Results 31 to 40 of about 101,709 (214)

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]

, 2008
We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Alonso-Rodriguez, Amestoy, Benzi, Bernardi, Boissonnat, Bourdel, Buffa, Chew, Collino, Després, Després, Ern, Ern, Fezoui, Gander, George, Helluy, Hesthaven, Houston, Houston, Hénon, Karypis, Lee, Monk, Perugia, Piperno, Ratiu, Ronan Perrussel, Saad, Sleijpen, Stéphane Lanteri, Victorita Dolean, Vouvakis   +32 more
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Optimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

, 2011
We consider Galerkin finite element methods for semilinear stochastic partial differential equations (SPDEs) with multiplicative noise and Lipschitz continuous nonlinearities.
Kruse, Raphael
core   +1 more source

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

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.
Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin   +2 more
doaj   +1 more source

Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

, 2014
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
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Failure characteristics analysis of the inclined interlayer during water‐soluble cavity construction of underground salt caverns for large‐scale energy storage

Deep Underground Science and Engineering, EarlyView.
In the process of water‐soluble cavern construction of salt cavern energy storage, since the interlayer does not dissolve in water easily, sudden collapse will cause engineering accidents such as bending and damage of the inner tube of the cavern.
Zenghui Zhao, Tianyu Li, Qing Ma, Junlong Shang, Jiaze Du, Ruizhe He   +5 more
wiley   +1 more source

Interval element-free Galerkin method for uncertain mechanical problems

Advances in Mechanical Engineering, 2018
An interval element-free Galerkin method was proposed to solve some issues in structural design and analysis of structural parameters that have errors or uncertainties caused by manufacture, installation, measurement, or computation.
Li Ming Zhou, Erfei Zhao, Shuhui Ren
doaj   +1 more source

Numerical and experimental study on P‐wave propagation across a rock joint with different orientations

Deep Underground Science and Engineering, EarlyView.
Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei, Mojtaba D. fallahi, Ali Uromeihy, Mohammad R. Nikoodel, Mohammad Fathollahy   +4 more
wiley   +1 more source

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This 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
doaj   +1 more source

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Abstract and Applied Analysis, 2014
A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is ...
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source

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, Ginting, Victor, Henning, Patrick   +2 more
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