Closed-form inverses of the weakly singular and hypersingular operators on disks

Closed-form inverses of the weakly singular and hypersingular operators on disks

We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks. Moreover, we provide explicit closed forms for them and prove the continuity and ellipticity of their corresponding bilinear forms in the natu...

Bibliografske podrobnosti
Main Authors:	Hiptmair, R, Jerez-Hanckes, C, Urzúa-Torres, C
Format:	Journal article
Jezik:	English
Izdano:	Springer Verlag 2018

Podobne knjige/članki

Optimal operator preconditioning for Galerkin boundary element methods on 3-dimensional screens
od: Hiptmair, R, et al.
Izdano: (2020)

Fast spectral Galerkin method for logarithmic singular equations on a segment
od: Jerez-Hanckes, C, et al.
Izdano: (2017)

Compact equivalent inverse of the electric field integral operator on screens
od: Urzua-Torres, C, et al.
Izdano: (2020)

Numerical methods of computation of singular and hypersingular integrals
od: I. V. Boikov
Izdano: (2001-01-01)

Regular, Singular and Hypersingular Integrals over Fractal Contours
od: Ilya Boykov, et al.
Izdano: (2023-11-01)

Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels
od: Ilya Boykov, et al.
Izdano: (2022-03-01)

Preconditioning the EFIE on Screens
od: Urzua-Torres, C, et al.
Izdano: (2020)

Hypersingular integrals and their applications /
od: Samko, S. G. (Stefan Grigorevich)
Izdano: (2002)

Fast Approximation of Algebraic and Logarithmic Hypersingular Type Singular Integrals with Highly Oscillatory Kernel
od: Idrissa Kayijuka, et al.
Izdano: (2020-09-01)

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function
od: M. R. Elahi, et al.
Izdano: (2023-01-01)

Gauss-Jacobi quadratures for hypersingular integrals
od: Korsunsky, A
Izdano: (2014)

Numerical solution of hypersingular integral equations.
od: Nik Long, Nik Mohd Asri, et al.
Izdano: (2011)

Approximate methods for calculating hypersingular integrals
od: I.V. Boykov, et al.
Izdano: (2021-03-01)

Micromechanical models based on hypersingular integro-differential equations for analyzing weak interfaces between dissimilar orthotropic materials
od: Wang, Xue
Izdano: (2015)

Automatic quardrature sceheme for evaluating hypersingular intergrals.
od: Obaiys, Susan J., et al.
Izdano: (2012)

Hypersingular Integral Equations Encountered in Problems of Mechanics
od: Suren M. Mkhitaryan, et al.
Izdano: (2024-11-01)

On the use of interpolative quadratures for hypersingular integrals in fracture mechanics
od: Korsunsky, A
Izdano: (2002)

On the use of interpolative quadratures for hypersingular integrals in fracture mechanics
od: Korsunsky, A
Izdano: (2002)

On the general solution of first-kind hypersingular integral equations
od: Obaiys, Suzan Jabbar, et al.
Izdano: (2016)

A Chebyshev polynomial based quadrature for hypersingular integrals
od: Obaiys, Suzan J., et al.
Izdano: (2011)

Composite trapezoidal quadrature for computing hypersingular integrals on interval
od: Xiaoping Zhang, et al.
Izdano: (2024-12-01)

Kolmogorov-type inequalities for hypersingular integrals with homogeneous characteristics
od: V.F. Babenko, et al.
Izdano: (2024-12-01)

The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval
od: Jin Li, et al.
Izdano: (2013-01-01)

Hypersingular integro-differential equations with power factors in coefficients
od: Andrei P. Shilin
Izdano: (2019-11-01)

Homotopy perturbation method for the hypersingular integral equations of the first kind
od: K.Eshkuvatov, Zainidin, et al.
Izdano: (2018)

Numerical solutions of hypersingular integrals and integral equations of the first kind
od: Obaiys, Suzan Jabbar
Izdano: (2013)

Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations
od: Ilya Boykov, et al.
Izdano: (2020-07-01)

Hypersingular Integro-Differential Equation Containing Polynomials and Their Derivatives in Coefficients
od: Andrei P. Shilin
Izdano: (2023-12-01)

Homotopy perturbation method for the hypersingular integral equations of the first kind
od: Zainidin K. Eshkuvatov, et al.
Izdano: (2018-12-01)

Solution of one hypersingular integro-differential equation defined by determinants
od: Andrei P. Shilin
Izdano: (2021-08-01)

Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces
od: Feras M. Al Faqih
Izdano: (2012-01-01)

Profile Inversion and Closed Form Formulation of Compact GRIN Lenses
od: Francesca Maggiorelli, et al.
Izdano: (2021-01-01)

Modified homotopy perturbation method for integro-differential and hypersingular integral equations
od: Zulkarnain, Fatimah Samihah
Izdano: (2018)

Hypersingular integral equation for multiple curved cracks problem in plane elasticity.
od: Nik Long, Nik Mohd Asri, et al.
Izdano: (2009)

Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
od: Bichi, Sirajo Lawan, et al.
Izdano: (2014)

Modified spline functions and chebyshev polynomials for the solution of hypersingular integrals problems
od: Bichi, Lawan Sirajo
Izdano: (2015)

Solution of Contact Problem for an Arc Crack using Hypersingular intergral Equation
od: Chen, Y. Z., et al.
Izdano: (2008)

Hypersingular Integral Equations of Prandtl’s Type: Theory, Numerical Methods, and Applications
od: Ilya Boykov, et al.
Izdano: (2022-12-01)

The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup
od: Melih Eryiğit, et al.
Izdano: (2020-08-01)

Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels
od: Songyan Zhang, et al.
Izdano: (2008-12-01)