Accelerated a posteriori error estimation for the reduced basis method with application to 3d electromagnetic scattering problems Academic Article uri icon

Overview

MeSH Major

  • Cell Transformation, Viral
  • Oncogenes
  • Receptors, Cell Surface

abstract

  • We propose a new method for fast estimation of error bounds for outputs of interest in the reduced basis context, efficiently applicable to real world 3D problems. Geometric parameterizations of complicated 2D, or even simple 3D, structures easily leads to affine expansions consisting of a high number of terms (oc 100-1000). Applicat ion of state-of-the-art techniques for computation of error bounds becomes practically impossible. As a way out we propose a new error estimator, inspired by the subdomain residuum method, which leads to substantial savings (orders of magnitude) regarding online and offline computational times and memory consumption. We apply certified reduced basis techniques with the newly developed error estimator to 3D electromagnetic scattering problems on unbounded domains. A numerical example from computational lithography demonstrates the good performance and effectivity of the proposed estimator. © 2010 Society for Industrial and Applied Mathematics.

publication date

  • April 19, 2010

Research

keywords

  • Academic Article

Identity

Digital Object Identifier (DOI)

  • 10.1137/090760271

Additional Document Info

start page

  • 498

end page

  • 520

volume

  • 32

number

  • 2