Adaptive refinement and nonlinear fluid problems

DOI10.1016/0045-7825(79)90043-4zbMath0423.76080OpenAlexW2014570508MaRDI QIDQ1134613

Graham F. Carey

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0045-7825(79)90043-4

zbMATH Keywords

adaptive mesh refinementtwo-dimensionaladaptive refinementcompressiblechemical engineeringnonlinear transportnonlinear flow problemstransonicfinite element computationsnonlinear fluid problems

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (8)

A patch/subdomain iteration framework and algorithm class for error indicator and mesh reliability calculations ⋮ Adaptive piecewise Poly-Sinc methods for function approximation ⋮ Using fuzzy controllers as adaptive procedures in the finite element method ⋮ Computation of subcritical compressible flows ⋮ Some aspects of adaptive grid technology related to boundary and interior layers. ⋮ Estimating spatial and parameter error in parameterized nonlinear reaction–diffusion equations ⋮ An adaptive grid finite difference method for conservation laws ⋮ A survey of dynamically-adaptive grids in the numerical solution of partial differential equations

Cites Work

• Derivative calculation from finite element solutions
• A mesh-refinement scheme for finite element computations
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Finite element analysis of viscous, incompressible fluid flow. I: Basic methodology
• On the reliability and optimality of the finite element method
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