Coupling of Natural Boundary Element Method and Finite Element Method for Three-dimensional Nonlinear Interface Problem Hong-ying Huang2,1 and De-hao Yu 2 Summary In this paper, we apply the coupling of natural boundary element method and finite element method to solve a three-dimensional nonlinear interface problem. Two equations are coupled by interface conditions on the interface boundary. A...

The main objective of this primer is to make the boundary element method more usable, not only among researchers but among engineers as well. This primer will provide a series of lessons and will discuss different mathematical and numerical topics of boundary element methods. In the current lesson, we will discuss: 1An introduction and overview of the boundary element method. 2Program testing m...

1 Sección de Estudios de Posgrado e Investigación, ESIA Zacatenco, Instituto Politécnico Nacional, Avenida Instituto Politécnico Nacional s/n, Lindavista, Del. Gustavo A. Madero, 07320 México, DF, Mexico 2 Sección de Estudios de Posgrado e Investigación, ESIME Azcapotzalco, Instituto Politécnico Nacional, Avenida de las Granjas 682, Sta. Catarina, Del. Azcapotzalco, 02250 México, DF, Mexico 3 C...

In this paper, we study electromagnetic wave scattering from periodic structures and eigenvalue analysis of the Helmholtz equation. Boundary element method (BEM) is an effective tool to deal with Helmholtz problems on bounded as well as unbounded domains. Recently, Oh et al.([29]) developed reproducing polynomial boundary particle methods (RPBPM) that can handle effectively boundary integral eq...

This study presents a model in which firms invest in R&D to generate innovations that increase their underlying profitability and invest in physical capital to produce output. Estimating the model using a method of moments approach reveals that R&D expenditures contribute significantly to profits and firm value. The model also captures variation in R&D intensity, profits and firm value across R...

Homotopy perturbation method HPM and boundary element method BEM for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell i...

The computational time and memory of threedimensional (3-D) capacitance extraction have been greatly reduced by using a quasi-multiple medium (QMM) technology, because it enlarges the matrix sparsity produced by the direct boundary element method (BEM). In this paper, an approach to automatically determining the QMM cutting pair number and a preconditioning technique are proposed to enhance the...

The dual-reciprocity boundary element method is applied for the numerical solution of a class of two-dimensional initial-boundary value problems governed by a non-linear system of partial differential equations. The system, known as the reaction-diffusion Brusselator, arises in the modeling of certain chemical reaction-diffusion processes. Numerical results are presented for some specific probl...

This paper shows how range-flow can help to estimate the elastic constants of complete objects. In our framework, the object is deformed actively by a robotic device pushing into the object. The robot senses the contact force and surface displacement at the point of contact. This contact object behavior alone is not sufficient to estimate elastic constants. The displacement of the object’s non-...