Skip to main content
Journal cover image

The Shifted Interface Method: A flexible approach to embedded interface computations

Publication ,  Journal Article
Li, K; Atallah, NM; Main, GA; Scovazzi, G
Published in: International Journal for Numerical Methods in Engineering
February 15, 2020

We propose a new embedded finite element method to simulate partial differential equations over domains with internal interfaces. Our approach belongs to the family of surrogate/approximate interface methods and relies on the idea of shifting the location and value of jump interface conditions. This choice has the goal of preserving optimal convergence rates while avoiding small cut cells and related problematic issues, typical of traditional embedded methods. The proposed approach is accurate, robust, efficient, and simple to implement. We apply this concept to internal interface computations in the context of the mixed Poisson problem, also known as the Darcy flow problem. An extensive set of numerical tests is provided to demonstrate the performance of the proposed approach.

Duke Scholars

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

February 15, 2020

Volume

121

Issue

3

Start / End Page

492 / 518

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Li, K., Atallah, N. M., Main, G. A., & Scovazzi, G. (2020). The Shifted Interface Method: A flexible approach to embedded interface computations. International Journal for Numerical Methods in Engineering, 121(3), 492–518. https://doi.org/10.1002/nme.6231
Li, K., N. M. Atallah, G. A. Main, and G. Scovazzi. “The Shifted Interface Method: A flexible approach to embedded interface computations.” International Journal for Numerical Methods in Engineering 121, no. 3 (February 15, 2020): 492–518. https://doi.org/10.1002/nme.6231.
Li K, Atallah NM, Main GA, Scovazzi G. The Shifted Interface Method: A flexible approach to embedded interface computations. International Journal for Numerical Methods in Engineering. 2020 Feb 15;121(3):492–518.
Li, K., et al. “The Shifted Interface Method: A flexible approach to embedded interface computations.” International Journal for Numerical Methods in Engineering, vol. 121, no. 3, Feb. 2020, pp. 492–518. Scopus, doi:10.1002/nme.6231.
Li K, Atallah NM, Main GA, Scovazzi G. The Shifted Interface Method: A flexible approach to embedded interface computations. International Journal for Numerical Methods in Engineering. 2020 Feb 15;121(3):492–518.
Journal cover image

Published In

International Journal for Numerical Methods in Engineering

DOI

EISSN

1097-0207

ISSN

0029-5981

Publication Date

February 15, 2020

Volume

121

Issue

3

Start / End Page

492 / 518

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering