Results 61 to 70 of about 101,709 (214)

hp-version interior penalty DGFEMs for the biharmonic equation [PDF]

open access: yes, 2004
We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric ...
Mozolevski, Igor, Suli, Endre
core   +1 more source

An Efficient Method for Transient Temperature Calculation in Oil Natural Transformers Based on the Time‐Space Proper Orthogonal Decomposition

open access: yesHigh Voltage, EarlyView.
ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan   +5 more
wiley   +1 more source

A priori error estimates for a discretized poro-elastic–elastic system solved by a fixed-stress algorithm

open access: yesOil & Gas Science and Technology, 2019
We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette   +3 more
doaj   +1 more source

Symplectic Model Reduction of Hamiltonian Systems [PDF]

open access: yes, 2015
In this paper, a symplectic model reduction technique, proper symplectic decomposition (PSD) with symplectic Galerkin projection, is proposed to save the computational cost for the simplification of large-scale Hamiltonian systems while preserving the ...
Mohseni, Kamran, Peng, Liqian
core  

Volume Quantization with Flexible Singularities for Hexahedral Meshing

open access: yesComputer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface

open access: yesDiscrete Dynamics in Nature and Society, 2011
Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method.
F. Talay Akyildiz   +2 more
doaj   +1 more source

Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]

open access: yes, 2015
We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
core   +1 more source

Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case

open access: yes, 2014
We analyze the theoretical properties of an adaptive Legendre-Galerkin method in the multidimensional case. After the recent investigations for Fourier-Galerkin methods in a periodic box and for Legendre-Galerkin methods in the one dimensional setting ...
Canuto, Claudio   +2 more
core   +1 more source

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

open access: yesInternational 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
wiley   +1 more source

A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows

open access: yes, 2018
Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is then considered as a solver parameter that is set to a small value, $\mathrm{
Arndt   +48 more
core   +1 more source

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