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http://dx.doi.org/10.4134/JKMS.2006.43.5.1081

ANALYSIS OF A MESHFREE METHOD FOR THE COMPRESSIBLE EULER EQUATIONS  

Kim, Yong-Sik (Department of General Education Kookmin University)
Pahk, Dae-Hyeon (Department of Mathematics Yonsei University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 1081-1098 More about this Journal
Abstract
Mathematical analysis is made on a mesh free method for the compressible Euler equations. In particular, the Moving Least Square Reproducing Kernel (MLSRK) method is employed for space approximation. With the backward-Euler method used for time discretization, existence of discrete solution and it's $L^2-error$ estimate are obtained under a regularity assumption of the continuous solution. The result of numerical experiment made on the biconvex airfoil is presented.
Keywords
meshfree method; MLSRK; Euler equations; error estimate;
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