Outputs (19)

Modelling Fracture Behaviour in Fibre-Hybrid 3D Woven Composites (2024)
Presentation / Conference Contribution
Weatherburn, A., Reinarz, A., Giani, S., & Szyniszewski, S. (2024). Modelling Fracture Behaviour in Fibre-Hybrid 3D Woven Composites. In W. M. Coombs (Ed.), UKACM Proceedings 2024 (162-166). https://doi.org/10.62512/conf.ukacm2024.002

Modelling fracture within 3D woven composites is a significant challenge and the subject of ongoing research due to their complex hierarchical structures. This challenge is heightened when modelling 3D woven composites with multiple fibre types, refe... Read More about Modelling Fracture Behaviour in Fibre-Hybrid 3D Woven Composites.

UM-Bridge: Uncertainty quantification and modeling bridge (2023)
Journal Article
Seelinger, L., Cheng-Seelinger, V., Davis, A., Parno, M., & Reinarz, A. (2023). UM-Bridge: Uncertainty quantification and modeling bridge. The Journal of Open Source Software, 8(83), 4748. https://doi.org/10.21105/joss.04748

Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation (2022)
Presentation / Conference Contribution
Chernov, A., & Reinarz, A. (2022, February). Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation. Paper presented at Oberwolfach Workshop on Space-Time Methods for Time-Dependent Partial Differential Equations

Doubt and Redundancy Kill Soft Errors---Towards Detection and Correction of Silent Data Corruption in Task-based Numerical Software (2021)
Presentation / Conference Contribution
Samfass, P., Weinzierl, T., Reinarz, A., & Bader, M. (2021). Doubt and Redundancy Kill Soft Errors---Towards Detection and Correction of Silent Data Corruption in Task-based Numerical Software. . https://doi.org/10.1109/ftxs54580.2021.00005

Resilient algorithms in high-performance computing are subject to rigorous non-functional constraints. Resiliency must not increase the runtime, memory footprint or I/O demands too significantly. We propose a task-based soft error detection scheme th... Read More about Doubt and Redundancy Kill Soft Errors---Towards Detection and Correction of Silent Data Corruption in Task-based Numerical Software.

High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo (2021)
Presentation / Conference Contribution
Seelinger, L., Reinarz, A., Rannabauer, L., Bader, M., Bastian, P., & Scheichl, R. (2021). High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo. . https://doi.org/10.1145/3458817.3476150

Numerical models of complex real-world phenomena often necessitate High Performance Computing (HPC). Uncertainties increase problem dimensionality further and pose even greater challenges. We present a parallelization strategy for multilevel Markov c... Read More about High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo.

On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations (2020)
Journal Article
Dumbser, M., Fambri, F., Gaburro, E., & Reinarz, A. (2020). On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Journal of Computational Physics, 404, Article 109088. https://doi.org/10.1016/j.jcp.2019.109088

In this paper we propose an extension of the generalized Lagrangian multiplier method (GLM) of Munz et al. [52], [30], which was originally conceived for the numerical solution of the Maxwell and MHD equations with divergence-type involutions, to the... Read More about On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations.

ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems (2020)
Journal Article
Reinarz, A., Charrier, D. E., Bader, M., Bovard, L., Dumbser, M., Duru, K., …Weinzierl, T. (2020). ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. Computer Physics Communications, 254, Article 107251. https://doi.org/10.1016/j.cpc.2020.107251

ExaHyPE (“An Exascale Hyperbolic PDE Engine”) is a software engine for solving systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are typically derived from the conservation laws of physics and are useful in a wi... Read More about ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems.

Vectorization and Minimization of Memory Footprint for Linear High-Order Discontinuous Galerkin Schemes (2020)
Presentation / Conference Contribution
Gallard, J., Rannabauer, L., Reinarz, A., & Bader, M. (2020). Vectorization and Minimization of Memory Footprint for Linear High-Order Discontinuous Galerkin Schemes.

A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems (2019)
Presentation / Conference Contribution
Seelinger, L., Reinarz, A., & Scheichl, R. (2019). A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems.

Role-Oriented Code Generation in an Engine for Solving Hyperbolic PDE Systems (2019)
Presentation / Conference Contribution
Gallard, J., Krenz, L., Rannabauer, L., Reinarz, A., & Bader, M. (2019). Role-Oriented Code Generation in an Engine for Solving Hyperbolic PDE Systems.

