Mathematical modelling of chemical engineering systems by finite element analysis using PDE/PROTRAN

DOI10.1016/0898-1221(88)90129-0zbMath0701.65087OpenAlexW2004314697MaRDI QIDQ914349

Patrick Mills, Palghat A. Ramachandran

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90129-0

zbMATH Keywords

algorithmfinite elementsnumerical exampleseigenvalue problemstime-dependentsteady-statepiecewise polynomialstwo-dimensional problemsdamped Newton-Raphson methodPDE/PROTRAN program packagepreprocessor

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Chemically reacting flows (80A32) Applications to the sciences (65Z05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Uses Software

• COLSYS

Cites Work

• On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems
• An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type
• Collocation and Galerkin finite element methods for viscoelastic fluid flow. I. Description of method and problems with fixed geometry
• Collocation and Galerkin finite element methods for viscoelastic fluid flow. II. Die swell problems with a free surface
• The moving finite element method: Applications to general partial differential equations with multiple large gradients
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A numerical solution of the Navier-Stokes equations using the finite element technique
• A direct integral equation method for the solution of dual-or triple-series equations with applications to heat conduction and diffusion–reaction systems
• Algorithm 540: PDECOL, General Collocation Software for Partial Differential Equations [D3]
• Collocation Software for Boundary-Value ODEs
• Software for Nonlinear Partial Differential Equations
• PDEL—a language for partial differential equations
• A frontal solution program for finite element analysis
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