Peter Betsch

Karlsruhe Institute of Technology — Germany

Mathematics · Physical Sciences

33h-index3.7kcitations205works1.32yr avg
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Research Topics

Numerical methods for differential equations(103), Dynamics and Control of Mechanical Systems(91), Advanced Numerical Methods in Computational Mathematics(45), Elasticity and Material Modeling(35), Numerical methods in engineering(33)

Publications205 total

Mixed formulation and structure-preserving discretization of Cosserat rod dynamics in a port-Hamiltonian framework
arXiv (Cornell University)·2025Open Access
Computer simulation of the inverse dynamics of a three-cable suspension manipulator
Multibody System Dynamics·2025
Galerkin-based time integration approaches to rigid body dynamics in terms of unit quaternions
Multibody System Dynamics·2025Open Access
Energy-momentum-consistent simulation of planar geometrically exact beams in a port-Hamiltonian framework
Multibody System Dynamics·2025· 3 citedOpen Access
Galerkin-based time integration approaches to rigid body dynamics in terms of unit quaternions
2025· 1 citedOpen Access
Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems
International Journal for Numerical Methods in Engineering·2025· 2 citedOpen Access
Energy-momentum-consistent simulation of planar geometrically exact beams in a port-Hamiltonian framework
2025Open Access
Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems
KITopen·2025Open Access
Port-Hamiltonian formulation and structure-preserving discretization of finite elasticity based on a mixed Hu-Washizu-type formulation
SSRN Electronic Journal·2025Open Access
Optimal control of constrained mechanical systems in redundant coordinates: Formulation and structure-preserving discretization
Computer Methods in Applied Mechanics and Engineering·2024· 5 citedOpen Access
A projection‐based quaternion discretization of the geometrically exact beam model
International Journal for Numerical Methods in Engineering·2024· 1 citedOpen Access
Conserving integration of multibody systems with singular and non-constant mass matrix including quaternion-based rigid body dynamics
Multibody System Dynamics·2024· 1 citedOpen Access
Conserving integration of multibody systems with singular and non-constant mass matrix including quaternion-based rigid body dynamics
Research Square (Research Square)·2024· 1 citedOpen Access
Finite Element Formulations for Axisymmetric Solids: A New Approach Based on the Petrov-Galerkin Method
2024Open Access
Generalized Maxwell viscoelasticity for geometrically exact strings: Nonlinear port-Hamiltonian formulation and structure-preserving discretization
IFAC-PapersOnLine·2024· 6 citedOpen Access
Structure-Preserving Discretization of a Polyconvexity-Inspired Formulation for Coupled Nonlinear Electro-Thermo-Elastodynamics
IFAC-PapersOnLine·2024· 1 citedOpen Access
Energy-consistent integration of mechanical systems based on Livens principle
arXiv (Cornell University)·2023· 2 citedOpen Access
Advanced discretization techniques for hyperelastic physics-augmented neural networks
2023
Discrete nonlinear elastodynamics in a port‐Hamiltonian framework
PAMM·2023· 5 citedOpen Access
Advanced discretization techniques for hyperelastic physics-augmented neural networks
Computer Methods in Applied Mechanics and Engineering·2023· 15 cited
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Frequent Co-authors

Paul Steinmann(13), Christian Hesch(12), E. Stein(5), Alexander Janz(5), Michael Groß(5), Sigrid Leyendecker(4), Antonio J. Gil(3), Marlon Franke(3), Stefan Uhlar(3), Rogelio Ortigosa(2), Nicolas Sänger(2), Melanie Krüger(2), Mark Schiebl(2), F. Gruttmann(1), Andreas Menzel(1), Ralf Siebert(1), Olivier A. Bauchau(1), Alberto Cardona(1), Johannes Gerstmayr(1), Ben Jonker(1)