Theoretical and Numerical Analysis for Non-Linear Interface Problems

Abstract

This proposal concerns modeling, analysis, and computational simulations of some non-linear interface problems and applications, that, we believe, are of interests to DOD/ARO missions especially in the fields of computational geometry, computational fluid mechanics, non-linear dynamics, imaging processing, and inverse scattering. Most of our previous work has been focused on linear interface problems with discontinuities. We have been focusing on non-linear interface problems and applications that are of interests of DoD/ARO during the course of the project, particularly for nonlinear interface problems in MR fluids and weighted surface problems. We have successfully developed the immersed interface method for several non-linear interface problems including Poisson-Boltzmann equations on irregular domains, some variational problems, augmented approach for interface problems and problems on irregular domains.

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 2007
Accession Number
ADA474058

Entities

People

  • Kazufumi Ito
  • Zhilin Li

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Boltzmann Equation
  • Department Of Defense
  • Education
  • Engineering
  • Equations
  • Fluid Mechanics
  • Geometry
  • Information Operations
  • Inverse Scattering
  • Mathematics
  • Mechanics
  • Military Research
  • Nonlinear Dynamics
  • Numerical Analysis
  • Students

Readers

  • Computational Fluid Dynamics (CFD)
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Research Science/Academic Research