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Analysis of a Meshfree Method for the compressible Euler Equations

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Abstract

Mathematical analysis is made on a meshfree method for thecompressible Euler equations. In particular, the Moving LeastSquare Reproducing Kernel (MLSRK) method is employed for spaceapproximation. With the backward-Euler method used for timediscretization, existence of discrete solution and it'sL^2-error estimate are obtained under a regularity assumption ofthe continuous solution. The result of numerical experiment made

참고문헌 (16)

  1. H. J. Choe, "Meshless method for the stationary incompressible Navier-Stokes equations", 1(4), pp.495~526 (2001)
  2. "Meshfree method for thenon-stationary incompressible Navier-Stokes equations", 6(1), pp.17~39 (2006)
  3. "Anh-p Taylor-Garlerkin finite element method for compressibleEuler equations", pp.363~ (1991)
  4. "theory and application to non-spherical stars", pp.275~ (1977)
  5. "Implementation of boundaryconditions for meshless methods", 163(1-4), pp.205~230 (1998)
  6. "Quasi-linear equations of evolution with applicationsto partial differential equations Lecture Notes in Math. 448" (1975), Springer-Verlag
  7. "Point collocation methods using the fast moving least-square reproducing kernel approximation", 56(10), pp.1445~1464 (2003)
  8. P. D. Lax, "Hyperbolic systems of conservation laws and themathematical theory of shock waves" (1973)
  9. "Reproducing Kernel HierarchicalPartition of Unity", 45(3), pp.251~288 (1999)
  10. "Reproducing Kernel Hierarchical Partition of Unity,Part II--Appli-cations", 45(3), pp.289~317 (1999)
  11. "Reproducing KernelParticle Methods", 20(8-9), pp.1081~1106 (1995)
  12. "Reproducing Kernel Particle Methods for Structural Dynamics", 38(10), pp.1655~1679 (1995)
  13. "Moving Least SquareReproducing Kernel Methods (I) Methodology and Convergence", 143(1-2), pp.113~154 (1997)
  14. "Wavelet and Multiple Scale ReproducingKernel Methods", 21(10), pp.901~931 (1995)
  15. "Compressible Fluid Flow and Systems of Conservation Lawsin Several Space Variables" (1984), Springer-Verlag
  16. "The Partition of UnityFinite Element Method: basic theory and applications", 139(1-4), pp.289~314 (1996)

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