Numerical theory provides the basis for quantification on the accuracy and reliability of a FEM solution by error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents techniques needed in COMSOL 5.1 to perform computational studies for an elliptic test problem in two and three space dimensions that demonstrate this theory by computing the convergence order of the...

in this paper, the rolling force and reduction ratio have been investigated in multilayer strip rolling. for this purpose, two different set of multilayers have been selected which are al/st/al and cu/al/cu layouts. at first, the validation of the numerical analysis was performed by using an experimental test. after validation of the numerical results, two set of multilayer layouts were simulat...

Electrical impedance tomography (EIT) of closed conductive media is an ill-posed inverse problem. In the general case, the resolution of the direct problem, derived from a second order partial derivative equation, requires a numerical approximation. The solution brought by the Finite Element Method (FEM) is often used in EIT, because it preserves the nonlinear dependence of the observation set ...

Heteroallelic and homo- or hemiallelic Complementary sex determiner (Csd) proteins determine sexual fate in the honeybee (Apis mellifera) by controlling the alternative splicing of the downstream gene fem (feminizer). Thus far, we have little understanding of how heteroallelic Csd proteins mediate the splicing of female fem messenger RNAs (mRNAs) or how Fem proteins direct the splicing of honey...

This paper presents a voxel-based biomechanical model for muscle deformation using finite element method (FEM) and volume graphics. Hierarchical voxel meshes are reconstructed from filtered segmented muscle images followed by FEM simulation and volume rendering. Physiological muscle force is considered and linear elastic muscle models for both static and dynamic cases are simulated by FEM. Voxe...

Building up a time-dependent FEM model the user has to master huge amounts of data inside and outside of the FEM model. For common groundwater modeling projects the time-dependent data that should be included into the FEM model has to be stored „outside“ in database or GIS systems in form of time varying functions applied to point, line or polygon features or in form of areal distributions of t...

This paper deals with the approximate solution of a linear regularly-elliptic 2mth-order boundary-value problem Lu = f, with / 6 Hr(Q) for r > —m. Suppose that the problem is indefinite, i.e., the variational form of the problem involves a weaklycoercive bilinear form. Of particular interest is the quality of the finite element method (FEM) of degree k using n inner products of /. The error of ...

many earthquakes occur in iran every year and some of these earthquakes cause loss of life and property. consequently earthquake is one of challenging topics not only in iran but also in other active tectonic regions in the world. investigating the mechanism of earthquake as a natural disaster is the first and important step. to study earthquakes, different information such as geometry and beha...

Partial Differential Equations and the Finite Element Method provides a much–needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM). Both nodal and hierachic concepts of the FEM are examined. Reflecting the growing complexity and multiscale nature of current engineering and scientific problems, the author emphasizes ...