An extreme-scale implicit solver for complex PDEs: highly heterogeneous flow in earth's mantle

J Rudi, ACI Malossi, T Isaac, G Stadler… - Proceedings of the …, 2015 - dl.acm.org
Mantle convection is the fundamental physical process within earth's interior responsible for
the thermal and geological evolution of the planet, including plate tectonics. The mantle is …

[PDF][PDF] Refining the Functioning and Scalability of Algebraic Multigrid

J Balen, L Nojeem, W Bitala, U Junta… - European Journal of …, 2023 - papers.ssrn.com
Algebraic Multigrid (AMG) is a widely used technique for solving large, sparse linear
systems arising in various scientific and engineering applications. While AMG has shown …

Scalability of Algebraic Multigrid in Computer Science

L Chen, D Chen, C Li, B Pan, L Zhang… - … -Eurasian Journal of …, 2023 - papers.ssrn.com
Algebraic Multigrid (AMG) is a widely used numerical technique for solving large-scale
linear systems in various fields of computer science, such as computer graphics …

A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers

M Kronbichler, WA Wall - SIAM Journal on Scientific Computing, 2018 - SIAM
This study presents a fair performance comparison of the continuous finite element method,
the symmetric interior penalty discontinuous Galerkin method, and the hybridized …

Multigrid for matrix-free high-order finite element computations on graphics processors

M Kronbichler, K Ljungkvist - ACM Transactions on Parallel Computing …, 2019 - dl.acm.org
This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …

A quantitative performance study for Stokes solvers at the extreme scale

B Gmeiner, M Huber, L John, U Rüde… - Journal of Computational …, 2016 - Elsevier
This article presents a systematic quantitative performance study for large finite element
computations on extreme scale computing systems. Three parallel iterative solvers for the …

[PDF][PDF] Customer relationship management and algebraic multigrid: An analysis of integration and performance

L Nojeem, M Shun, M Embouma, A Inokon… - International Journal of …, 2023 - papers.ssrn.com
In recent years, customer relationship management (CRM) has become an essential
component of many businesses. At the same time, algebraic multigrid (AMG) has been …

Hybrid multigrid methods for high-order discontinuous Galerkin discretizations

N Fehn, P Munch, WA Wall, M Kronbichler - Journal of Computational …, 2020 - Elsevier
The present work develops hybrid multigrid methods for high-order discontinuous Galerkin
discretizations of elliptic problems, which are, for example, a key ingredient of …

Improving the Scalability of Algebraic Multigrid through Cloud Computing

C Li, B Pan, Z Xiang, L Zhang, L Chen… - World Journal of …, 2023 - papers.ssrn.com
Algebraic multigrid (AMG) is a powerful technique for solving large-scale linear systems
arising in various scientific and engineering applications. However, the scalability of AMG …

[PDF][PDF] Algebraic Multigrid and Cloud Enterprise Resource Planning System: A Powerful Combination for Business Efficiency

T Olutola, J Balen, V Lotisa, A Johnima… - Asian Journal of Basic …, 2023 - papers.ssrn.com
Algebraic Multigrid (AMG) is a computational technique widely used in scientific computing
to solve large-scale linear systems of equations efficiently. On the other hand, cloud …