A New Cloud-Based hp-Finite Element Method

Abstract

A hybrid computational method for solving boundary-value problems is introduced which combines features of the meshless hp-cloud methods with features of conventional finite elements. The method admits straightforward nonuniform hp-type approximations, easy implementation of essential boundary conditions, is robust under severe distortions of the mesh, and can deliver exponential rates of convergence. Results of numerical experiments are presented.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1996
Accession Number
ADA332134

Entities

People

  • C. Armando Duarte
  • J. T. Oden
  • O. C. Zienkiewicz

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Band Structures
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Computations
  • Convergence
  • Coordinate Systems
  • Electronic Mail
  • Errors
  • Finite Element Analysis
  • Mathematics
  • Military Research
  • Modulus Of Elasticity
  • Polynomials
  • Sequences
  • Two Dimensional

Readers

  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)