A Meshless Method Based on Least-souares Approach for Steady- and Unsteady-state Heat Conduction Problems
نویسندگان
چکیده
The meshles.i method based on the least-squares approach, the rneshle.is weighted leastsquares (MWLS) method, is extended to soive conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretiiai analy.us antl numerical examples indicate that larger time steps can be used in the present method than in meshless methods based on the Galerkin approach. Numerical studies show that the proposed method is a truly meshless method with good accuracy, high convergence rate, and high efficiency.
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