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Showing 1 to 20 of 50 for “"Petrov-Galerkin"”.
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Higher-order Petrov-Galerkin methods for analysis of antennas
A temporally and spatially high-order accurate Petrov-Galerkin finite-element method is applied to the analysis of several antenna configurations. The method obtains numerical solutions of Maxwell's equations in the time domain using implicit time stepping and introduces energy into the domain …
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A Hybridized Discontinuous Petrov-Galerkin scheme for compressible flows
The Hybridized Discontinuous Petrov-Galerkin scheme (HDPG) for compressible flows is presented. The HDPG method stems from a combination of the Hybridized Discontinuous Galerkin (HDG) method and the theory of the optimal test functions, suitably modified to enforce the conservativity at the element …
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An hp-Adaptive Petrov-Galerkin Method for Steady-State and Unsteady Flow Problems
… capabilities have been developed within a Petrov-Galerkin (PG) finite-element method. The mesh modification mechanisms include h-, p-, and combined hp-adaptations which are performed in a non-conforming manner. The constrained approximation method has been utilized in order to retain the …
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Uma formulação de Petrov-Galerkin para problemas de dispersão pelo método dos elementos finitos
… for the difusion-convection equation, using a Petrov-Galerkin scheme with discontinuous weighting functions. This scheme, known as SUPG, introduces the concept of a consistent upwind, that can be easily applied to transient and/or multidimensional problems. Numerical one and two-dirnensional …
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Solution of Linear Elastostatic and Elastodynamic Plane Problems by the Meshless Local Petrov-Galerkin Method
The meshless local Petrov-Galerkin (MLPG) method is used to numerically find an approximate solution of plane strain/stress linear elastostatic and elastodynamic problems. The MLPG method requires only a set of nodes both for the interpolation of the solution variables and the evaluation of various …
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Meshless Local Petrov-Galerkin method with Rankine source solution for two-dimensional two-phase flow modelling
… multiphase model based on the Meshless Local Petrov-Galerkin method with Rankine source solution (MLPG_R) is proposed to simulate 2D flows of two immiscible fluids. The model is applicable to fluids with a wide range of density ratio from 1.01 to 1000, capable of dealing with violent flow …
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Extension of a high-order Petrov-Galerkin implementation applied to non-radiating and radar cross section geometries
Capabilities of a high-order Petrov-Galerkin solver are expanded to include N-port systems. Tait-Bryan angles are employed to launch electro-magnetic waves in arbitrary directions allowing off axis ports to be driven. The transverse-electric (TE) formulation is added allowing waveguide geometries …
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A Streamline Upwind/ Petrov-Galerkin FEM based time-accurate solution of 3D time-domain Maxwell's equations for dispersive materials
… for dispersive materials in a Streamline Upwind/Petrov-Galerkin framework is investigated. For this purpose the permittivity associated with a material is expressed as a matrix, enabling the solution of anisotropic material models with multiple poles. Here diagonally isotropic models with up to 2 …
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Superconvergence of Iterated Solutions for Linear and Nonlinear Integral Equations: Wavelet Applications
<p>In this dissertation, we develop the Petrov-Galerkin method and the iterated Petrov-Galerkin method for a class of nonlinear Hammerstein equation. We also investigate the superconvergence phenomenon of the iterated Petrov-Galerkin and degenerate kernel numerical solutions of linear and nonlinear …
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Analysis by Meshless Local Petrov-Galerkin Method of Material Discontinuities, Pull-in Instability in MEMS, Vibrations of Cracked Beams, and Finite Deformations of Rubberlike Materials
The Meshless Local Petrov-Galerkin (MLPG) method has been employed to analyze the following linear and nonlinear solid mechanics problems: free and forced vibrations of a segmented bar and a cracked beam, pull-in instability of an electrostatically actuated microbeam, and plane strain deformations …
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Integrated Sinc Method for Composite and Hybrid Structures
… form based approach called the Integrated Local Petrov-Galerkin Sinc Method. The Integrated Local Petrov-Galerkin Sinc Method is easily utilized for boundary-value problem on non-rectangular domains as demonstrated for analysis of elastic and elastic-plastic plane-stress panels with elliptical …
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ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ ΟΥΣΙΩΝ ΜΕ ΜΕΘΟΔΟΥΣ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ
… UPON FOUR FINITEELEMENT SCHEMES: A) THE STANDARD GALERKIN METHOD (SGM), B) THE MASS LUMPING FINITE ELEMENT METHOD (MLGM), C) THE SIMPLE MASS LUMPING FINITE ELEMENT METHOD (SMLGM) AND D) THE DISCONTINUOUS GALERKIN OR PETROV-GALERKIN METHOD (PGM). IN ALLTHESE COMPUTATIONAL SCHEMES ONE DIMENSIONAL …
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Design optimization of acoustic metamaterials and phononic crystals with a time domain method
… in the time-domain using a Streamline Upwind/Petrov Galerkin formulation. Topology parameterization is accomplished using the homogenization method, and shape optimization is subsequently used afterwards to refine the geometries. Surface parameterization is accomplished using control grids, …
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Métodos de elementos finitos mistos e malhas adaptativas na análise de cascas axissimétricas
… formulations are discussed. A consistent mixed Petrov-Galerkin formulation is considered in order to achieve both stability and accuracy. It consists in adding to the classical Galerkin formulation a residual form of the equilibrium equation in the interior of each element. Numerical …
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A wavelet-based numerical scheme for stochastic mechanics
… in pursuing the development of Wavelet based Galerkin and Petrov-Galerkin schemes for one-dimensional and two-dimensional stochastic mechanics problems.
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Error analysis of higher order time-domain finite element methods for the one-dimensional Maxwell's equations
A well known nodal discontinuous Galerkin finite element method has been extended for higher order temporal accuracy using several schemes. While common in computational fluid dynamics, less research has been conducted with these methods for computational electromagnetics. A stabilized finite …
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A 3-dimensional H-adaptive algorithm for groundwater flow and contaminant transport
… the time-dependent species transport equations. Petrov-Galerkin weighting of the advection terms provides numerical stability. An explicit time marching scheme is used to solve the transient equations. By utilizing unstructured adaptive meshing, concentration is accurately resolved; Benchmark …
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Formulações de elementos finitos bi e tridimensionais para simulação em paralelo de escoamentos em reservatórios de petróleo
… the velocity field. A stabilized consistent Petrov-Galerkin method is applied to the concentration equation combined with a implicit finite difference scheme in time. To solve the large systems of linear equations iterative Krylov projection type methods combined with an element-by-element …
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Modeling of high enthalpy flows for hypersonic re-entry and ground-based arc-jet testing
… numerical method based on the streamline upwind Petrov-Galerkin (SUPG) finite element formulation is utilized. A two-way loose coupling strategy between the flow solver and the electric field is introduced to achieve convergence. The methodology is first tested by modeling hypersonic axisymmetric …
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The First Passage Problem in Random Vibration for a Simple Hysteretic Oscillator
… from Markov process theory and solved by a Petrov-Galerkin finite element method. The first is known as a generalized Pontriagin-Vitt equation, which when solved yields the ordinary moments of time of first passage as a function of the oscillator's initial displacement, initial velocity and …
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