Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulations. (Q5930702)

scientific article; zbMATH DE number 1590481

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English	Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulations.	scientific article; zbMATH DE number 1590481

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instance of

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title

Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulations. (English)

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

3 July 2001

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describes a project that uses

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Object-oriented finite elements. I: Principles of symbolic derivations and automatic programming. II: A symbolic environment for automatic programming

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Object-oriented finite elements. III: Theory and application of automatic programming

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Elementary applications of MATHEMATICA to the solution of elasticity problems by the finite element method

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An algebraic-expressed finite element model for symbolic computation

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FINGER: A symbolic system for automatic generation of numerical programs in finite element analysis

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The symbolic finite element analysis system

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Q3335096

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Consistent linearization in mechanics of solids and structures

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Geometrically non‐linear method of incompatible modes in application to finite elasticity with independent rotations

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Finite element formulation of the finite rotation solid element

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Object-oriented programming in nonlinear finite element analysis

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IMPROVING MODULARITY IN OBJECT-ORIENTED FINITE ELEMENT PROGRAMMING

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A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests

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A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

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The finite element method. 2: Solid and fluid mechanics dynamics and non-linearity.

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Some current CFD issues relevant to the incompressible Navier-Stokes equations

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The characteristic streamline diffusion method for convection-diffusion problems

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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Stabilized finite element methods. I.: Application to the advective- diffusive model

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Stabilized finite element methods. II: The incompressible Navier-Stokes equations

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Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations

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What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods

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A relationship between stabilized finite element methods and the Galerkin method with bubble functions

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Bubble functions prompt unusual stabilized finite element methods.

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Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations

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Mixed Petrov-Galerkin methods for the Timoshenko beam problem

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Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces

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Stability, convergence, and accuracy of a new finite element method for the circular arch problem

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A mixed displacement-pressure formulation for numerical analysis of plastic failure

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Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows

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The Galerkin gradient least-squares method

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Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements

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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

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Driven cavity flows by efficient numerical techniques

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Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects

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Finite element solution strategies for large-scale flow simulations

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Element diameter free stability parameters for stabilized methods applied to fluids

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author

Dominique Eyheramendy

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Thomas Zimmermann

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Identifiers

zbMATH Open document ID

1107.76350

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DOI

10.1016/S0045-7825(00)00261-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5930702