Fully Implicit RUNGE‐KUTTA Schemes for Ideal Elastoplasticity
Abstract: The present paper derives a multifield formulation of ideal elastoplasticity to enable the consistent application of higher order accurate RUNGE‐KUTTA schemes. With the help of an axisymmetric model problem the appearing time discretization errors of distinct schemes are determined and compared.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Fully Implicit RUNGE‐KUTTA Schemes for Ideal Elastoplasticity ; volume:21 ; number:1 ; year:2021 ; extent:2
Proceedings in applied mathematics and mechanics ; 21, Heft 1 (2021) (gesamt 2)
- Creator
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Schröder, Bettina
Kuhl, Detlef
- DOI
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10.1002/pamm.202100025
- URN
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urn:nbn:de:101:1-2021121514160956502155
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:33 AM CEST
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Associated
- Schröder, Bettina
- Kuhl, Detlef
Other Objects (12)
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Runge-Kutta-Munthe-Kaas schemes for stochastic differential equations on manifolds
Implizite Runge-Kutta-Formeln
Runge–Kutta–Möbius methods
Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method
Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Beiträge zum Runge-Kutta-Verfahren
Fehlerabschätzungen für Runge-Kutta-Verfahren
Carl Runge - der Mitschöpfer des Runge-Kutta-Verfahrens
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
Implicit-explicit (IMEX) Runge-Kutta methods for non-hydrostatic atmospheric models
Runge-Kutta-Munthe-Kaas schemes for stochastic differential equations on manifolds
Implizite Runge-Kutta-Formeln
Runge–Kutta–Möbius methods
Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method
Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Beiträge zum Runge-Kutta-Verfahren
Fehlerabschätzungen für Runge-Kutta-Verfahren
Carl Runge - der Mitschöpfer des Runge-Kutta-Verfahrens
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
Implicit-explicit (IMEX) Runge-Kutta methods for non-hydrostatic atmospheric models
Runge-Kutta-Munthe-Kaas schemes for stochastic differential equations on manifolds
Implizite Runge-Kutta-Formeln
Runge–Kutta–Möbius methods
Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method
Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
Diagonally implicit Runge–Kutta (DIRK) integration applied to finite strain crystal plasticity modeling
Beiträge zum Runge-Kutta-Verfahren
Fehlerabschätzungen für Runge-Kutta-Verfahren