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Keywords: partial differential equations
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Journal Articles
Article Type: Research Papers
J. Manuf. Sci. Eng. April 2011, 133(2): 021012.
Published Online: March 23, 2011
... such as lapping and polishing. Therefore, the MRR should be modeled and controlled to maintain the thickness uniformity. In this paper, a PDE-constrained Gaussian process model is developed based on the global Galerkin discretization of the governing partial differential equations (PDEs). Three features...
Journal Articles
Article Type: Research Papers
J. Manuf. Sci. Eng. June 2008, 130(3): 031012.
Published Online: May 23, 2008
... is analyzed. A two-dimensional axial symmetric model is proposed to simulate the changes in the temperature, liquid volumetric fraction, and vapor pressure in the irradiated encrustation. To model the conservation of mass, momentum, and energy, three coupled nonlinear partial differential equations...
Journal Articles
Article Type: Technical Papers
J. Manuf. Sci. Eng. November 2003, 125(4): 709–715.
Published Online: November 11, 2003
...Michael B. Bieterman; Donald R. Sandstrom A novel curvilinear tool-path generation method is described for planar milling of pockets. The method uses the solution of an elliptic partial differential equation boundary value problem defined on a pocket region. This mathematical function helps morph...