We examine a nite element approximation of a quasilinear boundary value elliptic problem in a three-dimensional bounded convex domain with a smooth boundary. The domain is approximated by a polyhedron and a numerical integration is taken into account. We apply linear tetrahedral nite elements and prove the convergence of approximate solutions on polyhedral domains in the W 1 2-norm to the true ...

We present preliminary results from numerical simulations of blood flow in a prototype of a centrifugal pump. The simulations involve incompressible Navier-Stokes governing equations, stabilized space-time finite element formulations, and parallel implementation on distributed memory architectures. The examples illustrate our approach of custom hybrid structured-unstructured tetrahedral meshes,...

The reaction of Rb4Sn4 with ZnPh2 in liquid ammonia in the presence of [2.2.2]-cryptand yielded crystals of Rb6[(η(2)-Sn4)Zn(η(3)-Sn4)]·5NH3, which could be characterized by single crystal X-ray diffraction. This is the first example of a successful solution reaction of the highly charged tetrahedral Sn4(4-) anions. The homoleptic [E4ZnE4](6-) complex (E = tetrel element) was previously known o...

Abstract. We consider the first family of H(curl,Ω)-conforming Nedéléc finite elements on tetrahedral meshes. Spectral approximation (p-version) is achieved by keeping the mesh fixed and raising the polynomial degree p uniformly in all mesh cells. We prove that the associated subspaces of discretely weakly divergence free piecewise polynomial vector fields enjoy a long conjectured discrete comp...

The ability to automatically morph an existing mesh to conform to geometry modifications is a necessary capability to enable rapid prototyping of design variations. This paper compares six methods for morphing hexahedral and tetrahedral meshes, including the previously published FEMWARP and LBWARP methods as well as four new methods. Element quality and performance results show that different m...

Edge-based and face-based smoothed finite element methods (ES-FEM FS-FEM, respectively) are modified versions of the method allowing to achieve more accurate results reduce sensitivity mesh distortion, at least for linear elements. These properties make two very attractive. However their implementation in a standard code is non-trivial because it requires heavy extensive modifications architect...

We introduce a new mixed discontinuous/continuous Galerkin finite element for solving the 2and 3-dimensional wave equations and equations of incompressible flow. The element, which we refer to as P1DG-P2, uses discontinuous piecewise linear functions for velocity and continuous piecewise quadratic functions for pressure. The aim of introducing the mixed formulation is to produce a new flexible ...