Self-adaptive hp finite element method with iterative mesh truncation technique accelerated with Adaptive Cross Approximation

Eecient Mesh Partitioning for Adaptive Hp Finite Element Meshes

Parallel Self-Adaptive hp Finite Element Method Algorithm with Shared Data Structure

In this paper we present a new parallel algorithm of the self-adaptive hp Finite Element Method (hp-FEM) with shared data structures. The algorithm generates in a fully automatic mode (without any user interaction) a sequence of meshes delivering exponential convergence of the prescribed quantity of interest with respect to the mesh size (number of degrees of freedom). The sequence of meshes is...

Adaptive hp-Finite Element Method for Low Mach Number Flows

Flow configurations in the low-Mach number regime usually lead locally to large gradients in the velocity field as well as in the temperature variable. Such structures including boundary layers are typical in the study of e.g. heat transfer problems or more generally in situations where compression effects are mainly due to thermodynamical effects (see e.g. [1]). We propose a method based on hp...

hp-ADAPTIVE 3D FINITE ELEMENT PACKAGE

The paper presents a description of par3Dhp a 3D, parallel, fully automatic hp-adaptive finite element code for elliptic and Maxwell problems. The parallel implementation is an extension of the sequential code 3Dhp90, which generates, in a fully automatic mode, optimal hp meshes for various boundary value problems. The system constitutes an infrastructure for a class of parallel hp adaptive com...

A discontinuous Galerkin Method for parabolic problems with modified hp-finite element approximation technique

A recent paper [Hideaki Kaneko, Kim S. Bey, Gene J.W. Hou, Discontinuous Galerkin finite element method for parabolic problems, preprint November 2000, NASA] is generalized to a case where the spatial region is taken in R. The region is assumed to be a thin body, such as a panel on the wing or fuselage of an aerospace vehicle. The traditional has well as hp-finite element methods are applied to...