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About 10,000 papers for “Boundary element method”

Boundary‐Element Method

Alain J. Kassab, L.C. Wrobel, Ryszard A. Białecki et al. · Journal of International Crisis and Risk Communication Research · 2000

This chapter contains sections titled: Introduction BEM for Steady Heat Conduction BEM for Steady Heat Conduction with Generation BEM for Transient Heat Conduction Problems Further Issues in BEM Modeling of Heat Transfer Closing Remarks Nomenclature References

Cited by 19Open access

Adaptive boundary element method.

Weiwei Sun · Scholarship at UWindsor (University of Windsor) · 1991

d y o f t h * a d a p t i v e boundary element method, a subject which has been explored intensively during the last few years.In this thesis, a systematic simulation for the adaptive r-method is presented for the Laplace's equation with constant, linear and quadratic elements and the equations of linear elasticity with linear and quadratic elements.The stability, singularity, advantages, disadvantages and limitations of

Cited by 2Open access

Probabilistic boundary element method

Raveendra, S. T., Cruse, T. A. · NASA Technical Reports Server (NASA)

The purpose of the Probabilistic Structural Analysis Method (PSAM) project is to develop structural analysis capabilities for the design analysis of advanced space propulsion system hardware. The boundary element method (BEM) is used as the basis of the Probabilistic Advanced Analysis Methods (PADAM) which is discussed. The probabilistic BEM code (PBEM) is used to obtain the structural response and sensitivity results to a set of random variables. As such, PBEM performs analogous to other structural analysis codes such as finite elements in the PSAM system. For linear problems, unlike the finite element method (FEM), the BEM governing equations are written at the boundary of the body only, thus, the method eliminates the need to model the volume of the body. However, for general body force problems, a direct condensation of the governing equations to the boundary of the body is not possible and therefore volume modeling is generally required.

Cited by 0Open access

The boundary element method

L. R. Ram‐Mohan · 2002

Abstract The boundary element method (BEM) is based on an integral equation formulation for the solution of differential equations. As we have seen in the context of the finite element method (FEM), analytical methods become cumbersome when the geometrical shape of the physical domain is complex or when the boundary conditions (BCs) for the physical property being calculated are complicated. If there are inhomogeneous terms in the differential equation, they lead to a "particular integral" which is difficult to evaluate in a direct analytical manner. In general, inhomogeneous terms in the differential equation are treated by the method of Green’s function. A somewhat lengthy, but self-contained, exposition in Appendix C introduces the essential ideas of the Green’s function technique. We show below that by using Green’s theorem of vector calculus we can convert the differential equation under consideration into an integral equation on the boundary of the physical region. The discretization of the boundary integral leads to self-consistency conditions for the solution at the boundary. Once the solution at the boundary is obtained, the construction of the solution in the interior region proceeds in a straightforward manner. Thus the BEM employs the discretization of only the boundary, and not the interior of the physical region. This is a distinct advantage over the FEM, in which the entire physical region is discretized, which in turn leads to fairly large global matrices. The "reduction in dimensionality" associated with the BEM gives rise to global matrices of much fewer dimensions.

Cited by 41

Subregion Boundary Element Method.

Eisuke Kita, Norio Kamiya · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 1993

This paper concerns a new boundary element analysis approach for the object divided into subregions. In this approach, the matrix equation for each subregion derived from the boundary integral equation is transformed to an equation similar to the stiffness equation of finite element method (FEM). The global equation is made by superposition of these matrix equations, which is simple and general, while the existing approach depends on the initial boundary. The present approach is derived theoretically and is compared with the existing ones in order to indicate its features. Then, it will be applied to analysis of two-dimensional elastic and potential problems.

Cited by 3Open access