Scalable High-order Methods for Multi-Scale Problems: Analysis, Algorithms and Application

Abstract

It is anticipated that in future generations of massively parallel computer systems a significant portion of processors may suffer from hardware or software faults rendering large-scale computations useless. In this project, the PI and his students address this problem from the algorithmic side, proposing resilient frameworks that can recover and continue the solution with gappy fields from such faults irrespective of their fault origin. In addition to its robustness and resilience, the new framework generalizes previous multiscale and multifidelity approaches in a unified parallel computational framework.

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Document Details

Document Type
Technical Report
Publication Date
Feb 26, 2016
Accession Number
AD1006016

Entities

People

  • George Karniadakis
  • Mark Ainsworth

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Computational Fluid Dynamics
  • Computations
  • Dimensionality Reduction
  • Electronic Mail
  • Equations
  • Fluid Dynamics
  • Mathematical Analysis
  • Mathematics
  • Navier Stokes Equations
  • Resilience
  • Scientific Research
  • Simulations

Fields of Study

  • Computer science

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Fluid Dynamics (CFD)
  • Distributed Systems and Data Platform Development