Results 51 to 60 of about 37,916 (260)
International Journal for Numerical Methods in Fluids, EarlyView.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
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Results in Applied Mathematics, 2020 An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport ...
Maurice S. Fabien +2 more
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Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]
, 2006 An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.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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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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A sharp error analysis for the DG method of optimal control problems
AIMS Mathematics, 2022 In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Galerkin method with arbitrary order $ r \in \mathbb{N}\cup \{0\} $.
Woocheol Choi , Young-Pil Choi
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
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AIMS Mathematics, 2016 A high-order Symmetric Interior Penalty discontinuous Galerkin (SIPG) method has been used for solving the incompressible Navier-Stokes equation. We apply the temporal splitting scheme in time and the SIPG discretization in space with the local Lax ...
Lunji Song, Charles O’Neill
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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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On Multiscale Methods in Petrov-Galerkin formulation [PDF]
, 2014 In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel +2 more
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