A rigorous convergence theory for Galerkin methods for a model Helmholtz problem in Rd, d ∈ {1, 2, 3} is presented. General conditions on the approximation properties of the approximation space are stated that ensure quasi-optimality of the method. As an application of the general theory, a full error analysis of the classical hp-version of the finite element method (hp-FEM) is presented for th...

A two dimensional (h; p) nite element scheme for distributed parallel computation is developed. The approach is based on an element by element domain decomposition and is implemented on the NCUBE2 system. Example problems are used to demonstrate performance of the algorithm for a range of (h; p) and to validate a run-time model. The run-time model is then used to examine the scaling properties ...

BACKGROUND Several epidemiological studies have evaluated the association between the NAD(P)H oxidase p22 phox gene C242T polymorphism and the risk of type 2 diabetes mellitus (T2DM), diabetic nephropathy (DN), and carotid atherosclerosis with T2DM (CA), but the results are inconclusive. This meta-analysis was therefore designed to clarify these controversies. METHODS Systematic searches were...

This paper considers the model problem in two-dimensional domain. The a posteriori error indicator for p-version Finite Element Methods (FEM) is discussed, and the reliable property of this a posteriori error indicator is investigated. Specially, we reformulate the a posteriori error indicator by orthogonal polynomials, which is easily used in practical applications.

We formulate a sufficient condition on the mesh under which we prove the discrete maximum principle (DMP) for the one-dimensional Poisson equation with Dirichlet boundary conditions discretized by the hp-FEM. The DMP holds if a relative length of every element K in the mesh is bounded by a value H∗ rel(p) ∈ [0.9, 1], where p ≥ 1 is the polynomial degree of the element K. The values H∗ rel(p) ar...