Efficient implementation of energy conservation for higher order finite elements with variational integrators

DOI10.1016/j.matcom.2018.03.002OpenAlexW2789972172WikidataQ130097654 ScholiaQ130097654MaRDI QIDQ1997117

Julian Dietzsch, Matthias Bartelt, Michael Groß

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.03.002

zbMATH Keywords

energy conservationvariational integratorhigher order finite elementstime integration schemes

Mathematics Subject Classification ID

Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elastic materials (74Bxx)

Related Items (2)

Variational-based locking-free energy-momentum schemes of higher-order for thermo-viscoelastic fiber-reinforced continua ⋮ Higher order finite elements in space and time for anisotropic simulations with variational integrators. Application of an efficient GPU implementation

Uses Software

• PARDISO
• AUGEM
• CSparse

Cites Work

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• Discrete mechanics and variational integrators
• A comparison of computational methods for large deformation contact problems of flexible bodies
• Direct Methods for Sparse Linear Systems
• Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes
• Geometric Numerical Integration

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