Results 31 to 40 of about 12,503 (235)
Advances in Mathematical Physics, 2017 We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
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Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]
, 2013 We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3. An interior penalty (IP) method is introduced on a discrete surface and we derive a priori error estimates ...
Stinner, Björn +5 more
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Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
Results in Applied MathematicsThis paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
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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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Slat Noise Prediction using Discontinuous Galerkin Method and Stochastic Turbulent Sound Source [PDF]
, 2010 A promising way to predict airframe noise is the numerical solution of the Acoustic Perturbation Equations (APE) with the help of the Discontinuous Galerkin Method (DGM) and the Fast Random Particle Mesh (FRPM) method.
Marcus Bauer +3 more
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Numerical analysis of the neutron multigroup $SP_N$ equations
Comptes Rendus. Mathématique, 2021 The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.
Jamelot, Erell, Madiot, François
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Discontinuous Galerkin methods with Trefftz approximations
Journal of Computational and Applied Mathematics, 2014 14 pages, 12 figures, preprint submitted at J Comput ...
Fritz Kretzschmar +3 more
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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ESAIM: Proceedings and Surveys, 2014 In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm.
Santugini Kévin
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SoftwareX, 2018 The Discontinuous Element Insertion Program is a MATLAB/Octave toolbox for inserting zero-thickness interface elements into two and three dimensional finite element meshes.
Timothy J. Truster
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