Algorithms by Design: Part II—A Novel Normalized Time Weighted Residual Methodology and Design of a Family of Symplectic-Momentum Conserving Algorithms for Nonlinear Structural Dynamics

DOI10.1080/15502280802575422zbMath1425.74215OpenAlexW1971109108MaRDI QIDQ3404057

Andrew Hoitink, Siti Ujila Masuri, Kumar K. Tamma, Xiangmin Zhou

Publication date: 5 February 2010

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280802575422

zbMATH Keywords

finite elementsnonlinear dynamicstime integrationcomputational dynamicsLMS methods and time levelsympletic-momentum conserving

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation ⋮ Heterogeneous asynchronous time integrators for computational structural dynamics ⋮ A novel design of an isochronous integration [iIntegration framework for first/second order multidisciplinary transient systems] ⋮ A novel extension of GS4-1 time integrator to fluid dynamics type non-linear problems with illustrations to Burgers’ equation ⋮ An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach ⋮ A novel and simple a posteriori error estimator for LMS methods under the umbrella of GSSSS framework: adaptive time stepping in second-order dynamical systems ⋮ Algorithms by design: A new normalized time-weighted residual methodology and design of a family of energy-momentum conserving algorithms for non-linear structural dynamics ⋮ Algorithms by Design: Part III—A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics

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