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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 32 for “"Penalty method"”.
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A C<sup>0</sup> Interior Penalty Method for the von Kármán Equations
… dissertation we develop a C<sup>0</sup> interior penalty method for the von Kármán equations for nonlinear elastic plates. We begin with a brief survey on frequently used finite element methods for the von Kármán equations. After addressing some topics from functional analysis in the …
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Numerical Simulations Of Black Hole Binaries: Second Order Spectral Methods
… and inefficiencies. This work presents a new penalty method for pseudo-spectral evolutions of second order in space wave equations. The penalties are constructed as functions of Legendre polynomials and are added to the equations of motion everywhere, not only on the boundaries as is typical …
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The modelling of natural fibre-reinforced composites using a multi-scale methodology
A multi-scale methodology for small strain linear elasticity is presented in this thesis. The homogenisation process is discussed in general, with particular attention to the required boundary constraints on the micro-domain and the extraction of an effective elastic modulus. For the case of a …
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SCHEDULING OF PAVEMENT MAINTENANCE ACTIVITIES
… genetic algorithms. This thesis develops a new method of pavement maintenance scheduling at the road network level. Pavement maintenance management involves the coordination and control of a comprehensive set of activities in order to maintain pavements with the optimal use of available …
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… based upon the Discontinuous Galerkin (DG) method, is introduced to solve one- and two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic lubrication, including some history, and a description …
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Monte Carlo Methods: Application to Hydrogen Gas and Hard Spheres
… the noise and the other for reducing it. The penalty method modifies the Metropolis acceptance ratio to tolerate noise without introducing a bias in the simulation of the nuclei. For reducing the noise, we introduce the two-sided energy difference method, which uses correlated sampling to …
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Numerical study of particle dynamics in a falling-ball viscometer
… for low Reynolds flow makes application of this method cumbersome for simulating the falling-ball viscometer. Through a study of a classical 2-D cavity problem, the cause of the instability requiring the restricted time step is identified. For this cavity problem, a modification of the usual …
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Finite element analysis of eigenvalue problems in the stability of fluid motions
… numbers are determined by the finite element method. The penalty method is used to approximate the incompressibility condition. We consider the stability of Boussinesq flows in a two-dimensional box in which internal heat sources are present. The influence of side walls are studied for various …
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The mathematical modelling and numerical solution of options pricing problems
… of financial options pricing problems. The methods are based on finite difference discretisation coupled with optimal solvers of the resulting discrete systems. Regular Cartesian meshes have been combined with orthogonal co-ordinate transformations chosen for numerical accuracy rather than …
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Minimum-weight design of symmetrically laminated composite plates for postbuckling performance under in-plane compression loads
… compression based on a Marguerre-type energy method was developed. The analysis assumes the out-of-plane displacement to be represented by using a truncated Fourier sine series. The unknown coefficients of the displacement function were obtained from a system of nonlinear algebraic equations …
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Nonlinear Pseudoparabolic Equations and Variational Inequalities
… To show existence, the Galerkin and Rothe methods are used. The system of the degenerate equations is solved using the monotonicity and gradient assumptions on the nonlinear function. The discretization along characteristics is applied to equations with convection. The existence of …
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Adaptive finite element simulation of incompressible viscous flow
A finite element method is employed for solving two- and three-dimensional incompressible flows. The formulation is based on a segregated solution method. In this segregated formulation, the velocities and pressures are uncoupled and the equations for each are solved one after the other. This …
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A penalty finite element model for axisymmetric flows of power-law and white-metzner fluids
A finite element model based on the penalty function formulation of the equations governing unsteady axisymmetric flows of viscous incompressible fluids obeying power-law and White-Metzner constitutive relations is developed. The formulation accounts for inertial (or convective) terms. For …
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ℓ-CTP: Utilizing Multiple Agents to Find Efficient Routes in Disrupted Networks
… have demonstrated the need for more effective methods of coping with flooding of roadways. A key complaint of logistics managers is the lack of knowledge when developing routes for vehicles attempting to navigate through areas which may be flooded. In particular, it can be difficult to re-route …
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Analysis and finite element approximation of an optimal shape control problem for the steady-state Navier-Stokes equations
… properties of the Navier-Stokes equations. The penalty method is applied to relax the difficulty of dealing with incompressibility in conjunction with domain perturbations and regularity requirements for the solutions. The existence of optimal solutions for the penalized problem is presented. …
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Variational multiscale method for coupled systems: free-surface flows and stratified turbulence
This dissertation presents a robust numerical method for the class of coupled systems comprised of multiple interacting partial differential equations (PDE). Particular emphasis is placed on incompressible Navier-Stokes equations that are coupled with a hyperbolic scalar PDE. The method is derived …
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Time-stable high-order finite difference methods for overset grids
… for implementing high-order finite difference methods to simulate compressible viscous flows over complex geometries. Although overset methods have been widely used to solve time-dependent partial differential equations, very few proofs of stability exist for them. In practice, the interface …
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Monte Carlo methods: application to hydrogen gas and hard spheres
Quantum Monte Carlo (QMC) methods are among the most accurate for computing ground state properties of quantum systems. The two major types of QMC we use are Variational Monte Carlo (VMC), which evaluates integrals arising from the variational principle, and Diffusion Monte Carlo (DMC), which …
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A coupled contact-mechanics computational model for studying deformable human-artifact contact
… to benchmark the coupled contact-mechanics method against a simpler rigid body model employing a penalty method. Following this, the model is validated against experimental data for various artifact contact problems. The explicit coupled contact-mechanics model is found to effectively …
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An experimental and numerical analysis of the exit flow in a slit die for polymer melts
… the experimental investigation, a mixed penalty method finite element simulation of the die swell problem was performed using the White-Metzner and upper-convected Maxwell constitutive equations. The flow birefringence experiments were performed for a polystyrene (Styron 678), LDPE (NPE …
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