Browsing by Subject "Integral equations"
Now showing items 21-28 of 28
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Article
A singular function boundary integral method for laplacian problems with boundary singularities
(2006)A singular function boundary integral method for Laplacian problems with boundary singularities is analyzed. In this method, the solution is approximated by the truncated asymptotic expansion for the solution near the ...
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Conference Object
The singular function boundary integral method for Laplacian problems with boundary singularities in two and three-dimensions
(2010)We present a Singular Function Boundary Integral Method (SFBIM) for solving elliptic problems with a boundary singularity. In this method the solution is approximated by the leading terms of the asymptotic solution expansion, ...
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Article
A singular function boundary integral method for the laplace equation
(1996)The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic ...
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Article
The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
(2002)The singular function boundary integral method is applied for the solution of a Laplace equation problem over an L-shaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, ...
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Article
Solving Laplacian problems with boundary singularities: A comparison of a singular function boundary integral method with the p/hp version of the finite element method
(2005)We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the solution is approximated by the leading terms of ...
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Article
Transient planar squeeze flow of semi-concentrated fiber suspensions using the Dinh-Armstrong model
(2007)Numerical simulations are undertaken for the transient squeeze flow between parallel plates under a constant load. The conservation equations are solved via the finite element method in space and the Crank-Nicolson method ...
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Conference Object
Tunable excitons in gated graphene systems
(SPIE, 2017)We develop a microscopic theory of a strong electromagnetic radiation interaction with bilayer graphene where an energy gap is opened by a static electric field perpendicular to graphene planes. We show that an adiabatic ...
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Article
Unsteady flow of semi-concentrated suspensions using finite deformation tensors
(1994)The interest in the theoretical investigation of the flow behavior of fiber suspensions during manufacturing processes has increased considerably due to the increased interest in the use of composite materials. The unsteady ...