Browsing by Subject "Boundary conditions"
Now showing items 21-37 of 37
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Numerical investigation of the nonlinear heat diffusion equation with high nonlinearity on the boundary
(2008)A nonlinear heat diffusion problem is considered when the thermal conductivity and heat capacity are nonlinear functions of the temperature. At one of the boundaries a highly nonlinear condition is imposed involving both ...
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Off-equilibrium scaling behaviors across first-order transitions
(2015)We study off-equilibrium behaviors at first-order transitions (FOTs) driven by a time dependence of the temperature across the transition point Tc, such as the linear behavior T(t)/Tc=1±t/ts where ts is a time scale. In ...
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On shear deformable beam theories: The frequency and normal mode equations of the homogeneous orthotropic bickford beam
(2001)This paper provides a step forwards the construction and documentation of the frequency equations and the characteristic functions of a general three-degrees-of-freedom theory that describes the plane motion of shear ...
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Piecewise linear emulation of propagating fronts as a method for determining their speeds
(2003)The selected speed of pushed fronts was found through analytic calculations. The resulting analytic solution constitutes an excellent approximation to the exact propagating front, yielding also the correct value for the ...
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Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for Bose-Einstein condensates
(2003)A most general method for finding very good analytic approximate solutions to the cubic nonlinear Schrodinger equation is presented. This method applies whenever the nonlinearity in that equation is a purely cubic one. It ...
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Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains
(1994)A collocation strategy for the satisfaction of boundary conditions in the application of Chebyshev spectral methods to Poisson and biharmonic-type problems in cuboidal domains is presented. This strategy leads, in both ...
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The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
(2012)Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...
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The singular function boundary integral method for a two-dimensional fracture problem
(2006)The singular function boundary integral method (SFBIM) originally developed for Laplacian problems with boundary singularities is extended for solving two-dimensional fracture problems formulated in terms of the Airy stress ...
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The singular function boundary integral method for biharmonic problems with crack singularities
(2007)We use the singular function boundary integral method (SFBIM) to solve two model fracture problems on the plane. In the SFBIM, the solution is approximated by the leading terms of the local asymptotic solution expansion, ...
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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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The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving two-dimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...
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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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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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Special boundary approximation methods for laplace equation problems with boundary singularities- Applications to the motz problem
(2006)We investigate the convergence of special boundary approximation methods (BAMs) used for the solution of Laplace problems with a boundary singularity. In these methods, the solution is approximated in terms of the leading ...
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A spectral mortar element discretization of the Poisson equation with mixed boundary conditions
(2007)In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and ...
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Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions
(2008)The steady-state heat conduction in composite (layered) heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving convection and radiation is investigated using the method of ...
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Worldline path integral for the massive Dirac propagator: A four-dimensional approach
(1999)We simplify and generalize an approach proposed by Di Vecchia and Ravndal to describe a massive Dirac particle in external vector and scalar fields. Two different path integral representations for the propagator are derived ...