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Illumination in the Presence of Weak Singularities
"... Summary. Approximating illumination by point light sources, as done in many professional applications, allows for efficient algorithms, but suffers from the problem of the weak singularity: Besides avoiding numerical exceptions caused by the division by the squared distance between the point light s ..."
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Cited by 15 (0 self)
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Summary. Approximating illumination by point light sources, as done in many professional applications, allows for efficient algorithms, but suffers from the problem of the weak singularity: Besides avoiding numerical exceptions caused by the division by the squared distance between the point light
A Weakly Singular Integral Equation
, 2007
"... Superconvergence of projection methods for weakly singular integral operators ..."
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Superconvergence of projection methods for weakly singular integral operators
Plane waves with weak singularities
 JHEP 0311 (2003) 064, hepth/0303013
"... Abstract: We study a class of time dependent solutions of the vacuum Einstein equations which are plane waves with weak null singularities. This singularity is weak in the sense that though the tidal forces diverge at the singularity, the rate of divergence is such that the distortion suffered by a ..."
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Cited by 9 (0 self)
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Abstract: We study a class of time dependent solutions of the vacuum Einstein equations which are plane waves with weak null singularities. This singularity is weak in the sense that though the tidal forces diverge at the singularity, the rate of divergence is such that the distortion suffered by a
PLURICOMPLEX CHARGE AT WEAK SINGULARITIES
, 2005
"... Abstract. Let u be a plurisubharmonic function, defined on a neighbourhood of a point x, such that the complex MongeAmpère operator is welldefined on u. Suppose also that u has a weak singularity, in the sense that the Lelong number of u at x vanish. Is it true that the residual mass of the measur ..."
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Abstract. Let u be a plurisubharmonic function, defined on a neighbourhood of a point x, such that the complex MongeAmpère operator is welldefined on u. Suppose also that u has a weak singularity, in the sense that the Lelong number of u at x vanish. Is it true that the residual mass
Subextension of plurisubharmonic functions with weak singularities
, 2004
"... around 1978 that any smooth bounded domain satisfying certain boundary conditions is a domain of existence of a plurisubharmonic function. However since plurisubharmonic functions occur in complex analysis ..."
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Cited by 18 (6 self)
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around 1978 that any smooth bounded domain satisfying certain boundary conditions is a domain of existence of a plurisubharmonic function. However since plurisubharmonic functions occur in complex analysis
2003a): On Simple Formulations of WeaklySingular Traction
 Displacement BIE, and Their Solutions through PetrovGalerkin Approaches, CMES: Computer Modeling in Engineering & Sciences
"... Abstract: Using the directly derived nonhyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward derivations of weakly singular traction BIE’s for solids undergoing small deformations are presented. A large number of “intr ..."
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Cited by 25 (21 self)
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Abstract: Using the directly derived nonhyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward derivations of weakly singular traction BIE’s for solids undergoing small deformations are presented. A large number
A Systematic Approach for the Development of Weakly–Singular BIEs
 CMES: Computer Modeling in Engineering & Sciences
, 2007
"... Abstract: Straightforward systematic derivations of the weakly singular boundary integral equations (BIEs) are presented, following the simple and directlyderived approach by Okada, Rajiyah, and Atluri (1989b) and Han and Atluri (2002). A set of weakforms and their algebraic combinations have be ..."
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Cited by 10 (7 self)
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Abstract: Straightforward systematic derivations of the weakly singular boundary integral equations (BIEs) are presented, following the simple and directlyderived approach by Okada, Rajiyah, and Atluri (1989b) and Han and Atluri (2002). A set of weakforms and their algebraic combinations have
Results 1  10
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1,692