Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations
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DOI: 10.1007/s00211-021-01183-x
Abstract: We provide a framework for the analysis of the direct discontinuous Galerkin (DDG) methods for multi-dimensional convection-diffusion equations subject to various boundary conditions. A key tool is the global projection constructed by the DDG scheme… read more here.
Keywords: analysis direct; convection diffusion; discontinuous galerkin; direct discontinuous ... See more keywords
Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting condition
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DOI: 10.1007/s10092-016-0180-5
Abstract: In this paper, we present a methodology for stabilizing the virtual element method applied to the convection-diffusion-reaction equation. The stabilization is carried out modifying the mesh inside the boundary layer so that the link-cutting condition… read more here.
Keywords: convection diffusion; element method; diffusion reaction; link cutting ... See more keywords
A posteriori error estimates for non-stationary non-linear convection–diffusion equations
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DOI: 10.1007/s10092-018-0263-6
Abstract: Motivated by stochastic convection–diffusion problems we derive a posteriori error estimates for non-stationary non-linear convection–diffusion equations acting as a deterministic paradigm. The problem considered here neither fits into the standard linear framework due to its… read more here.
Keywords: convection diffusion; diffusion; convection; non linear ... See more keywords
Analysis of local discontinuous Galerkin method for time–space fractional convection–diffusion equations
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DOI: 10.1007/s10543-018-0697-x
Abstract: This paper focuses on the time–space fractional convection–diffusion equations with time fractional derivative (of order $$\alpha $$α, $$0< \alpha read more here.
Keywords: convection diffusion; space; time; diffusion equations ... See more keywords
A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations
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DOI: 10.1007/s10915-018-0713-y
Abstract: In this paper, we deal with an optimal control problem governed by the convection diffusion equations with random field in its coefficients. Mathematically, we prove the necessary and sufficient optimality conditions for the optimal control… read more here.
Keywords: convection diffusion; control; control problem; problem governed ... See more keywords
Layer resolving fitted mesh method for parabolic convection-diffusion problems with a variable diffusion
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01562-5
Abstract: In this paper, we constructed a fitted mesh finite difference method for solving a class of time-dependent singularly perturbed turning point convection-diffusion problems whose solution exhibits an interior layer. The diffusion coefficient in the underlying… read more here.
Keywords: diffusion problems; convection diffusion; method; diffusion ... See more keywords
Blending low-order stabilised finite element methods: A positivity-preserving local projection method for the convection–diffusion equation
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.01.016
Abstract: In this work we propose a nonlinear blending of two low-order stabilisation mechanisms for the convection–diffusion equation. The motivation for this approach is to preserve monotonicity without sacrificing accuracy for smooth solutions. The approach is… read more here.
Keywords: convection diffusion; low order; order; diffusion ... See more keywords
A high order discontinuous Galerkin method with skeletal multipliers for convection–diffusion–reaction problems
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.08.027
Abstract: Abstract A discontinuous Galerkin method with skeletal multipliers (DGSM) is developed for diffusion problem. Skeletal multiplier is introduced on the edge/face of each element through the definition of a weak divergence and a weak derivative… read more here.
Keywords: discontinuous galerkin; convection diffusion; galerkin method; method skeletal ... See more keywords
Radial basis function methods for optimal control of the convection–diffusion equation: A numerical study
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DOI: 10.1016/j.enganabound.2019.08.008
Abstract: Abstract In this paper, we perform a numerical study for the solution of optimal constrained optimization problems for linear convection–diffusion PDEs by local and global radial basis function techniques. To the best of our knowledge,… read more here.
Keywords: convection diffusion; numerical study; basis function; radial basis ... See more keywords
Half boundary method for steady state convection–diffusion equations with different boundary conditions
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DOI: 10.1016/j.enganabound.2019.12.005
Abstract: Abstract Convection-diffusion equation is widely used in many fields of science, technology and engineering. The calculation is usually difficult and time-consuming. In this paper, a highly efficient meshless boundary type method called the half boundary… read more here.
Keywords: convection diffusion; half boundary; convection; method ... See more keywords
A novel B-spline method to analyze convection-diffusion-reaction problems in anisotropic inhomogeneous medium
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DOI: 10.1016/j.enganabound.2020.06.013
Abstract: Abstract We present a B-spline based semi-analytical technique for solving 2D convection-diffusion-reaction equations. The main feature of the presented technique is to separate the satisfaction of the conditions on the boundary and the elliptic partial… read more here.
Keywords: convection diffusion; diffusion reaction; reaction problems;