High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems

DOI10.1002/cnm.781zbMath1077.76045OpenAlexW2083591160WikidataQ60501082 ScholiaQ60501082MaRDI QIDQ5711834

Christopher E. Goodyer, Hong-qiang Lu, Martin Berzins, Peter K. Jimack

Publication date: 8 December 2005

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.781

zbMATH Keywords

finite element method

Mathematics Subject Classification ID

Lubrication theory (76D08) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

Using adjoint error estimation techniques for elastohydrodynamic lubrication line contact problems ⋮ An efficient preconditioned iterative solution of fully-coupled elastohydrodynamic lubrication problems ⋮ Towards the development of an \(h\)-\(p\)-refinement strategy based upon error estimate sensitivity ⋮ Wavelet preconditioned Newton-Krylov method for elastohydrodynamic lubrication of line contact problems ⋮ A new numerical method for BLT forward problem based on high‐order finite elements

Cites Work

• Multilevel matrix multiplication and fast solution of integral equations
• A penalty formulation and numerical approximation of the Reynolds-Hertz problem of elastohydrodynamic lubrication
• A discontinuous \(hp\) finite element method for diffusion problems
• A note on applications of adaptive finite elements to elastohydrodynamic lubrication problems
• A unified treatment of thick and thin film elastohydrodynamic problems by using higher order element methods
• A novel method for integrating first- and second-order differential equations in elastohydrodynamic lubrication for the solution of smooth isothermal, line contact problems
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