An HP-Adaptive Method in Space and Time for Parabolic Systems.

Abstract

We describe an adaptive method-of-lines hp-refinement algorithm in space and time for one-dimensional vector systems of parabolic partial differential equations. Solutions are calculated using Galerkin's method with a piecewise-polynomial hierarchical basis in space and singly-implicit Runge-Kutta (SIRK) methods in time. A posteriori estimates of the local spatial and temporal discretization error are used with a priori error estimates to control spatial and temporal enrichment. Computational results are used to compare and verify the utility of several variants of the basic hp-refinement procedure. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1994
Accession Number
ADA292262

Entities

People

  • J. E. Flaherty
  • Peter K. Moore

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Differential Equations
  • Engineering
  • Equations
  • Extrapolation
  • Finite Element Analysis
  • Linear Systems
  • Mechanics
  • Military Research
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • Partial Differential Equations
  • Pattern Recognition
  • Phase
  • Runge Kutta Method
  • Shear Bands

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space