Results 51 to 60 of about 68,141 (218)
A multilevel discontinuous Galerkin method [PDF]
Numerische Mathematik, 2003 With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Jay Gopalakrishnan, Guido Kanschat
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
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Results in Applied MathematicsThe research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations ...
Anna Piterskaya, Mikael Mortensen
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Advanced Modeling and Simulation in Engineering Sciences, 2019 This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
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Automated code generation for discontinuous Galerkin methods
, 2008 A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors conventional mathematical notation, and the compiler generates efficient code in a ...
Logg, Anders +2 more
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Modeling n‐Butyl Acrylate Polymerization using Complementary Modeling Techniques
Macromolecular Reaction Engineering, EarlyView.Two different simulation methods are used for the radical polymerization of nBA: deterministic in Predici and stochastic with mcPolymer. It has been successfully implemented across a wide temperature range. It turns out that the partially different implementation of chain‐length‐dependent termination and β‐scission are important for obtaining ...
Marco Drache +3 more
wiley +1 more source
Journal of Inequalities and Applications, 2010 We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj
Stabilized approximation of steady flow of third grade fluid in presence of partial slip
Results in Physics, 2017 This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed +3 more
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Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method
, 2011 We present the first numerical code based on the Galerkin and Collocation methods to integrate the field equations of the Bondi problem. The Galerkin method like all spectral methods provide high accuracy with moderate computational effort.
Boyd J +14 more
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