Abstract: The finite element method (FEM) is a computational method for solving differential and integral equations that arise in engineering. This chapter applies the method to some differential ...

The project employs an adaptive finite element method with a posteriori error estimation for solving boundary value problems of the form: -u''(x) + m * u'(x) + n * u ...

Abstract: The generalized finite element method (GFEM), as introduced by Babuska, is a partition of unity framework for solving scalar partial differential equations (PDEs). To date, they have been ...

INTRODUCTION: The finite element method (FEM) is an engineering resource applied to calculate the stress and deformation of complex structures, and has been widely used in orthodontic research. With ...

In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are used to ...

Manufacturing encompasses various physical phenomena, including processes for burr creation, plastic deformation, frictional contact, and thermo-mechanical coupling, among others. Undoubtedly, the ...

ABSTRACT: The resource parameter estimation using stochastic finite element, geostatistics etc. is a key point on uncertainty, risk analysis, optimization [1-5] etc. In this view, the paper presents ...

Natural convection is a heat transfer process that is present in our everyday life: from the cooling of little electronic devices, to indoor climate systems, to environmental transport problems. In ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...