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An HDG Method for Convection Diffusion Equation
Journal of Scientific Computing, 2015A new hybridizable discontinuous Galerkin (HDG) method for the convection-diffusion problem on general polyhedral meshes is presented. This new HDG method is a generalization of HDG methods for linear elasticity introduced in [\textit{W. Qiu} et al., ``An HDG method for linear elasticity with strong symmetric stresses'', \url{arXiv:1312.1407}] to ...
Weifeng Qiu, Ke Shi 0005
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Soution of Convection-Diffusion Equations
2013Partial differential equations are an important part of mathematics in science and its numerical solution occupies an important position in the numerical analysis. Partial differential equations are closely related to human life and it has important research value.
Yamian Peng +2 more
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Incremental unknowns for convection–diffusion equations
Applied Numerical Mathematics, 1993The authors employ the method of incremental unknowns as suggested by the second author [SIAM J. Math. Anal. 21, No. 1, 154-178 (1990; Zbl 0715.35039)] to improve the convergence rate for some iterative methods applied to finite difference schemes for convection-diffusion equations.
Chen, Min, Temam, Roger
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Particle approximation of convection–diffusion equations
Mathematics and Computers in Simulation, 2001A particle method is derived for convection-diffusion equations and a convergence theorem is proved. Numerical results are discussed for different quasi random walks. An effective method is determined for replacing pseudo-random sequences in particle simulations with quasi-random sequences.
Lécot, Christian, Schmid, Wolfgang Ch.
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On a Convection Diffusion Equation with Absorption Term
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ouyang, Miao, Zhan, Huashui
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The Convection-Diffusion Equation
2005Abstract This equation arises in numerous models of flows and other physical phenomena.
Howard C Elman +2 more
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Stability of the solutions of a convection–diffusion equation
Nonlinear Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhan, Huashui, Feng, Zhaosheng
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The convection–diffusion equation
2014AbstractThis chapter concerns the statement of the steady convection–diffusion equation and its weak formulation. This is followed by a description of finite element discretization and properties of the discrete problem, including error bounds, stabilization methods and matrix properties.
A. M. Stuart, E. Söli
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ℋ︁‐matrices for the convection‐diffusion equation
PAMM, 2003AbstractHierarchical matrices (ℋ︁‐matrices) provide a technique for the sparse approximation of large, fully populated matrices. This technique has been shown to be applicable to stiffness matrices arising in boundary element method applications where the kernel function displays certain smoothness properties.
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Approximate Convection-Diffusion Equations
Journal of Hydrologic Engineering, 1999This paper describes the development of simplified momentum equations, in stage as well as in discharge formulations, governing the transition between the diffusion and the kinematic waves (including the latter). It also describes the application of these equations to arrive at the approximate convection-diffusion equations.
Muthiah Perumal, Kittur G. Ranga Raju
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