Some aspects of adaptive grid technology related to boundary and interior layers.

DOI10.1016/j.cam.2003.09.036zbMath1049.65100OpenAlexW2121880853MaRDI QIDQ1428489

Graham F. Carey, Benjamin S. Kirk, Michael L. Anderson, Brian R. Carnes

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.036

zbMATH Keywords

stabilitynumerical examplesfinite elementboundsfinite volumefinite differencefeedback controlgrid optimizationlayersnonlinear reaction-diffusioncompressible gas dynamicsBoundary layersAdaptive mesh refinementshockwavesdrift diffusionInternalMultiscale behavior errorsemiconductor device transportstationary convection diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Gas dynamics (general theory) (76N15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of semiconductors (82D37) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers, A brief survey on numerical methods for solving singularly perturbed problems, Application of adaptive mesh refinement method to complex flows in clean rooms, Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs, A robust fitted operator finite difference method for singularly perturbed problems whose solution has an interior layer, A parallel, adaptive finite element scheme for modeling chemotactic biological systems, A perspective on adaptive modeling and meshing (AM\& M)

Uses Software

• PLTMG
• deal.ii

Cites Work

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