Numerical analyses of operator-splitting algorithms for the two-dimensional advection-diffusion equation

DOI10.1016/S0045-7825(97)00127-8zbMath0933.65096OpenAlexW2086265740MaRDI QIDQ1299333

Liaqat Ali Khan, Philip L.-F. Liu

Publication date: 10 April 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00127-8

zbMATH Keywords

error analysisadvection-diffusion equationoperator splitting algorithms

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

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• An analysis of the fractional step method
• A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity
• An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics
• A higher order numerical scheme for scalar transport
• Fractional step algorithm for estuarine mass transport
• Solution of the advection-diffusion equation using the spline function and finite elements
• A higher-order eulerian scheme for coupled advection-diffusion transport
• Least-squares characteristics and finite elements for advection-dispersion simulation
• Investigation of use of reach-back characteristics method for 2D dispersion equation
• On Shape-Preserving Interpolation and Semi-Lagrangian Transport
• Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
• Adaptive Eulerian-Lagrangian finite element method for advection-dispersion
• Intermediate Boundary Conditions for Time-Split Methods Applied to Hyperbolic Partial Differential Equations
• Process splitting of the boundary conditions for the advection-dispersion equation
• On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Fractional step solution to slack tide oxygen balance equation
• On the relationship between the finite element and finite difference methods
• The Remainder of Certain Linear Approximation Formulas in Two Variables
• A Multistep Formulation of the Optimized Lax-Wendroff Method for Nonlinear Hyperbolic Systems in Two Space Variables
• On the Construction and Comparison of Difference Schemes
• Intermediate boundary corrections for split operator methods in three dimensions
• Boundary Techniques for the Multistep Formulation of the Optimized Lax-Wendroff Method for Non-linear Hyperbolic Systems in Two Space Dimensions