Kumar K. Tamma
University of Minnesota
AlgorithmPhysicsMathematical optimizationEngineeringMathematical analysisFinite element methodTransfinite numberNonlinear systemComposite materialThermal conductionGalerkin methodMaterials scienceThermalApplied mathematicsTransient (oscillation)MathematicsComputer scienceComputationHeat transferMechanicsDiscretization
388Publications
30H-index
3,505Citations
Publications 357
Newest
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
#2Tao Xue (RU: Rutgers University)H-Index: 1
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#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
#2Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
Last. David Tae (UMN: University of Minnesota)H-Index: 1
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#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 1
Last. Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
view all 5 authors...
Abstract In this paper, a novel stabilized time-weighted residual methodology under the umbrella of Petrov-Galerkin time finite element formulation is developed to design a generalized computational framework, which permits unconditionally stable, high-order time accuracy, and features with controllable numerical dissipation for solving transient first-order systems. Various unconditionally stable (A/L-stable) algorithms can be readily obtained in the proposed framework having not only high-orde...
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#1Bing Chen (USTB: University of Science and Technology Beijing)H-Index: 4
#2Jiwei Yan (USTB: University of Science and Technology Beijing)H-Index: 1
Last. Kumar K. Tamma (UMN: University of Minnesota)H-Index: 2
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For a dual-motor-driven elliptical vibrating screen, the driving frequencies of the two motors are studied in this paper and it exposes the significant influences of different driving frequencies o...
1 CitationsSource
#1Chensen Ding (University of Exeter)
#1Chensen Ding (University of Exeter)
Last. Stéphane Bordas (Cardiff University)H-Index: 65
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This work models spatially uncorrelated (independent) load uncertainty and develops a reduced-order Monte Carlo stochastic isogeometric method to quantify the effect of the load uncertainty on the structural response of thin shells and solid structures. The approach is tested on two demonstrative applications of uncertainty, namely, spatially uncorrelated loading, with (1) Scordelis–Lo Roof shell structure, and (2) a 3D wind turbine blade. This work has three novelties. Firstly, the research mod...
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#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 1
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
Last. Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
view all 5 authors...
Abstract The “Generalized Single Step Single Solve” framework for first-order transient systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a posteriori error estimator in this paper. Traditional approaches design and employ particular error estimators for particular algorithms on algorithm by algorithm selection basis. In sharp contrast, in this paper, an accurate and simple universal a posteriori error estimator that is agnostic is newly designed to foster feat...
2 CitationsSource
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 1
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
Last. Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
view all 5 authors...
In this paper, we are interested in high-order algorithms for time discretization and focus upon the high-order implicit/explicit algorithm designs. Five high-order unconditionally stable implicit algorithms, derived by the time continuous Galerkin method, weighting parameter method, collocation method, differential quadrature method, and the modified time-weighted residual method, in first-/second-order transient systems are taken into consideration. The present overview and contributions encom...
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#1Tao Xue (RU: Rutgers University)H-Index: 4
#1Tao Xue (RU: Rutgers University)H-Index: 1
Last. Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
view all 5 authors...
Abstract Energy conserving and dissipative algorithm designs in Hamilton’s canonical equations via Petrov–Galerkin time finite element methodology are proposed in this paper that provide new avenues with high-order convergence rate, improved solution accuracy, and controllable numerical dissipation. Lagrange quadratic shape function in time with flexible interpolation points are considered to approximate the solution over a time interval. Instead of specifying the weight functions, two algorithm...
1 CitationsSource
#1Tao Xue (Nanjing University of Science and Technology)H-Index: 4
#1Tao Xue (Nanjing University of Science and Technology)H-Index: 1
Last. Kumar K. Tamma (UMN: University of Minnesota)H-Index: 2
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Abstract A new Lagrangian non-local diffusion model, designed as a meshless particle simulation method, is proposed to predict the thermal response of solids involving discontinuous. The main idea is to understand the heat transfer process of solids via a Lagrangian treatment of a particle-discretized system, which provides a more general physical representation of the heat transfer process of solids. In contrast to the traditional differential model, the proposed mathematical model is expressed...
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#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 1
#1Yazhou Wang (Xi'an Jiaotong University)H-Index: 2
Last. Guoliang Qin (Xi'an Jiaotong University)H-Index: 5
view all 4 authors...
Abstract In this work, the fundamental design procedure, termed as Algorithms by Design, is exploited to establish novel explicit algorithms under the umbrella of linear multi-step (LMS) methods for first-order linear and/or nonlinear transient systems with second-/third-/fourth-order accuracy features. To this end, we focus on developing and designing General Explicit time integration algorithms in an advanced algorithmic fashion typical of the Generalized Single-Step Single-Solve framework for...
4 CitationsSource