5 papers
Solving the (Navier-)Stokes equations with space and time adaptivity using deal.II
Peter Munch, Marc Fehling, Martin Kronbichler +2
In this article, we solve the Stokes and Navier-Stokes equations with the dealII finite-element library. In particular, we use its multigrid, adaptive-mesh, and matrix-free infr…
Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations
Nils Much, Magdalena Schreter-Fleischhacker, Peter Munch +3
Computational modeling of the melt pool dynamics in laser-based powder bed fusion metal additive manufacturing (PBF-LB/M) promises to shed light on fundamental mechanisms of defect…
A consistent diffuse-interface finite element approach to rapid melt--vapor dynamics with application to metal additive manufacturing
Magdalena Schreter-Fleischhacker, Nils Much, Peter Munch +3
Metal additive manufacturing via laser-based powder bed fusion (PBF-LB/M) faces performance-critical challenges due to complex melt pool and vapor dynamics, often oversimplified by…
Matrix-free implementation of the non-nested multigrid method
Marco Feder, Luca Heltai, Martin Kronbichler +1
Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, hig…
Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity
Richard Schussnig, Niklas Fehn, Peter Munch +1
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an -multigrid preconditioner. Compared to classical algorithms relying on a global…