Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation

Author:

Huang Juntao,Guo Wei,Cheng Yingda

Funder

National Science Foundation

U.S. Air Force

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Applied Mathematics

Reference36 articles.

1. ASGarD—Adaptive Sparse Grid Discretization. https://github.com/project-asgard/asgard. Accessed 18 Oct 2022 (2022)

2. Alpert, B.K.: A class of bases in $$L$$$$^2$$ for the sparse representation of integral operators. SIAM J. Math. Anal. 24(1), 246–262 (1993)

3. Arnold, D.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19(4), 742–760 (1982)

4. Atanasov, A.B., Schnetter, E.: Sparse grid discretizations based on a discontinuous Galerkin method. arXiv:1710.09356 (2017)

5. Balay, S., Abhyankar, S., Adams, M., Brown, J., Brune, P., Buschelman, K., Dalcin, L., Dener, A., Eijkhout, V., Gropp, W., et al.: PETSc Users Manual, ANL-95/11-Revision 3.11 (2019). http://www.mcs.anl.gov/petsc/petsc-current/docs/manual.pdf

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