An automated approach for parallel adjoint-based error estimation and mesh adaptation
Abstract
In finite element simulations, not all of the data are of equal importance. In fact, the primary purpose of a numerical study is often to accurately assess only one or two engineering output quantities that can be expressed as functionals. Adjoint-based error estimation provides a means to approximate the discretization error in functional quantities and mesh adaptation provides the ability to control this discretization error by locally modifying the finite element mesh. In the past, adjoint-based error estimation has only been accessible to expert practitioners in the field of solid mechanics. In this work, we present an approach to automate the process of adjoint-based error estimation and mesh adaptation on parallel machines. This process is intended to lower the barrier of entry to adjoint-based error estimation and mesh adaptation for solid mechanics practitioners. Here, we demonstrate that this approach is effective for example problems in Poisson’s equation, nonlinear elasticity, and thermomechanical elastoplasticity.
- Authors:
-
[1];
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Univ. of California, Los Angeles, CA (United States)
- Rensselaer Polytechnic Inst., Troy, NY (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); US Army
- OSTI Identifier:
- 1595011
- Report Number(s):
- SAND-2019-14363J
Journal ID: ISSN 0177-0667; 682699
- Grant/Contract Number:
- AC04-94AL85000; SC00066117; NA0003525; W911NF1410301; W911NF16C0117
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Engineering with Computers
- Additional Journal Information:
- Journal Volume: 36; Journal ID: ISSN 0177-0667
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Automated; Adjoint; A posteriori; Error estimation; Adaptation; Finite element
Citation Formats
Granzow, Brian N., Oberai, Assad A., and Shephard, Mark S. An automated approach for parallel adjoint-based error estimation and mesh adaptation. United States: N. p., 2019.
Web. doi:10.1007/s00366-019-00890-2.
Granzow, Brian N., Oberai, Assad A., & Shephard, Mark S. An automated approach for parallel adjoint-based error estimation and mesh adaptation. United States. https://doi.org/10.1007/s00366-019-00890-2
Granzow, Brian N., Oberai, Assad A., and Shephard, Mark S. Wed .
"An automated approach for parallel adjoint-based error estimation and mesh adaptation". United States. https://doi.org/10.1007/s00366-019-00890-2. https://www.osti.gov/servlets/purl/1595011.
@article{osti_1595011,
title = {An automated approach for parallel adjoint-based error estimation and mesh adaptation},
author = {Granzow, Brian N. and Oberai, Assad A. and Shephard, Mark S.},
abstractNote = {In finite element simulations, not all of the data are of equal importance. In fact, the primary purpose of a numerical study is often to accurately assess only one or two engineering output quantities that can be expressed as functionals. Adjoint-based error estimation provides a means to approximate the discretization error in functional quantities and mesh adaptation provides the ability to control this discretization error by locally modifying the finite element mesh. In the past, adjoint-based error estimation has only been accessible to expert practitioners in the field of solid mechanics. In this work, we present an approach to automate the process of adjoint-based error estimation and mesh adaptation on parallel machines. This process is intended to lower the barrier of entry to adjoint-based error estimation and mesh adaptation for solid mechanics practitioners. Here, we demonstrate that this approach is effective for example problems in Poisson’s equation, nonlinear elasticity, and thermomechanical elastoplasticity.},
doi = {10.1007/s00366-019-00890-2},
journal = {Engineering with Computers},
number = ,
volume = 36,
place = {United States},
year = {Wed Dec 04 00:00:00 EST 2019},
month = {Wed Dec 04 00:00:00 EST 2019}
}
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