Ding, Chensen; Tamma, Kumar K.; Lian, Haojie; Ding, Yanjun; Dodwell, Timothy J.; Bordas, Stéphane P. A. Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. (English) Zbl 1468.74078 Comput. Mech. 67, No. 5, 1255-1271 (2021). MSC: 74S22 74S60 74K25 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Mech. 67, No. 5, 1255--1271 (2021; Zbl 1468.74078) Full Text: DOI
Wang, Yazhou; Xue, Tao; Tamma, Kumar K.; Maxam, Dean; Qin, Guoliang An accurate and simple universal a posteriori error estimator for GS4-1 framework: adaptive time stepping in first-order transient systems. (English) Zbl 1506.65166 Comput. Methods Appl. Mech. Eng. 374, Article ID 113604, 26 p. (2021). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113604, 26 p. (2021; Zbl 1506.65166) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. (English) Zbl 1441.74295 Comput. Methods Appl. Mech. Eng. 349, 266-284 (2019). MSC: 74S60 65C05 65M75 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 349, 266--284 (2019; Zbl 1441.74295) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Cui, Xiangyang; Li, Guangyao; Cai, Yong; Tamma, Kumar K. Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties. (English) Zbl 1469.74120 Comput. Mech. 63, No. 3, 521-533 (2019). MSC: 74S60 74S22 74E35 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Mech. 63, No. 3, 521--533 (2019; Zbl 1469.74120) Full Text: DOI
Deokar, R.; Maxam, D.; Tamma, K. K. 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. (English) Zbl 1440.65133 Comput. Methods Appl. Mech. Eng. 334, 414-439 (2018). MSC: 65M60 65M15 65M50 PDFBibTeX XMLCite \textit{R. Deokar} et al., Comput. Methods Appl. Mech. Eng. 334, 414--439 (2018; Zbl 1440.65133) Full Text: DOI
Ding, Chensen; Cui, Xiangyang; Huang, Guanxin; Li, Guangyao; Tamma, Kumar K. Exact and efficient isogeometric reanalysis of accurate shape and boundary modifications. (English) Zbl 1439.65156 Comput. Methods Appl. Mech. Eng. 318, 619-635 (2017). MSC: 65N30 65D07 65D17 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 318, 619--635 (2017; Zbl 1439.65156) Full Text: DOI
Shimada, M.; Masuri, S.; Tamma, K. K. A novel design of an isochronous integration [iIntegration] framework for first/second order multidisciplinary transient systems. (English) Zbl 1352.65371 Int. J. Numer. Methods Eng. 102, No. 3-4, 867-891 (2015). MSC: 65M60 PDFBibTeX XMLCite \textit{M. Shimada} et al., Int. J. Numer. Methods Eng. 102, No. 3--4, 867--891 (2015; Zbl 1352.65371) Full Text: DOI
Tamma, Kumar K.; Har, Jason; Zhou, Xiangmin; Shimada, Masao; Hoitink, Andrew An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics – a unified approach. (English) Zbl 1284.70005 Arch. Comput. Methods Eng. 18, No. 2, 119-283 (2011). MSC: 70-08 70-02 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Arch. Comput. Methods Eng. 18, No. 2, 119--283 (2011; Zbl 1284.70005) Full Text: DOI
Masuri, S. U.; Sellier, M.; Zhou, X.; Tamma, K. K. Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation. (English) Zbl 1242.74031 Int. J. Numer. Methods Eng. 88, No. 13, 1411-1448 (2011). MSC: 74H15 74H45 70-08 PDFBibTeX XMLCite \textit{S. U. Masuri} et al., Int. J. Numer. Methods Eng. 88, No. 13, 1411--1448 (2011; Zbl 1242.74031) Full Text: DOI
Zhou, Xiangmin; Har, Jason; Tamma, K. K.; Shimada, M. On the numerical discretization in space and time. II: Total energy framework and satisfaction of conservation properties of discretized equations of motion of linear dynamics problems. (English) Zbl 1331.70005 Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 5, 280-298 (2010). MSC: 70-08 70F10 70H25 65M60 PDFBibTeX XMLCite \textit{X. Zhou} et al., Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 5, 280--298 (2010; Zbl 1331.70005) Full Text: DOI
