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The discontinuous Petrov–Galerkin method
Acta NumericaThe discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition.
Leszek F. Demkowicz, Jay Gopalakrishnan
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Application of a Discontinuous Galerkin Method to Predict Airframe Noise [PDF]
, 2009 Unstructured grids greatly ease the mesh generation process in the case of complex geometries. The Discontinuous Galerkin Method (DGM) provides a robust, high-order accurate discretization even on this type of grid.
Marcus Bauer +5 more
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An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]
Journal of Applied and Computational MechanicsThe analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang +5 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
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Natural neighbour Galerkin methods [PDF]
International Journal for Numerical Methods in Engineering, 2000 Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme for multivariate data fitting and smoothing. The numerical implementation of natural neighbour co-ordinates in a Galerkin method is known as the natural element method (NEM).
Sukumar, N. +3 more
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Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]
, 2006 Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Abstract and Applied Analysis, 2014 A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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Advances in Mechanical Engineering, 2016 The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang +4 more
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Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]
مهندسی عمران شریفThe present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
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Perturbed Galerkin Method for Solving Integro-Differential Equations
Journal of Applied Mathematics, 2022 In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of ...
K. Issa +3 more
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