22 citations · 47 across the 10 of their papers we have counts for
11 papers
Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation
Emmanuel Agullo, Hartwig Anzt, Daniel Bauer +37
Reduced and mixed precision have moved from a niche optimization to a central design axis in scientific computing and engineering, driven by energy constraints, heterogeneous accel…
Thermodynamically consistent phase-field modeling and numerical simulation for reactive two-phase fluid-solid dynamics
Cedric Riethmüller, Lars von Wolff, Dominik Göddeke +1
We introduce a coupled Cahn-Hilliard Navier-Stokes model that governs the reactive two-phase dynamics of a system that consists of a fluid and a solid phase and prove its thermodyn…
Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines
Björn Schembera, Frank Wübbeling, Hendrik Kleikamp +8
In applied mathematics and related disciplines, the modeling-simulation-optimization workflow is a prominent scheme, with mathematical models and numerical algorithms playing a cru…
Partitioned Coupling vs. Monolithic Block-Preconditioning Approaches for Solving Stokes-Darcy Systems
Jenny Schmalfuss, Cedric Riethmüller, Mirco Altenbernd +2
We consider the time-dependent Stokes-Darcy problem as a model case for the challenges involved in solving coupled systems. Keeping the model, its discretization, and the underlyin…
Bayesian inversion for electromyography using low-rank tensor formats
Anna Rörich, Tim A. Werthmann, Dominik Göddeke +1
The reconstruction of the structure of biological tissue using electromyographic data is a non-invasive imaging method with diverse medical applications. Mathematically, this proce…
Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier +13
In the Exa-Dune project we have developed, implemented and optimised numerical algorithms and software for the scalable solution of partial differential equations (PDEs) on future…
Simulation of Nonlinear Signal Propagation in Multimode Fibers on Multi-GPU Systems
Marius Brehler, Malte Schirwon, Peter M. Krummrich +1
Mode-division multiplexing (MDM) is seen as a possible solution to satisfy the rising capacity demands of optical communication networks. To make MDM a success, fibers supporting t…
A p-multigrid method enhanced with an ILUT smoother and its comparison to h-multigrid methods within Isogeometric Analysis
R. Tielen, M. Möller, D. Göddeke +1
Over the years, Isogeometric Analysis has shown to be a successful alternative to the Finite Element Method (FEM). However, solving the resulting linear systems of equations effici…
A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application
Christian Engwer, Mirco Altenbernd, Nils-Arne Dreier +1
C++ advocates exceptions as the preferred way to handle unexpected behaviour of an implementation in the code. This does not integrate well with the error handling of MPI, which mo…
Towards realistic HPC models of the neuromuscular system
Chris Bradley, Nehzat Emamy, Thomas Ertl +9
Realistic simulations of detailed, biophysics-based, multi-scale models require very high resolution and, thus, large-scale compute facilities. Existing simulation environments, es…
HONEI: A collection of libraries for numerical computations targeting multiple processor architectures
Danny van Dyk, Markus Geveler, Sven Mallach +3
We present HONEI, an open-source collection of libraries offering a hardware oriented approach to numerical calculations. HONEI abstracts the hardware, and applications written on…