A Few New (?) Facts About Infinite Elements

Abstract

We discuss the (conjugated) Bubnov-Galerkin and Petrov-Galerkin Infinite Element (IE) discretizations to Helmholtz equation including stability, use of locally variable order, optimal choice of IE shape functions, calculation of Radar Cross Sections (RCS), and automatic hp-adaptivity. The discussions are complemented with 2D numerical experiments.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA437980

Entities

People

  • Jie Shen
  • L. Demkowicz

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mechanics
  • Automatic
  • Boundaries
  • Boundary Value Problems
  • Computational Science
  • Equations
  • Helmholtz Equations
  • Mathematics
  • Mechanics
  • Plane Waves
  • Radar Cross Sections
  • Radiation
  • Scattering
  • Standards
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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