A Primal DPG Method Without a First Order Reformulation

Abstract

We show that it is possible to apply the DPG methodology without reformulating a second order boundary value problem into a first order system, by considering the simple example of the Poisson equation. The result is a new weak formulation and a new DPG method for the Poisson equation, which has no numerical trace variable, but has a numerical flux approximation on the element interfaces, in addition to the primal interior variable.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2013
Accession Number
ADA587915

Entities

People

  • J. Gopalakrishnan
  • L. Demkowicz

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boltzmann Equation
  • Boundaries
  • Boundary Value Problems
  • Continuity
  • Convergence
  • Differential Equations
  • Equations
  • Galerkin Method
  • Hilbert Space
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Poisson Equation
  • Polynomials
  • Real Variables

Fields of Study

  • Mathematics

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