An automated approach for parallel adjoint-based error estimation and mesh adaptation

Granzow, Brian N.; Oberai, Assad A.; Shephard, Mark S.

doi:10.1007/s00366-019-00890-2

An automated approach for parallel adjoint-based error estimation and mesh adaptation

Journal Article · Wed Dec 04 00:00:00 EST 2019 · Engineering with Computers

DOI:https://doi.org/10.1007/s00366-019-00890-2· OSTI ID:1595011

^[1]; Oberai, Assad A. ^[2]; Shephard, Mark S. ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of California, Los Angeles, CA (United States)
Rensselaer Polytechnic Inst., Troy, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: US Army; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1595011

Report Number(s):: SAND--2019-14363J; 682699

Journal Information:: Engineering with Computers, Journal Name: Engineering with Computers Vol. 36; ISSN 0177-0667

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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97 MATHEMATICS AND COMPUTING
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An automated approach for parallel adjoint-based error estimation and mesh adaptation

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