Use of the Tensor Product for Numerical Weather Prediction by the Finite Element Method. Part 2.

Abstract

This is Part 2 of a report-pair concerning application of the tensor product in solving large sets of simultaneous linear equations arising in finite element formulations of Numerical Weather Prediction problems. A rectangular region having a graded mesh with Dirichlet boundary conditions on all four edges is considered. Coefficient matrices are the mass matrix and the stiffness matrix of the finite element method. For the stiffness matrix, which appears in Poisson's equation, operation counts and storage requirements are compared with corresponding numbers for solutions by successive overrelaxation and Gaussian elimination. FORTRAN programs for implementation of the tensor proeuct formulations are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA144064

Entities

People

  • R. E. Newton

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • California
  • Coefficients
  • Computer Programs
  • Computers
  • Core Storage
  • Difference Equations
  • Elimination
  • Equations
  • Finite Element Analysis
  • Floating Point Operations
  • Procedures (Computers)
  • Research Facilities
  • Stiffness
  • Technical Information Centers
  • Weather Forecasting

Readers

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