Har, Jason; Tamma, K. K. On the numerical discretization in space and time. I: Hamilton’s law of varying action involving Langrangian/Hamiltonian/total energy framework. (English) Zbl 1331.70004 Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 5, 264-279 (2010). MSC: 70-08 70F10 70H25 65M60 PDFBibTeX XMLCite \textit{J. Har} and \textit{K. K. Tamma}, Int. J. Comput. Methods Eng. Sci. Mech. 11, No. 5, 264--279 (2010; Zbl 1331.70004) Full Text: DOI
Har, Jason; Tamma, Kumar K. Finite element formulations using the theorem of power expended: total energy framework with a differential formulation. (English) Zbl 1397.74187 Acta Mech. 210, No. 3-4, 241-263 (2010). MSC: 74S05 70H25 74H15 PDFBibTeX XMLCite \textit{J. Har} and \textit{K. K. Tamma}, Acta Mech. 210, No. 3--4, 241--263 (2010; Zbl 1397.74187) Full Text: DOI
Masuri, S.; Hoitink, A.; Zhou, X.; Tamma, K. K. Algorithms by design. III: A novel normalized time weighted residual methodology and design of optimal symplectic-momentum based controllable numerical dissipative algorithms for nonlinear structural dynamics. (English) Zbl 1425.74216 Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 1, 57-90 (2009). MSC: 74H15 74S05 74K99 PDFBibTeX XMLCite \textit{S. Masuri} et al., Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 1, 57--90 (2009; Zbl 1425.74216) Full Text: DOI
Masuri, S.; Hoitink, A.; Zhou, X.; Tamma, K. K. Algorithms by design. II: A novel normalized time weighted residual methodology and design of a family of symplectic-momentum conserving algorithms for nonlinear structural dynamics. (English) Zbl 1425.74215 Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 1, 27-56 (2009). MSC: 74H15 74S05 74K99 PDFBibTeX XMLCite \textit{S. Masuri} et al., Int. J. Comput. Methods Eng. Sci. Mech. 10, No. 1, 27--56 (2009; Zbl 1425.74215) Full Text: DOI
Masuri, S. U.; Hoitink, A.; Zhou, X.; Tamma, K. K. Algorithms by design: a new normalized time-weighted residual methodology and design of a family of energy-momentum conserving algorithms for nonlinear structural dynamics. (English) Zbl 1176.74078 Int. J. Numer. Methods Eng. 79, No. 9, 1094-1146 (2009). MSC: 74H15 74S05 74K99 PDFBibTeX XMLCite \textit{S. U. Masuri} et al., Int. J. Numer. Methods Eng. 79, No. 9, 1094--1146 (2009; Zbl 1176.74078) Full Text: DOI
Har, Jason; Tamma, Kumar K. Total energy framework, finite elements, and discretization via Hamilton’s law of varying action. (English) Zbl 1397.74186 Acta Mech. 206, No. 1-2, 105-132 (2009). MSC: 74S05 70H25 74K10 74K20 PDFBibTeX XMLCite \textit{J. Har} and \textit{K. K. Tamma}, Acta Mech. 206, No. 1--2, 105--132 (2009; Zbl 1397.74186) Full Text: DOI
Zhou, X.; Sha, D.; Tamma, K. K. A robust consistent configuration framework and formulation for 3D finite strain dynamic impact problems. (English) Zbl 1194.74231 Comput. Methods Appl. Mech. Eng. 197, No. 51-52, 4571-4590 (2008). MSC: 74M20 74M10 74S20 PDFBibTeX XMLCite \textit{X. Zhou} et al., Comput. Methods Appl. Mech. Eng. 197, No. 51--52, 4571--4590 (2008; Zbl 1194.74231) Full Text: DOI
Hoitink, A.; Masuri, S.; Zhou, X.; Tamma, K. K. Algorithms by design. I: On the hidden point collocation within LMS methods and implications for nonlinear dynamics applications. (English) Zbl 1253.74129 Int. J. Comput. Methods Eng. Sci. Mech. 9, No. 6, 383-407 (2008). MSC: 74S30 65L06 PDFBibTeX XMLCite \textit{A. Hoitink} et al., Int. J. Comput. Methods Eng. Sci. Mech. 9, No. 6, 383--407 (2008; Zbl 1253.74129) Full Text: DOI
Ngo, N. D.; Tamma, K. K. Computational developments for simulation based design: multi-scale physics and flow/thermal/cure/stress modeling, analysis, and validation for advanced manufacturing of composites with complex microstructures. (English) Zbl 1115.74316 Arch. Comput. Methods Eng. 10, No. 1-2, 3-206 (2003). MSC: 74E30 76S05 74S05 76M10 PDFBibTeX XMLCite \textit{N. D. Ngo} and \textit{K. K. Tamma}, Arch. Comput. Methods Eng. 10, No. 1--2, 3--206 (2003; Zbl 1115.74316) Full Text: DOI
