Sparse Matrix Problems in a Finite Element Open Ocean Model.

Abstract

A finite element method is given to solve the quasigeostrophic equations in an open-sided domain. The complicating features of the problem are the non-linearity of the equations and the time dependence of the boundary conditions. The problem is first posed in full generality, and its difficulties are discussed. Simplifications are then considered which restrict the physical model to gain computational efficiency. The end result of this reduction process is a model which is computationally feasible, but still physically meaningful. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1975
Accession Number
ADA018137

Entities

People

  • Joel E. Hirsh
  • William L. Briggs

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Efficiency
  • Equations
  • Finite Element Analysis
  • Linearity
  • Mathematics
  • Sparse Matrix
  • Time Dependence

Fields of Study

  • Mathematics

Readers

  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Structural Dynamics.
  • Theoretical Analysis.