Peter Münch
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View article: The deal.II library, version 9.7
The deal.II library, version 9.7 Open
This paper provides an overview of the new features of the finite element library deal.II , version 9.7.
Revisiting the Slip Boundary Condition: Surface Roughness as a Hidden Tuning Parameter Open
In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing equatio…
View article: An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations Open
We present a monolithic $hp$ space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening of the space-time mesh is performed, and the entire algorith…
A consistent diffuse-interface finite element approach to rapid melt--vapor dynamics with application to metal additive manufacturing Open
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 computational models that neglect crucial aspects, such as…
Matrix-free implementation of the non-nested multigrid method Open
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, highly non-trivial. In this scenario, the non-nested multigrid…
View article: The deal.II library, Version 9.6
The deal.II library, Version 9.6 Open
This paper provides an overview of the new features of the finite element library deal.II, version 9.6.
Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity Open
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an $hp$-multigrid preconditioner. Compared to classical algorithms relying on a global sparse matrix, matrix-free solution strategies significantl…
Smoothers with localized residual computations for geometric multigrid methods Open
We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We focus on patch smoothers, which offer robust convergence ra…
High-performance matrix-free unfitted finite element operator evaluation Open
Unfitted finite element methods, like CutFEM, have traditionally been implemented in a matrix-based fashion, where a sparse matrix is assembled and later applied to vectors while solving the resulting linear system. With the goal of increa…
Improved accuracy of continuum surface flux models for metal additive manufacturing melt pool simulations Open
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 generation. These processes are accompanied by rapid evapo…
A consistent diffuse-interface model for two-phase flow problems with rapid evaporation Open
We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several o…
Accuracy of a Zero-Heat-Flux Thermometer in cardiac surgery: a prospective, multicentre, observational study Open
Accurate measurement of core temperature is of utmost importance during on-pump cardiac surgery, for detection of hypothermia before cardiopulmonary bypass (CPB), guidance of temperature management on CPB, active rewarming on CPB and guida…
View article: The deal.II Library, Version 9.5
The deal.II Library, Version 9.5 Open
This paper provides an overview of the new features of the finite element library deal.II , version 9.5.
A highly efficient computational framework for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts Open
This article proposes a novel high-performance computing approach for the prediction of the temperature field in powder bed fusion (PBF) additive manufacturing processes. In contrast to many existing approaches to part-scale simulations, t…
Efficient Distributed Matrix-free Multigrid Methods on Locally Refined Meshes for FEM Computations Open
This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening (both h -multigrid), and polynomial global coarsening (a variant of p …
High‐order non‐conforming discontinuous Galerkin methods for the acoustic conservation equations Open
This work compares two Nitsche‐type approaches to treat non‐conforming triangulations for a high‐order discontinuous Galerkin (DG) solver for the acoustic conservation equations. The first approach (point‐to‐point interpolation) uses incon…
High-Order Non-Conforming Discontinuous Galerkin Methods for the Acoustic Conservation Equations Open
This work compares two Nitsche-type approaches to treat non-conforming triangulations for a high-order discontinuous Galerkin (DG) solver for the acoustic conservation equations. The first approach (point-to-point interpolation) uses inexa…
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit Open
We present an implementation of a fully stage-parallel preconditioner for Radau IIA type fully implicit Runge--Kutta methods, which approximates the inverse of $A_Q$ from the Butcher tableau by the lower triangular matrix resulting from an…