Boundary element method for out-of-plane elasticity and other two dimensional problems

Ahmad, Syed Ateeq


Boundary element formulation for dynamic analysis of a two-phase composite with applications to solid-solid interaction problems
Tüydeş, Hediye; Mengi, Yalçın; Department of Engineering Sciences (1997)
Boundary element method solution of initial and boundary value problems in fluid dynamics and magnetohydrodynamics
Bozkaya, Canan; Tezer, Münevver; Department of Mathematics (2008)
In this thesis, the two-dimensional initial and boundary value problems invol\-ving convection and diffusion terms are solved using the boundary element method (BEM). The fundamental solution of steady magnetohydrodynamic (MHD) flow equations in the original coupled form which are convection-diffusion type is established in order to apply the BEM directly to these coupled equations with the most general form of wall conductivities. Thus, the solutions of MHD flow in rectangular ducts and in infinite regions...
Boundary element solution of unsteady magnetohydrodynamic duct flow with differential quadrature time integration scheme
Bozkaya, Canan; Tezer, Münevver (Wiley, 2006-06-20)
A numerical scheme which is a combination of the dual reciprocity boundary element method (DRBEM) and the differential quadrature method (DQM), is proposed for the solution of unsteady magnetohydro-dynamic (MHD) flow problem in a rectangular duct with insulating walls. The coupled MHD equations in velocity and induced magnetic field are transformed first into the decoupled time-dependent convection-diffusion-type equations. These equations are solved by using DRBEM which treats the time and the space deriva...
Boundary element method formulation and its solution in forward problem of electrocardiography by using a realistic torso model
Kurt, Arda; Weber, Gerhard Wilhelm; Department of Scientific Computing (2006)
The electrical currents generated in the heart propagate to the outward direction of the body by means of conductive tissues and these currents yield a potential distribution on the body surface. This potential distribution is recorded and analyzed by a tool called electrocardiogram. It is not a problem, if this process continues normally; however, when it is distorted by some abnormalities, the results will be fatal. Electrocardiography (ECG) is the technique dealing with the acquisition and interpretation...
Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field
Tezer, Münevver; Bozkaya, Canan (Springer Science and Business Media LLC, 2008-03-01)
The magnetohydrodynamic (MHD) flow of an incompressible, viscous, electrically conducting fluid in a rectangular duct with one conducting and one insulating pair of opposite walls under an external magnetic field parallel to the conducting walls, is investigated. The MHD equations are coupled in terms of velocity and magnetic field and cannot be decoupled with conducting wall boundary conditions since then boundary conditions are coupled and involve an unknown function. The boundary element method (BEM) is ...
Citation Formats
S. A. Ahmad, “Boundary element method for out-of-plane elasticity and other two dimensional problems,” Middle East Technical University, 1994.