The k-Version of Finite Element Method for Initial Value Problems: Mathematical and Computational Framework

DOI10.1080/15502280701252321zbMath1135.65376OpenAlexW1971876666MaRDI QIDQ5451490

Srikanth Allu, Karan S. Surana, J. N. Reddy

Publication date: 27 March 2008

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/10.1080/15502280701252321

zbMATH Keywords

Galerkin methodfinite elementinitial value problemsPetrov-Galerkin methodweighted residual methodhigher order spacesspace-time variational consistencyleast squares processesspace-time integral forms

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

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Riemann shock tube: 1D normal shocks in air, simulations and experiments ⋮ Ordered rate constitutive theories in Lagrangian description for thermoviscoelastic solids without memory ⋮ Strong and Weak Form of the Governing Differential Equations in Least Squares Finite Element Processes inh,p,kFramework ⋮ Ordered rate constitutive theories in Lagrangian description for thermoviscoelastic solids with memory ⋮ Higher Order Global Differentiability Local Approximations for 2-D Distorted Quadrilateral Elements ⋮ Numerical Simulations of BVPs and IVPs in Fiber Spinning Using Giesekus Constitutive Model inhpkFramework ⋮ Evolution, Propagation, Reflection, and Interactions of 1D-normal Shocks in Air and FC70 UsinghpkFinite Element Computational Framework

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