Numerical theory provides the basis for quantification of 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 elliptic test problems in two and three space dimensions that demonstrate this theory by computing the convergence order of the F...

Original scientific paper This paper presents designing of spherical tank using combination of analytical procedure with FEM analysis and experimental testing in order to minimize design time and verify design strength. Analytical procedure for calculation of the tank strength in the initial stages of design process is briefly presented. Based on analytical results, tank is dimensioned and FEM ...

The band structure of 2D photonic crystals and their eigenmodes can be efficiently computed with the finite element method (FEM). For second order elliptic boundary value problems with piecewise analytic coefficients it is known that the solution converges extremly fast, i.e. exponentially, when using p-FEM for smooth and hp-FEM for polygonal interfaces and boundaries. In this article we discre...

This paper summarizes the work done to show finite element modeling results on a high temperature superconductor fault current limiter (FCL). The paper also gives the small mock-up design of the matrix FCL and its finite element model (FEM). It also discusses the limitations of the FEM and explains how the results from the FEM compare with the experimental data derived for the configuration. A ...

This paper considers the extension of the frequency application range of the finite element method (FEM) applied to steady-state acoustic problems. This is achieved by the hybrid coupling of the FEM with the wave based method (WBM). The WBM is a computationally efficient alternative for the FEM, but it is restricted to acoustic problems of moderate geometrical complexity. The hybrid finite elem...

We present a new adaptive hp-FEM for linear thermoelasticity where each displacement component and the temperature are approximated on different meshes which are equipped with individual energy-based adaptivity mechanisms. We demonstrate that the multimesh hp-FEM can capture individual behavior of every solution component more efficiently than standard hp-FEM. AMS subject classification: 35B50,...

This paper describes the technology for coupling CFD and FEM computations and for selecting the appropriate design waves. One core component for linking CFD and FEM is a repository for the ship hydrodynamic results (SHR). Another important component is an algorithm which maps CFD pressures to FEM nodal loads where CFD and FEM meshes need not coincide. Both the exchange file and the mapping algo...

Isogeometric analysis, as a special field of the finite element method (FEM) which integrates geometric and finite element mesh modelling, is one of the promising directions of FEM development. The paper presents a concept of isogeometric FEM analysis of thin-walled structures based on the Kirchhoff-Love shell formulation and NURBS as basis functions. The basic properties of isogeometric shell ...

The self-fertile hermaphrodites of C. elegans and C. briggsae evolved from female ancestors by acquiring limited spermatogenesis. Initiation of C. elegans hermaphrodite spermatogenesis requires germline translational repression of the female-promoting gene tra-2, which allows derepression of the three male-promoting fem genes. Cessation of hermaphrodite spermatogenesis requires fem-3 translatio...

We focus on the efficient parallel processing of meshes from biomolecular data so that they can be subsequently used for FEM simulation. All mesh processing about refinements and coherent indexations are applied in parallel. The simplices of the mesh are needed for the application in FEM having higher polynomial degrees. For biomolecular data, the only inputs are the atom coordinates, the van d...