Boundary elements in steady convective diffusion problems

DOI10.1016/0377-0427(85)90032-9zbMath0577.65104OpenAlexW2082027215MaRDI QIDQ1065523

Masatoshi Ikeuchi, Michio Sakakihara

Publication date: 1985

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(85)90032-9

zbMATH Keywords

boundary integral equationfinite element methodssteady state convection diffusion equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15)

Related Items (3)

Boundary element method solution of stationary advective-diffusive problems: a comparison between the direct interpolation and dual reciprocity technique ⋮ Solution of the advection-diffusion equation using the Eulerian-Lagrangian boundary element method ⋮ The Riemann complex boundary element method for the solutions of two-dimensional elliptic equations

Cites Work

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• Upwinding by Petrov-Galerkin methods in convection-diffusion problems
• Boundary element solutions to steady convective diffusion equations
• Finite element schemes based on energy-stable approximation for two-fluid flow problems with surface tension
• Oscillation limits for weighted residual methods applied to convective diffusion equations
• A simple scheme for developing ‘upwind’ finite elements
• Variable upwinding and adaptive mesh refinement in convection‐diffusion

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