High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites (2019)
Journal Article
Butler, R., Dodwell, T., Reinarz, A., Sandhu, A., Scheichl, R., & Seelinger, L. (2020). High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites. Computer Physics Communications, 249, Article 106997. https://doi.org/10.1016/j.cpc.2019.106997

The key innovation in this paper is an open-source, high-performance iterative solver for high contrast, strongly anisotropic elliptic partial differential equations implemented within dune-pdelab. The iterative solver exploits a robust, scalable two... Read More about High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites.

Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation (2019)
Journal Article
Chernov, A., & Reinarz, A. (2019). Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation. Computers and Mathematics with Applications, 78(11), 3605-3619. https://doi.org/10.1016/j.camwa.2019.06.036

The aim of this paper is to develop and analyse stable and accurate numerical approximation schemes for boundary integral formulations of the heat equation with Dirichlet boundary conditions. The accuracy of Galerkin discretisations for the resulting... Read More about Sparse grid approximation spaces for space–time boundary integral formulations of the heat equation.

Influence of A-Posteriori Subcell Limiting on Fault Frequency in Higher-Order DG Schemes (2018)
Presentation / Conference Contribution
Reinarz, A., Gallard, J., & Bader, M. (2018). Influence of A-Posteriori Subcell Limiting on Fault Frequency in Higher-Order DG Schemes. . https://doi.org/10.1109/ftxs.2018.00012

A Bayesian framework for assessing the strength distribution of composite structures with random defects (2018)
Journal Article
Sandhu, A., Reinarz, A., & Dodwell, T. (2018). A Bayesian framework for assessing the strength distribution of composite structures with random defects. Composite Structures, 205, 58-68. https://doi.org/10.1016/j.compstruct.2018.08.074

This paper presents a novel stochastic framework to quantify the knock down in strength from out-of-plane wrinkles at the coupon level. The key innovation is a Markov Chain Monte Carlo algorithm which rigorously derives the stochastic distribution of... Read More about A Bayesian framework for assessing the strength distribution of composite structures with random defects.

dune-composites - A New Framework for High-Performance Finite Element Modelling of Laminates (2018)
Journal Article
Reinarz, A., Dodwell, T., Fletcher, T., Seelinger, L., Butler, R., & Scheichl, R. (2018). dune-composites - A New Framework for High-Performance Finite Element Modelling of Laminates. Composite Structures, 184, 269-278. https://doi.org/10.1016/j.compstruct.2017.09.104

Multiscale Modelling of Lamination Defects in Curved Structures (2017)
Presentation / Conference Contribution
Reinarz, A., Fletcher, T., Dodwell, T., Butler, R., & Scheichl, R. (2017). Multiscale Modelling of Lamination Defects in Curved Structures.

Efficient Modelling and Accurate Certification of Curved Aerospace Laminates (2016)
Presentation / Conference Contribution
Fletcher, T., Reinarz, A., Dodwell, T., Butler, R., Scheichl, R., & Newley, R. (2016). Efficient Modelling and Accurate Certification of Curved Aerospace Laminates.

Numerical quadrature for high-dimensional singular integrals over parallelotopes (2013)
Journal Article
Chernov, A., & Reinarz, A. (2013). Numerical quadrature for high-dimensional singular integrals over parallelotopes. Computers and Mathematics with Applications, 66(7), 1213-1231. https://doi.org/10.1016/j.camwa.2013.07.017

We introduce and analyze a family of algorithms for an efficient numerical approximation of integrals of the form I=∫C(1)∫C(2)F(x,y,y−x)dydx where C(1), C(2)are d-dimensional parallelotopes (i.e. affine images of d-hypercubes) and F has a singularity... Read More about Numerical quadrature for high-dimensional singular integrals over parallelotopes.

High Performance Computing in Science and Engineering
Other
Bader, M., Gabriel, A., Weinzierl, T., Dumbser, M., Rezzolla, L., Gallard, J., Rannabauer, L., Reinarz, A., Samfass, P., Duru, K., Charrier, D., Hazelwood, B., Fambri, F., Tavelli, M., Bovard, L., & Koeppel, S. High Performance Computing in Science and Engineering