On the Numerical Evaluation of the Testing Integrals for the Galerkin Discretization of Surface Integral Equations [PDF]
, 2010 Graglia, Roberto +9 more
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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
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 +3 more
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A posteriori error estimates for hypersingular integral equation on spheres with spherical splines
, 2019 A posteriori residual and hierarchical upper bounds for the error estimates were proved when solving the hypersingular integral equation on the unit sphere by using the Galerkin method with spherical splines.
Pham, Duong Thanh, Le, Tung
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An approximation method for the hypersingular heat operator equation
, 2000 The original model problem is the two-dimensional heat conduction problem with vanishing initial data and a given Neumann-type boundary condition. In particular, certain choices of the representation formula for the heat potential yield the hypersingular
Hamina, Martti, Martti Hamina
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Advanced materials modelling via fractional calculus: challenges and perspectives. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Failla G, Zingales M.
europepmc +1 more source
Field-only surface integral equations: scattering from a perfect electric conductor. [PDF]
J Opt Soc Am A Opt Image Sci Vis, 2020 Sun Q, Klaseboer E, Yuffa AJ, Chan DYC.
europepmc +1 more source
A new Singular/Hypersingular MLPG (LBIE) method for 2D elastostatics
, 2005 A new meshless local Petrov-Galerkin (MLPG) type method based on local boundary integral equation (LBIE) considerations is proposed for the solution of elastostatic problems. It is called singular/hypersingular MLPG (LBIE) method since the representation
E. J. Sellountos +2 more
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, 2007 A three-dimensional crack problem in electromagnetothermoelastic multiphase composites (EMTE-MCs) under extended loads is investigated in this paper.
Bojing, Zhu +3 more
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Modified homotopy perturbation method for solving hypersingular integral equations of the first kind. [PDF]
Springerplus, 2016 Eshkuvatov ZK +3 more
europepmc +1 more source