1 code implementation • 22 Dec 2023 • Jonas Schmitt
For this purpose, we develop a novel context-free grammar that enables the automated generation of multigrid methods in a symbolically-manipulable formal language, based on which we can apply the same multigrid-based solver to problems of different sizes without having to adapt its internal structure.
1 code implementation • 27 Apr 2022 • Jonas Schmitt, Harald Köstler
Solving the indefinite Helmholtz equation is not only crucial for the understanding of many physical phenomena but also represents an outstandingly-difficult benchmark problem for the successful application of numerical methods.
no code implementations • 7 Oct 2019 • Jonas Schmitt, Sebastian Kuckuk, Harald Köstler
For many linear and nonlinear systems that arise from the discretization of partial differential equations the construction of an efficient multigrid solver is a challenging task.