An expandable local and parallel two-grid finite element scheme

Local and Parallel Finite Element Algorithms Based on Two-grid Discretizations

A number of new local and parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorithms are motivated by the observation that, for a solution to some elliptic problems, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fin...

DEPARTMENT OF MATHEMATICS Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations

A number of new local and parallel discretization and adaptive nite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorithms are motivated by the observation that, for a solution to some elliptic problems, low frequencycomponents can be approximated well by a relatively coarse grid and high frequency components can be computed on a ne gri...

Grid Service-Based Parallel Finite Element Analysis

In this paper, we present our work on the integration of existing engineering applications using Grid Services. We address a visual grid framework that provides an integrated development environment for engineering computation applications. Furthermore, we demonstrate how such services can interact with each other. These interactions enable a level of integration that assists the scientific app...

DEPARTMENT OF MATHEMATICS Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Non- linear Problems

In this paper, some local and parallel discretizations and adaptive finite element algorithms are proposed and analyzed for nonlinear elliptic boundary value problems in both two and three dimensions. The main technique is to use a standard finite element discretization on a coarse grid to approximate low frequencies and then to apply some linearized discretization on a fine grid to correct the...

Adaptive Local Grid Refinement Algorithms for Finite-element Collocation