Results 51 to 60 of about 186 (123)

New formulations for evaluating hypersingular and strongly singular integrals in electromagnetic integral equations

, 2010
Electromagnetic (EM) integral equations include the singular integral kernels related to the Green's function. For surface integral equations (SIEs), there are two kinds of kernels, i.e. the L operator and K operator. The L operator is the dyadic Green's
Tong, MS, Chew, WC
core   +1 more source

On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces

, 2008
In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
core  

Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations

, 2017
For the non-preconditioned Galerkin matrix of the hypersingular integral operator, the condition number grows with the number of elements as well as the quotient of the maximal and the minimal mesh-size.
Führer, Thomas, Feischl, M., Feischl, Michael, Stephan, E., Praetorius, Dirk, Praetorius, D., Stephan, Ernst P.   +6 more
core   +1 more source

On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation [PDF]

, 2019
International audienceWe present a Calderón preconditioner for the electric field integral equation (EFIE), which does not require a barycentric refinement of the mesh and which yields a Hermitian, positive definite (HPD) system matrix allowing for the ...
Andriulli, F. P., Adrian, S, B, Andriulli, F, P, Adrian, S. B., Eibert, T. F., Eibert, T, F   +5 more
core   +1 more source

Residual-based a posteriori error estimate for hypersingular equation on surfaces [PDF]

, 2004
The hypersingular integral equation of the first kind equivalently describes screen and Neumann problems on an open surface piece. The paper establishes a computable upper error bound for its Galerkin approximation and so motivates adaptive mesh refining
Carsten Carstensen, M Maischak, E P Stephan, D Praetorius   +3 more
core  

Well-posedness and Wavelet-based Approximations for Hypersingular Integral Equations

, 1995
The main object of this thesis is to investigate the hypersingular integral equations which arise in Boundary Element (BE) models for crack problems. Although the associated hypersingular integrals are not defined in the usual sense, we interpret them in
Chen, Suyun
core  

Semi-analytical calculation of the singular and hypersingular integrals for discrete Helmholtz operators in 2D BEM

CoRR, 2019
Approximate solutions to elliptic partial differential equations with known kernel can be obtained via the boundary element method (BEM) by discretizing the corresponding boundary integral operators and solving the resulting linear system of algebraic equations. Due to the presence of singular and hypersingular integrals, the evaluation of the operator
openaire   +2 more sources

Closed-Form Inverses of the Weakly Singular and Hypersingular Operators on Disks

, 2018
We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks.
Jerez-Hanckes, C, Urzua-Torres, C., Hiptmair, Ralf, C. Urzúa-Torres, Urzúa-Torres, C, Urzúa-Torres, Carolina, C. Jerez-Hanckes, R. Hiptmair, Jerez-Hanckes, C., Hiptmair, R   +9 more
core   +1 more source

A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element method

, 2009
International audienceThe symmetric Galerkin boundary element method is used to solve boundary value problems by keeping the symmetric nature of the matrix obtained after discretization.
Bonnet, Guy
core   +1 more source

Investigation on the Normal Derivative Equation of Helmholtz Integral Equation in Acoustics

, 2005
Taking the normal derivative of solid angles on the surface into account, a modified Burton and Miller's formulation is derived. From which, a more reasonable expression of the hypersingular operator is obtained.
Zai You Yan, Fang Sen Cui, Kin Chew Hung
core   +1 more source