Strong and Weak Form of the Governing Differential Equations in Least Squares Finite Element Processes inh,p,kFramework

DOI10.1080/15502280701606617zbMath1143.65064OpenAlexW2002876634MaRDI QIDQ3499041

Srikanth Allu, L. R. Anthoni, Karan S. Surana, J. N. Reddy

Publication date: 19 May 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/10.1080/15502280701606617

zbMATH Keywords

finite element methodnumerical examplesgas dynamicsweak formstrong formhpk framework

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

Riemann shock tube: 1D normal shocks in air, simulations and experiments ⋮ Numerical Simulations of BVPs and IVPs in Fiber Spinning Using Giesekus Constitutive Model inhpkFramework ⋮ Computations of Numerical Solutions in Polymer Flows Using Giesekus Constitutive Model in thehpkFramework with Variationally Consistent Integral Forms

Cites Work

• Unnamed Item
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• A space-time least-square finite element scheme for advection-diffusion equations
• A mixed-variable continuously deforming finite element method for parabolic evolution problems. Part I: The variational formulation for a single evolution equation
• A mixed-variable continuously deforming finite element method for parabolic evolution problems. Part II: The coupled problem of phase-change in porous media
• k-version of finite element method in gas dynamics: higher-order global differentiability numerical solutions
• A mixed‐variable continuously deforming finite element method for parabolic evolution problems. Part III: Numerical implementation and computational results
• p‐version least squares finite element formulation for two‐dimensional, incompressible, non‐Newtonian isothermal and non‐isothermal fluid flow
• A space–time coupled p‐version least‐squares finite element formulation for unsteady fluid dynamics problems
• The k-Version of Finite Element Method for Initial Value Problems: Mathematical and Computational Framework

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