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Showing 1 to 8 of 8 for “"variational form"”.
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Continuum Analytical Shape Sensitivity Analysis of 1-D Elastic Bar
… of this work is the derivation of three variational formulations for obtaining shape sensitivities, one in terms of the local sensitivity and two in terms of the material sensitivity. These derivations involve evaluating (a) the variational form of the continuum sensitivity equations, or …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
… numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is shown.</p>
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An efficient finite element method for embedded interface problems
… surfaces and compare and contrast their performance. We then extend these methods to enforce perfectly-tied kinematics for elastodynamics with explicit time integration. In particular, we examine the coupled aspects of spatial and temporal stability for Nitsche’s approach.We address the …
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Geometric modeling of manufacturing processes variations for model-based tolerance analysis
… specification, tolerance analysis must be performed. Prototyping is the the only method available for the analysis of the product geometric variations. For the automation of the analysis procedure, the part tolerance information must be represented in a format suitable for computer …
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Modeling, analysis and numerical simulation of reactive solute transport problems in moving domains
… reactive transport of a soluble substance in deformable media. The medium is a cylindrical channel with compliant adsorbing walls. The solutes are dissolved in a fluid flowing through the channel. The fluid, which carries the solutes, is viscous and incompressible. The problem is modeled by a …
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Mixed Isogeometric Form Finding Of Lightweight Structures
… to the supports by pure tension forces. The form finding process plays a crucial role for these non conventional structures. Thus starting from a detailed analysis of the state of the art, in the present work the attention has been given on the Force Density Method and the Updated Reference …
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Theoretical and numerical aspects of problems in finite-strain plasticity
… aspects of problems involving plastic deformations is provided. Among the features of the theory is the establishment of a clear relationship between conventional formulations, which make use of yield functions, and those formulated in terms of a dissipation function. The role of the …
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Mixed-Field Finite-Element Computations
… in waveguides via the finite-element method. The variational form of the Direct method is derived to ensure that an extremum is reached. The Direct method uses Maxwell's equations directly, both zero and first-order, scalar and vector bases that are used in the finite-element formulation. The …