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International Journal for Computational Methods in Engineering Science and Mechanics Volume 10, 2009 - Issue 1
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Original Articles

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

S. Masuri Department of Mechanical Engineering, University of Minneasota, Minneapolis, MN, USA
,
A. Hoitink Department of Mechanical Engineering, University of Minneasota, Minneapolis, MN, USA
,
X. Zhou Department of Mechanical Engineering, University of Minneasota, Minneapolis, MN, USA
&
K. K. Tamma Department of Mechanical Engineering, University of Minneasota, Minneapolis, MN, USA
Pages 27-56 | Received 04 May 2008, Accepted 09 Jun 2008, Published online: 06 Feb 2009

Citations (13)

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Read on this site (3)

V.M. Wheeler, S. Masuri, K.K. Tamma, X. Zhou & M. Sellier. (2012) On the Applicability of an Isochronous Integration Framework for Parabolic/Hyperbolic Heat Conduction Type Problems. Numerical Heat Transfer, Part A: Applications 62:5, pages 372-392.
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S. Masuri, K.K. Tamma, X. Zhou & M. Sellier. (2012) GS4-1 Computational Framework for Heat Transfer Problems: Part 2—Extension to Nonlinear Cases with Illustration to Radiation Heat Transfer Problem. Numerical Heat Transfer, Part B: Fundamentals 62:2-3, pages 157-180.
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S. Masuri, A. Hoitink, X. Zhou & K.K. Tamma. (2009) 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. International Journal for Computational Methods in Engineering Science and Mechanics 10:1, pages 57-90.
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Articles from other publishers (10)

David Tae & Kumar K. Tamma. (2023) Computational Differential Algebraic Equation Framework and Multi Spatial and Time Discretizations Preserving Consistent Second-Order Accuracy: Nonlinear Dynamics. Journal of Applied Mechanics 90:1.
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R. Deokar, D. Maxam & K.K. Tamma. (2018) 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. Computer Methods in Applied Mechanics and Engineering 334, pages 414-439.
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K K Tamma & Siti Ujila Masuri. (2016) A novel extension of GS4-1 time integrator to fluid dynamics type non-linear problems with illustrations to Burgers’ equation. International Journal of Numerical Methods for Heat & Fluid Flow 26:6, pages 1634-1660.
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A. Gravouil, A. Combescure & M. Brun. (2015) Heterogeneous asynchronous time integrators for computational structural dynamics. International Journal for Numerical Methods in Engineering 102:3-4, pages 202-232.
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M. Shimada, S. Masuri & K. K. Tamma. (2015) A novel design of an isochronous integration [ i Integration] framework for first/second order multidisciplinary transient systems . International Journal for Numerical Methods in Engineering 102:3-4, pages 867-891.
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Jason Har & Kumar K. Tamma. 2012. Advances in Computational Dynamics of Particles, Materials and Structures. Advances in Computational Dynamics of Particles, Materials and Structures 669 680 .
S. U. Masuri, M. Sellier, X. Zhou & K. K. Tamma. (2011) Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation. International Journal for Numerical Methods in Engineering 88:13, pages 1411-1448.
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Kumar K. Tamma, Jason Har, Xiangmin Zhou, Masao Shimada & Andrew Hoitink. (2011) An Overview and Recent Advances in Vector and Scalar Formalisms: Space/Time Discretizations in Computational Dynamics—A Unified Approach. Archives of Computational Methods in Engineering 18:2, pages 119-283.
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S. U. Masuri, A. Hoitink, X. Zhou & K. K. Tamma. (2009) 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. International Journal for Numerical Methods in Engineering 79:9, pages 1094-1146.
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Jason Har & Kumar Tamma. (2009) Finite element formulations via the theorem of expended power in the Lagrangian, Hamiltonian and total energy frameworks. Journal of Mechanics of Materials and Structures 4:3, pages 475-508.
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