Andreas Hessenthaler

Andreas Hessenthaler
Bosch

Doctor of Engineering

About

20
Publications
2,913
Reads
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132
Citations
Citations since 2016
20 Research Items
131 Citations
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20162017201820192020202120220102030
20162017201820192020202120220102030
Additional affiliations
January 2019 - April 2019
University of Michigan
Position
  • PhD Student
April 2018 - August 2018
Lawrence Livermore National Laboratory
Position
  • PhD Student
August 2016 - January 2020
Universität Stuttgart
Position
  • Research Assistant
Education
October 2013 - August 2015
Universität Stuttgart
Field of study
  • Simulation Technology
October 2010 - September 2013
Universität Stuttgart
Field of study
  • Simulation Technology

Publications

Publications (20)
Article
In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic MGRIT algorithm is applied to a variety of linear and nonlinear single- and multiphysics problems that are periodi...
Chapter
Two of the most popular parallel-in-time methods are Parareal and multigrid-reduction-in-time (MGRIT). Recently, a general convergence theory was developed in Southworth [17] for linear two-level MGRIT/Parareal that provides necessary and sufficient conditions for convergence, with tight bounds on worst-case convergence factors. This paper starts b...
Preprint
Full-text available
In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-solution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The time-periodic MGRIT algorithm is applied to a variety of linear and nonlinear single- and multiphysics problems that are periodi...
Article
Full-text available
Intracardiac blood flow is driven by differences in relative pressure, and assessing these is critical in understanding cardiac disease. Non-invasive image-based methods exist to assess relative pressure, however, the complex flow and dynamically moving fluid domain of the intracardiac space limits assessment. Recently, we proposed a method, νWERP,...
Preprint
Full-text available
Two of the most popular parallel-in-time methods are Parareal and multigrid-reduction-in-time (MGRIT). Recently, a general convergence theory was developed in Southworth (2019) for linear two-level MGRIT/Parareal that provides necessary and sufficient conditions for convergence, with tight bounds on worst-case convergence factors. This paper starts...
Article
Full-text available
Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature,...
Thesis
In this work, parallel-in-time integration methods are considered as means to reduce the time-to-solution for numerical algorithms concerned with the solution of time-dependent partial differential equations (PDEs) arising in the field of fluid-structure interaction (FSI) modeling. Parallel-in-time integration methods introduce parallelism in the...
Preprint
Full-text available
Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature,...
Preprint
Full-text available
This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid estimates. The framework provides a priori upper bounds on the convergence of MGRIT V- and F-cycles, with different relaxation schemes, by deriving the respective residual and error propagation operators. The resid...
Poster
Full-text available
Parallel time-integration methods, such as multigrid reduction in time (MGRIT), provide a means for reducing time-to-solution of numerical algorithms. Parallel-in-time methods work well for a range of problem types, however, instabilities may occur in the hyperbolic case. Such instabilities were only observed in numerical experiments and neither an...
Article
Full-text available
Realistic simulations of detailed, biophysics-based, multi-scale models often require very high resolution and, thus, large-scale compute facilities. Existing simulation environments, especially for biomedical applications, are typically designed to allow for high flexibility and generality in model development. Flexibility and model development, h...
Article
This paper presents some recent advances for parallel-in-time methods applied to linear elasticity. With recent computer architecture changes leading to stagnant clock speeds, but ever increasing numbers of cores, future speedups will be available through increased concurrency. Thus, sequential algorithms, such as time stepping, will suffer a bottl...
Preprint
Realistic simulations of detailed, biophysics-based, multi-scale models require very high resolution and, thus, large-scale compute facilities. Existing simulation environments, especially for biomedical applications, are designed to allow for a high flexibility and generality in model development. Flexibility and model development, however, are of...
Preprint
This paper presents some recent advances for parallel-in-time methods applied to linear elasticity. With recent computer architecture changes leading to stagnant clock speeds, but ever increasing numbers of cores, future speedups will be available through increased concurrency. Thus, sequential algorithms, such as time stepping, will suffer a bottl...
Article
In this paper a fluid-structure interaction (FSI) experiment is presented. The aim of this experiment is to provide a challenging yet easy-to-setup FSI test case that addresses the need for rigorous testing of FSI algorithms and modeling frameworks. Steady-state and periodic steady-state test cases with constant and periodic inflow were established...
Article
Full-text available
This paper details the validation of a non-conforming arbitrary Lagrangian-Eulerian fluid-structure interaction (FSI) technique using a recently developed experimental 3D FSI benchmark problem. Numerical experiments for steady and transient test cases of the benchmark were conducted employing an inf-sup stable and a general Galerkin scheme. The per...
Article
Testing and comparison of well-known and recently developed numerical methods and algorithms are the key for their thorough assessment and continued improvement. We will present a short overview of a new 3D FSI experiment that proposes steady and dynamic test cases (referred to as Phase I and Phase II), complementing well-known standard benchmark p...

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Cited By

Projects

Projects (2)
Project
A multigrid reduction in time solver for fluid-structure interaction problems. See also: https://www.researchgate.net/project/Parallel-time-integration-xbraid