1 citations · 3 across the 7 of their papers we have counts for
9 papers
Two-level additive Schwarz preconditioners with GDSW coarse spaces for high-order discretizations in 2D
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser +1
Two-level overlapping Schwarz preconditioners with Generalized Dryja-Smith-Widlund (GDSW) and Reduced GDSW (RGDSW) coarse spaces for high-order finite element methods (FEM) and vir…
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…
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…
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…
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…
Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser
The virtual element method (VEM) is a family of numerical methods to discretize partial differential equations on general polygonal or polyhedral computational grids. However, the…
Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser +1
Highly resolved finite element simulations of a laser beam welding process are considered. The thermomechanical behavior of this process is modeled with a set of thermoelasticity e…
BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations
Tommaso Bevilacqua, Franco Dassi, Stefano Zampini +1
The Virtual Element Method (VEM) is a novel family of numerical methods for approximating partial differential equations on very general polygonal or polyhedral computational grids…
BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations
Tommaso Bevilacqua, Simone Scacchi
The Virtual Element Method (VEM) is a new family of numerical methods for the approximation of partial differential equations, where the geometry of the polytopal mesh elements can…