Subspace Correction Methods for the Iterative Solution of Hierarchic Plate Models. 1: Heat Transfer Problems

Abstract

A class of iterative methods for solving the system of partial differential equations stemming from hierarchic models of the heat conduction problem in orthotropic laminated plates is analyzed. The analysis leads to sharp explicit expressions for the rate of the convergence depending on the shape or director functions used in the derivations of the hierarchic models.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1994
Accession Number
ADA285712

Entities

People

  • C. Schwab
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fourier Analysis
  • Frequency
  • Heat Transfer
  • Linear Systems
  • Partial Differential Equations
  • Periodic Functions
  • Three Dimensional
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.