Search Results for author: Jonas Schmitt

Found 3 papers, 2 papers with code

Automating the Design of Multigrid Methods with Evolutionary Program Synthesis

1 code implementation22 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.

Code Generation Program Synthesis

Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming

1 code implementation27 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.

Optimizing Geometric Multigrid Methods with Evolutionary Computation

no code implementations7 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.

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