Time-accurate solution of stabilized convection-diffusion-reaction equations: I-time and space discretization

DOI10.1002/cnm.517zbMath1003.65113OpenAlexW1989896199MaRDI QIDQ3150147

Jean Donea, Antonio Huerta

Publication date: 29 September 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/8473

zbMATH Keywords

Galerkin methodfinite element methodstabilizationleast squarestime-stepping schemesconvection-diffusion-reaction equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term ⋮ Time-stepping Padé--Petrov--Galerkin models for hydraulic jump simulation ⋮ Bubble stabilization of linear finite element methods for nonlinear evolutionary convection-diffusion equations ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ Time accurate consistently stabilized mesh-free methods for convection dominated problems ⋮ A multiplicative Schwarz method with active subdomains for transient convection–diffusion problems ⋮ Time-accurate solution of stabilized convection-diffusion-reaction equations: II-accuracy analysis and examples

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