BURGERS-EQUATION | OPERATOR-SPLITTING METHODS | Convection-diffusion equation | AMERICAN OPTIONS | Analysis | Methods | Differential equations

Convection–diffusion equation | Burgers’ equation | Irregular domains | Upwind technique | Meshless method | Black–Scholes PDE model | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | ZASSENHAUS PRODUCT FORMULA | NUMERICAL-SOLUTION | MESHLESS METHODS | Black-Scholes PDE model | COLLOCATION METHOD | COMPACT ADI METHOD | RADIAL BASIS FUNCTION | Burgers' equation | BURGERS-EQUATION | OPERATOR-SPLITTING METHODS | Convection-diffusion equation | AMERICAN OPTIONS | Analysis | Methods | Differential equations

Journal Article