[图书][B] Symmetric Galerkin boundary element method
A Sutradhar, G Paulino, LJ Gray - 2008 - books.google.com
Symmetric Galerkin Boundary Element Method presents an introduction as well as recent
developments of this accurate, powerful, and versatile method. The formulation possesses …
developments of this accurate, powerful, and versatile method. The formulation possesses …
[HTML][HTML] Superconvergence and ultraconvergence of Newton–Cotes rules for supersingular integrals
J Li, X Zhang, D Yu - Journal of computational and applied mathematics, 2010 - Elsevier
In this article, the general (composite) Newton–Cotes rules for evaluating Hadamard finite-
part integrals with third-order singularity (which is also called “supersingular integrals”) are …
part integrals with third-order singularity (which is also called “supersingular integrals”) are …
How fluid-mechanical erosion creates anisotropic porous media
Using a Cauchy integral formulation of the boundary integral equations, we simulate the
erosion of a porous medium comprised of up to 100 solid bodies embedded in a two …
erosion of a porous medium comprised of up to 100 solid bodies embedded in a two …
A new transformation technique for evaluating nearly singular integrals
W Ye - Computational Mechanics, 2008 - Springer
Accurate evaluation of nearly singular integrals plays an important role in the overall
accuracy of the Boundary Element Method (BEM). A new approach for the evaluation of …
accuracy of the Boundary Element Method (BEM). A new approach for the evaluation of …
Superconvergence of Newton–Cotes rule for computing hypersingular integral on a circle
J Li, Y Cheng - Computational and Applied Mathematics, 2022 - Springer
In this paper, the composite Newton–Cotes rule for evaluating hypersingular integral on a
circle is investigated, we focus on the emphasis of the pointwise superconvergence. Taking …
circle is investigated, we focus on the emphasis of the pointwise superconvergence. Taking …
The extrapolation methods based on Simpson's rule for computing supersingular integral on interval
J Li - Applied Mathematics and Computation, 2017 - Elsevier
The Simpson's rule for the computation of supersingular integrals in boundary element
methods is discussed, and the asymptotic expansion of error function is obtained. A series to …
methods is discussed, and the asymptotic expansion of error function is obtained. A series to …
Regularization of divergent integrals: A comparison of the classical and generalized-functions approaches
VV Zozulya - Advances in Computational Mathematics, 2015 - Springer
This article considers methods of weakly singular and hypersingular integral regularization
based on the theory of distributions. For regularization of divergent integrals, the Gauss …
based on the theory of distributions. For regularization of divergent integrals, the Gauss …
Superconvergence of the composite rectangle rule for computing hypersingular integral on interval
J Li, Y Cheng, Z Li - Numreical Mathematics: Theory, Methods …, 2020 - doc.global-sci.org
The generalized middle rectangle rule for the computation of certain hypersingular integrals
is discussed. A generalized middle rectangle rule with the density function approximated …
is discussed. A generalized middle rectangle rule with the density function approximated …
[HTML][HTML] A unified approach with spectral convergence for the evaluation of hypersingular and supersingular integrals with a periodic kernel
C Yang - Journal of Computational and Applied Mathematics, 2013 - Elsevier
In this paper, a general class of methods is proposed for the evaluation of hypesingular/
supersingular integrals with a periodic integrand, of singularity higher than or equal to 2. The …
supersingular integrals with a periodic integrand, of singularity higher than or equal to 2. The …
A symmetric Galerkin BEM for plate bending analysis
T Panzeca, V Milana, M Salerno - European Journal of Mechanics-A/Solids, 2009 - Elsevier
The Symmetric Galerkin Boundary Element Method is employed in thin plate bending
analysis in accordance with the Love–Kirchhoff kinematical assumption. The equations are …
analysis in accordance with the Love–Kirchhoff kinematical assumption. The equations are …