1+ months

Matrix-Free Linear Solvers and Preconditioners - Postdoctoral Research Staff Member

Lawrence Livermore National Laboratory
Livermore, CA 94550

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We have an opening for a Postdoctoral Researcher to perform research and development of matrix-free linear solvers and preconditioners for high-order finite element discretizations. You will investigate the mathematical properties of multigrid solvers for high-order finite elements with particular attention to the regime where computation is very cheap compared to data movement. You will implement linear solvers and preconditioners in a matrix-free setting that is tailored to emerging high-concurrency software architectures, including GPUs. This position is in the Center for Applied Scientific Computing (CASC) Division within the Computing Directorate.

Essential Duties
- Research and develop innovative solvers for high-order finite element operators without matrix assembly.
- Develop efficient implementations of solvers suitable for emerging hardware architectures.
- Collaborate with application teams to provide matrix-free solvers for diffusion applications.
- Publish research results in external peer-reviewed scientific journals and participate in conferences and workshops.
- Pursue independent (but complementary) research interests and interact with a broad spectrum of scientists internally and externally to define and carry out the research.
- Perform other duties as assigned.

- Ph.D. in Mathematics, Applied Mathematics, Computational Science, or a related field.
- Knowledge of high-order finite element methods for PDE discretizations.
- Knowledge of linear solvers and preconditioning methods, including geometric and algebraic multigrid methods.
- Ability to work with application scientists and software development teams.
- Ability to conduct high-quality independent research and to develop implementations to evaluate the results.
- Experience developing complex C++ software in a Linux environment.
- Proficient verbal and written communication skills necessary to interact in a clear and concise manner, author technical and scientific reports and papers, and deliver scientific presentations.

Desired Qualifications
- Experience with the MFEM finite element library and/or the Hypre solvers library.
- Experience with GPU programming.

Pre-Employment Drug Test: External applicant(s) selected for this position will be required to pass a post-offer, pre-employment drug test. This includes testing for use of marijuana as Federal Law applies to us as a Federal Contractor.

Security Clearance: None required.

However, if your assignment is longer than 179 days cumulatively within a calendar year, you must go through the Personal Identity Verification process. This process includes completing an online background investigation form and receiving approval of the background check. (This process does not apply to foreign nationals.)

Note: This is a one year Postdoctoral appointment with the possibility of extension to a maximum of three years. Eligible candidates are recent PhDs within five years of the month of the degree award at time of hire date.

About Us

Lawrence Livermore National Laboratory (LLNL), located in the San Francisco Bay Area (East Bay), is a premier applied science laboratory that is part of the National Nuclear Security Administration (NNSA) within the Department of Energy (DOE). LLNL's mission is strengthening national security by developing and applyingcutting-edge science, technology, and engineering that respond with vision, quality, integrity, and technical excellence to scientific issues of national importance. The Laboratory has a current annual budget of about $2.3 billion, employing approximately 6,900 employees.

LLNL is an affirmative action/ equal opportunity employer. All qualified applicants will receive consideration for employment without regard to race, color, religion, marital status, national origin, ancestry, sex, sexual orientation, gender identity, disability, medical condition, protected veteran status, age, citizenship, or any other characteristic protected by law.


Posted: 2020-03-05 Expires: 2020-06-06

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Matrix-Free Linear Solvers and Preconditioners - Postdoctoral Research Staff Member

Lawrence Livermore National Laboratory
Livermore, CA 94550

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