Browsing by Subject "Boundary conditions"
Now showing items 120 of 37

Article
Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity
(2012)In this article, we analyze the singular function boundary integral method (SFBIM) for a twodimensional biharmonic problem with one boundary singularity, as a model for the Newtonian stickslip flow problem. In the SFBIM, ...

Article
Boundary value problems for quasilinear ODEs
(2005)A priori bounds for the quasilinear ordinary differential equations (ODE), are discussed. A priori bounds for the derivative of the solution of onedimensional pLaplacian are proved. The global solvability of quasilinear ...

Article
Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times
(2005)We solve the onedimensional cessation Couette and Poiseuille flows of a Bingham plastic using the regularized constitutive equation proposed by Papanastasiou and employing finite elements in space and a fully implicit ...

Article
Comparison of two methods for the computation of singular solutions in elliptic problems
(1997)We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finiteelement method in which the solution is ...

Article
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
(2008)In this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simplyconnected domains into harmonic Dirichlet problems that are defined in the unit disk. We ...

Article
Conforming spectral methods for Poisson problems in cuboidal domains
(1994)A Chebyshev collocation strategy is introduced for the subdivision of cuboids into cuboidal subdomains (elements). These elements are conforming, which means that the approximation to the solution is C0 continuous at all ...

Article
Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and DirichletNeumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...

Article
Flow instabilities of HerschelBulkley fluids
(2003)We investigate numerically the interactions of twodimensional jets of Bingham plastic and HerschelBulkley fluids with a vertical surface at a distance from the die exit. This problem simulates the early stages of filling ...

Article
Flow instabilities of HerschelBulkley fluids
(2003)We investigate numerically the interactions of twodimensional jets of Bingham plastic and HerschelBulkley fluids with a vertical surface at a distance from the die exit. This problem simulates the early stages of filling ...

Article
A fully conforming spectral collocation scheme for second and fourthorder problems
(1995)A spectral element scheme is presented for the solution of second and fourthorder problems in two and three space dimensions. This scheme is based on a collocation formulation and, for a certain class of problems, results ...

Conference Object
Integrated levels of detail
(2006)We introduce a new mesh representation for arbitrary surfaces that integrates different levels of detail into the final representation. It is produced after remeshing an existing model and omits storing connectivity ...

Article
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems
(2003)We consider the solution of various boundary value problems for the Helmholtz equation in the unit square using a nodal cubic spline collocation method and modifications of it which produce optimal (fourth) order ...

Article
The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems
(1998)The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...

Article
The method of fundamental solutions for axisymmetric potential problems
(1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the first, the boundary conditions as well as the domain of the problem, are ...

Article
The method of fundamental solutions for layered elastic materials
(2001)In this paper, we investigate the application of the method of fundamental solutions to twodimensional elasticity problems in isotropic and anisotropic single materials and bimaterials. A domain decomposition technique ...

Article
The method of fundamental solutions for solving direct and inverse Signorini problems
(2015)Signorini problems model phenomena in which a known or unknown portion of the boundary is subjected to alternating Dirichlet and Neumann boundary conditions. In this paper, we apply the method of fundamental solutions (MFS) ...

Article
The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains
(2006)We propose an efficient boundary collocation method for the solution of certain two and threedimensional problems of steadystate heat conduction in Isotropie bimaterials. In particular, in two dimensions we consider the ...

Article
The method of fundamental solutions for threedimensional elastostatics problems
(2002)We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of ...

Article
The MFS for the solution of harmonic boundary value problems with nonharmonic boundary conditions
(2013)We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of twodimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...

Article
A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains
(1991)The way boundary conditions are imposed when applying Chebyshev collocation methods to Poisson and biharmonictype problems in rectangular domains is investigated. It is shown that careful selection of the number of ...