Upper and Lower Bounds for Solutions of Linear Operator Problems with Unilateral Constraints.

Abstract

Dual extremum principles characterizing the solutions of problems for a positive-definite self-adjoint operator on a Hilbert space which involve unilateral constraints are formulated using a Hilbert space decomposition theorem due to Moreau. Various upper and lower bounds involving the solutions to subsidiary problems with less restrictive conditions than the solution to the original problem.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA022747

Entities

People

  • W. D. Collins

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Chemical Reactions
  • Decomposition
  • Dissociation
  • Functional Analysis
  • Hilbert Space

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Government Contracting/Procurement.

Technology Areas

  • Space