Tamma, K. K.; Zhou, X.; Sha, D. A theory of development and design of generalized integration operators for computational structural dynamics. (English) Zbl 1011.74029 Int. J. Numer. Methods Eng. 50, No. 7, 1619-1664 (2001). MSC: 74H15 74K99 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Int. J. Numer. Methods Eng. 50, No. 7, 1619--1664 (2001; Zbl 1011.74029) Full Text: DOI
Tamma, K. K.; Zhou, X.; Sha, D. The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications. (English) Zbl 0987.74004 Arch. Comput. Methods Eng. 7, No. 2, 67-290 (2000). Reviewer: J.C.F.Telles (Rio de Janeiro) MSC: 74-02 74Sxx 70-08 65-02 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Arch. Comput. Methods Eng. 7, No. 2, 67--290 (2000; Zbl 0987.74004) Full Text: DOI
Tamma, Kumar K.; Zhou, Xiangmin; Sha, Desong Towards a formal theory of development/evolution and characterization of time discretized operators for heat transfer. (English) Zbl 0941.65097 Int. J. Numer. Methods Heat Fluid Flow 9, No. 3, 348-380 (1999). Reviewer: V.Makarov (Kyïv) MSC: 65M20 65M60 35K05 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Int. J. Numer. Methods Heat Fluid Flow 9, No. 3, 348--380 (1999; Zbl 0941.65097) Full Text: DOI
Tamma, K. K.; Zhou, X.; Valasutean, R. Computational algorithms for transient analysis: The burden of weight and consequences towards formalizing discrete numerically assigned [DNA] algorithmic markers: \(W_p\)-family. (English) Zbl 0918.73388 Comput. Methods Appl. Mech. Eng. 149, No. 1-4, 153-188 (1997). MSC: 74S99 74H45 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Comput. Methods Appl. Mech. Eng. 149, No. 1--4, 153--188 (1997; Zbl 0918.73388) Full Text: DOI
Sha, Desong; Tamma, Kumar K.; Li, Maocheng Robust explicit computational developments and solution strategies for impact problems involving friction. (English) Zbl 0876.73069 Int. J. Numer. Methods Eng. 39, No. 5, 721-739 (1996). Reviewer: P.K.Mahanti (Ranchi) MSC: 74S05 74S30 74A55 74M15 PDFBibTeX XMLCite \textit{D. Sha} et al., Int. J. Numer. Methods Eng. 39, No. 5, 721--739 (1996; Zbl 0876.73069) Full Text: DOI
Tamma, K. K.; Chen, X.; Sha, D. Further developments towards a new virtual-pulse time integral methodology for general nonlinear transient thermal analysis. (English) Zbl 0811.65075 Commun. Numer. Methods Eng. 10, No. 12, 961-970 (1994). MSC: 65M20 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Commun. Numer. Methods Eng. 10, No. 12, 961--970 (1994; Zbl 0811.65075) Full Text: DOI
Tamma, Kumar K.; Li, Maocheng; Sha, Desong Conjugate gradient based projection: A new explicit computational methodology for frictional contact problems. (English) Zbl 0833.73064 Commun. Numer. Methods Eng. 10, No. 8, 633-648 (1994). Reviewer: J.Prakash (Bombay) MSC: 74S05 74A55 74M15 PDFBibTeX XMLCite \textit{K. K. Tamma} et al., Commun. Numer. Methods Eng. 10, No. 8, 633--648 (1994; Zbl 0833.73064) Full Text: DOI
Tamma, K. K.; Namburu, R. R. An effective finite element modeling/analysis approach for dynamic thermoelasticity due to second sound effects. (English) Zbl 0759.73057 Comput. Mech. 9, No. 2, 73-84 (1992). MSC: 74S05 74A15 80A20 PDFBibTeX XMLCite \textit{K. K. Tamma} and \textit{R. R. Namburu}, Comput. Mech. 9, No. 2, 73--84 (1992; Zbl 0759.73057) Full Text: DOI
Tamma, Kumar K.; Namburu, Raju R. A new finite element based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics. (English) Zbl 0674.73050 Comput. Methods Appl. Mech. Eng. 71, No. 2, 137-150 (1988). MSC: 74S05 74H45 PDFBibTeX XMLCite \textit{K. K. Tamma} and \textit{R. R. Namburu}, Comput. Methods Appl. Mech. Eng. 71, No. 2, 137--150 (1988; Zbl 0674.73050) Full Text: DOI
Tamma, Kumar K.; Railkar, Sudhir B. Nonlinear/linear unified thermal stress formulations: Transfinite element approach. (English) Zbl 0624.73081 Comput. Methods Appl. Mech. Eng. 64, 415-428 (1987). MSC: 74S05 74F05 74B20 74A15 PDFBibTeX XMLCite \textit{K. K. Tamma} and \textit{S. B. Railkar}, Comput. Methods Appl. Mech. Eng. 64, 415--428 (1987; Zbl 0624.73081) Full Text: DOI