The stability and convergence of nonconforming hp finite-element methods, in particular, the mortar finite-element method and its variants, are established based on a new stability measure for these methods. Using a generalized eigenvalue analysis, estimates for this measure are computed numerically. Our numerical results demonstrate that these nonconforming methods prove to be good candidates ...

An energy-preserving explicit extension operator is proposed to extend finite element functions defined on the boundary of a star-shaped polygonal domain into its interior. The pre-assigned finite element triangulation in the interior of the domain needs not be multilevel-structured. The extension operator has wide applications in the construction of non-overlapping domain decomposition methods...

In civil engineering, computational modeling is widely used in the design process at the structural level. In contrast to that, an automated support for the selection or design of construction materials is currently not available. Specification of material properties and model parameters has a strong influence on the results. Therefore, an uncoupled twostep approach is employed to provide relat...

This paper presents a finite element approach with moving non-matching overlapping grids to solve coupled magneto-mechanical problems. As an example of application, we consider the team workshop problem 28 for an electrodynamic levitation device. The connection between the background mesh including the two exciting coils and the foreground mesh of the conducting plate is established by using a ...

We establish interior velocity superconvergence estimates for mixed finite element approximations of second order elliptic problems on non-matching rectangular and quadrilateral grids. Both mortar and non-mortar methods for imposing the interface conditions are considered. In both cases it is shown that a discrete L2-error in the velocity in a compactly contained subdomain away from the interfa...

A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann-Neumann preconditioner and its variants, and handles correctly the flux splitting among subdomains that shar...

Spatial Galerkin projection transfers fields between different meshes. In the area of finite element analysis of electromagnetic fields, it provides great convenience for remeshing, multi-physics, domain decomposition methods, etc. In this paper, a space-time Galerkin projection is developed in order to transfer fields between different spatial and temporal discretization bases.

saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. because of heterogeneous nature of cell populations, the cell population balance equation (pbe) can be used to capture the dynamic behavior of such cultures. in this work, an unstructured-segregated model is used for d...

The mortar element method [BMP94, BMP93] becomes an important tool for mesh adaptivity in finite elements. Indeed, completely independent finite element discretizations can be used on the subdomains of a nonconforming partition of the initial domain without overlapping. This solves the contradiction between conformity and regularity and allows for working on a fully adapted mesh with a much sma...