Results 51 to 60 of about 8,904 (236)
An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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Modeling Floating Potential Conductors Using Discontinuous Galerkin Method
IEEE Access, 2020 Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors.
Liang Chen, Ming Dong, Hakan Bagci
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Инженерные технологии и системы, 2021 Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin +3 more
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An Introduction to the Hybridizable Discontinuous Galerkin Method [PDF]
, 2021 The final publication is available at link.springer.com This chapter in intended to be a didactical introduction to the Hybridizable Discontinuous Galerkin (HDG) method, including the formulation and its implementation. The Laplace and Stokes equations are considered as representative problems with self-adjoint operators, accounting for the ...
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley +1 more source
Reduced Order Modelling of Shigesada-Kawasaki-Teramoto Cross-Diffusion Systems
Journal of Mathematical Sciences and Modelling, 2023 Shigesada-Kawasaki-Teramoto (SKT) is the most known equation in population ecology for nonlinear cross-diffusion systems. The full order model (FOM) of the SKT system is constructed using symmetric interior penalty discontinuous Galerkin method (SIPG ...
Gülden Mülayim
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Adaptive discontinuous Galerkin methods on surfaces [PDF]
Numerische Mathematik, 2015 26 pages, 11 figures.
Andreas Dedner, Pravin Madhavan
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Robust Interior Penalty Discontinuous Galerkin Methods
Journal of Scientific Computing, 2022 Classical interior penalty discontinuous Galerkin (IPDG) methods for diffusion problems require a number of assumptions on the local variation of mesh-size, polynomial degree, and of the diffusion coefficient to determine the values of the, so-called, discontinuity-penalization parameter and/or to perform error analysis.
Dong, Zhaonan, Georgoulis, Emmanuil
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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, 2008 We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Dolean Maini, Victorita +3 more
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