Browsing by Subject "Boundary conditions"
Now showing items 2137 of 37

Article
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 ...

Article
Offequilibrium scaling behaviors across firstorder transitions
(2015)We study offequilibrium behaviors at firstorder 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 ...

Article
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 threedegreesoffreedom theory that describes the plane motion of shear ...

Article
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 ...

Article
Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for BoseEinstein 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 ...

Article
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 biharmonictype problems in cuboidal domains is presented. This strategy leads, in both ...

Article
The singular function boundary integral method for 3D Laplacian problems with a boundary straight edge singularity
(2012)Threedimensional Laplace problems with a boundary straightedge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...

Article
The singular function boundary integral method for a twodimensional fracture problem
(2006)The singular function boundary integral method (SFBIM) originally developed for Laplacian problems with boundary singularities is extended for solving twodimensional fracture problems formulated in terms of the Airy stress ...

Article
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, ...

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 ...

Article
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving twodimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...

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 ...

Article
The solution of Laplacian problems over Lshaped 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 Lshaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, ...

Article
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 ...

Article
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 ...

Article
Steadystate nonlinear heat conduction in composite materials using the method of fundamental solutions
(2008)The steadystate 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 ...

Article
Worldline path integral for the massive Dirac propagator: A fourdimensional 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 ...