Results 41 to 50 of about 37,719 (241)

Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]

open access: yes, 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
core   +1 more source

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

open access: yesAbstract 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

Failure characteristics analysis of the inclined interlayer during water‐soluble cavity construction of underground salt caverns for large‐scale energy storage

open access: yesDeep 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   +5 more
wiley   +1 more source

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

open access: yesResults 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

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

open access: yesDeep 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   +4 more
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

open access: yes, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Modeling proppant transport and settling in a 3D propagating fracture

open access: yesDeep Underground Science and Engineering, EarlyView.
A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert   +2 more
wiley   +1 more source

Application of a Discontinuous Galerkin Method to Predict Airframe Noise [PDF]

open access: yes, 2009
Unstructured grids greatly ease the mesh generation process in the case of complex geometries. The Discontinuous Galerkin Method (DGM) provides a robust, high-order accurate discretization even on this type of grid.
Marcus Bauer   +5 more
core   +1 more source

Saddle point least squares and Petrov-Galerkin methods applied to reaction-diffusion and convection-diffusion equations [PDF]

open access: yes, 2023
Bacuta, ConstantinWe present new results on both saddle point least-squares and Petrov-Galerkin methods applied to reaction-diffusion and convection-diffusion equations.
Hayes, Daniel
core   +1 more source

Stability-preserving model order reduction for linear stochastic Galerkin systems

open access: yesJournal of Mathematics in Industry, 2019
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
doaj   +1 more source

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