Divergence Boundary Conditions for Vector Helmholtz Equations with Divergence Constraints,

Abstract

The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1997
Accession Number
ADA329479

Entities

People

  • Roy Nicolaides
  • Urve Kangro

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Boundaries
  • Coercivity
  • Coordinate Systems
  • Eigenvalues
  • Embedding
  • Equations
  • Finite Element Analysis
  • Helmholtz Equations
  • Least Squares Method
  • Poisson Equation
  • Scientific Research
  • Three Dimensional
  • Two Dimensional
  • United States
  • Wave Equations

Fields of Study

  • Mathematics

Readers

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