High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

  • R. I. Saye
  • Published 2015 in SIAM J. Scientific Computing

Abstract

A high-order accurate numerical quadrature algorithm is presented for the evaluation of integrals over curved surfaces and volumes which are defined implicitly via a fixed isosurface of a given function restricted to a given hyperrectangle. By converting the implicitly defined geometry into the graph of an implicitly defined height function, the approach… (More)
DOI: 10.1137/140966290

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Cite this paper

@article{Saye2015HighOrderQM, title={High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles}, author={R. I. Saye}, journal={SIAM J. Scientific Computing}, year={2015}, volume={37} }