most citedTowards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.NA2025

Preconditioning a Fluid--Structure Interaction Problem Using Monolithic and Block Domain Decomposition Methods for the Fluid

Axel Klawonn, Jascha Knepper, Lea Saßmannshausen

A fluid-structure interaction (FSI) problem is solved via a monolithic coupling of the fluid, structure, and geometry subproblems. The iterative GMRES solver is accelerated with th…

math.NA2025

Towards a parallel Schwarz solver framework for virtual elements using GDSW coarse spaces

Tommaso Bevilacqua, Axel Klawonn, Martin Lanser +1

The Virtual Element Method (VEM) is used to perform the discretization of the Poisson problem on polygonal and polyhedral meshes. This results in a symmetric positive definite line…

math.NA2025

Large-scale Thermo-Mechanical Simulation of Laser Beam Welding Using High-Performance Computing: A Qualitative Reproduction of Experimental Results

Tommaso Bevilacqua, Andrey Gumenyuk, Niloufar Habibi +6

Laser beam welding is a non-contact joining technique that has gained significant importance in the course of the increasing degree of automation in industrial manufacturing. This…

math.NA2025

Highly Scalable Two-level Monolithic Overlapping Schwarz Preconditioners for Thermo-elastoplastic Laser Beam Welding Problems

Tommaso Bevilacqua, Axel Klawonn, Martin Lanser

A thermo-elastoplastic finite element approach is used to perform the simulation of a laser beam welding (LBW) process. This results in a nonlinear, nonsymmetric saddle point multi…

cs.CE20241 cited

Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations

Dinesh Parthasarathy, Tommaso Bevilacqua, Martin Lanser +2

Multigrid methods are asymptotically optimal algorithms ideal for large-scale simulations. But, they require making numerous algorithmic choices that significantly influence their…

math.NA2024

Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations

Axel Klawonn, Martin Lanser

Nonlinear domain decomposition methods became popular in recent years since they can improve the nonlinear convergence behavior of Newton's method significantly for many complex pr…