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Showing 1 to 20 of 47 for “"finite element discretization"”.
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Formulation and evaluation of finite element discretization schemes for high Reynolds number incompressible fluid flows
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2001.
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Design for Additive Manufacturing Considering Optimization of Part Topology and Build Orientation
… area and support material often rely on the finite element discretization scheme, leading to a gap between solving academic and practical problems. Focusing on a practical design tool, this study presents an approach to simultaneously optimize part topology and build orientation with AM …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
… 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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Variational data assimilation for two interface problems
… the variational data assimilation method with finite element discretization for two interface problems, including the Parabolic Interface equation and the Stokes-Darcy equation with the Beavers-Joseph interface condition. By using Tikhonov regularization and formulating the VDA into an …
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Estudo comparativo de algoritmos de integração direta, aplicados a problemas de condução de calor transiente
… was integrated, in space, by the use of the Finite Element Discretization Technique, using the curved isoparametric "quadrilateral" element. For time discretization, the Hermitians-Operators were used. The development of a digital computer program in FORTRAN was done and several examples were …
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Solving an eigenvalue problem in laser simulation
… now. The eigenvalue problem is discretized by finite elements, and convergence of the approximate solution is proved by using an abstract convergence theory also developed in this dissertation. This theory for the convergence of an approximate solution of a (quadratic) eigenvalue problem, which …
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Vibrações e estabilidade paramétrica de cascas axissimétricas
… transient responses are then obtained through a finite difference approximation in the time domain anda finite element discretization in the longitudinal direction. The steady-state periodic solution is determined. Its infinitesimal stability is studied and the first approximation of parametric …
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Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations
… the solution of inverse problems by the adaptive finite element method. In particular, we consider problems where distributed coefficients in partial differential equations are to be identified from measurements of the state variable. The ingredients for efficient algorithms are error estimates …
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Simulation tools for microelectromechanical systems
… 3-D electromechanical problems are developed. Finite element discretization of complex structures such as the micromirror lead to thousands of internal degrees of freedom. Their mostly rigid motion is exploited leading to a mixed rigid-elastic formulation. This formulation's advantage is …
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Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems
… flows. A focal point is the analysis of a finite element discretization with stabilized finite elements of degree two. Aspects of error estimation, solution techniques and mesh adaptivity are discussed with regard to the Navier-Stokes equations. Using a well established Navier-Stokes …
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Adaptive Finite Element Methods for Parameter Identification Problems
… algorithms for their solution, based on adaptive finite element methods. Since, in general, the computational effort for solving the arising optimization problems exceeds significantly the cost for a simple simulation, the question of choosing efficient (cheap) discretizations is crucial for …
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The port-Hamiltonian framework as a comprehensive approach to model and simulate complex systems
… and shows two possible mechanisms to do that: a finite-element discretization in port-Hamiltonian form, and a structure-preserving model order reduction for discretized models obtainable from commercial finite-element packages.
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An output-based adaptive and high-order method for a rotor in hover
A high-order discontinuous Galerkin finite element discretization and output-based adaptation scheme for the compressible Euler equations are presented and applied to an isolated rotor in hover. A simplex cut-cell mesh generation technique is used to support robust and autonomous creation of …
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Análise limite de cascas via otimização
… of shells of revolution. Both methods involve finite element discretization and solving linear programming problems. Numerical and analytical solutions are presented concerning several models related to pressure vessel design and other plastic shell problems.
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Massively parallel solver for the high-order Galerkin Least-Squares method
A high-order Galerkin Least-Squares (GLS) finite element discretization is combined with massively parallel implicit solvers. The stabilization parameter of the GLS discretization is modified to improve the resolution characteristics and the condition number for the high-order interpolation. The …
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Residual-based turbulence models for incompressible flows in domains with moving boundaries
… scales that can be accurately captured by the finite element discretization are numerically resolved, and are termed as the coarse scales, while the sub-grid scales, which may not be accurately represented by the finite element discretization, are termed as the fine-scales. The key idea of the …
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Finite element damage modeling of plain weave fabrics
… In this work, the geometrical model needed for finite element discretization of the plain weave fabrics are developed for three configurations---single lamina, iso-phase, and out-of-phase. Next, a procedure to determine the longitudinal elastic modulus under tensile loading is presented. Then, a …
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A space-time adaptive method for flows in oil reservoirs
… to flows in oil reservoirs. A fully unstructured discretization of space and time is used instead of a conventional time-marching approach. For d-dimensional spatial problems, this requires the generation of (d+1)-dimensional meshes, where time is treated as an additional spatial dimension. …
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A strictly feasible sequential convex programming method
… properties represented by elasticity tensors or elementary material matrices, respectively, based on a given finite element discretization. Material properties are as general as possible, i.e., anisotropic, leading to positive definite elasticity tensors, which may be arbitrarily small in case of …
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Numerical upper and lower bound limit analysis for braced excavations
… of limit analyses can be obtained through finite element discretization of the soil mass and formulation of the limit theorems within a linear programming framework. The current research uses a formulation proposed by Sloan et al. (1988) and extended in a recent Ph.D. thesis by Ukritchon …
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