An operator splitting method with FDM and FEM for the convection-diffusion equation using boundary-fitted coordinate system

DOI10.1016/S1007-5704(96)90046-5zbMath0919.65065OpenAlexW2042381662MaRDI QIDQ1289741

Yao-Song Chen, Jie-min Zhan

Publication date: 17 June 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(96)90046-5

zbMATH Keywords

numerical resultsfinite element methodfinite difference methodconvection-diffusion equationadvection equationdiffusion equationsboundary-fitted coordinate systemoperator splitting method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Slow time-periodic solutions of the Ginzburg-Landau equation
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Finite dimensional behaviour for the derivative Ginzburg-Landau equation in two spatial dimensions
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Spatiotemporal complexity of the cubic-quintic nonlinear Schrodinger equation

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