Hae Soo Oh
Research


 

Publications

   Meshless Methods and Multiscale Methods
  1. (with Jeong, J.W. and W.T. Hong) The Generalized Product Partition of Unity for the Meshless Methods (April 2009), submitted to JCP   [PDF]
  2. (with Jeong, J.W.) Almost Everywhere Partition of Uninity to deal with Essential boundary Conditions in Meshless Methods (November 2008), submitted to CMAME  [PDF]
  3. (with Jeong, J.W.) Reproducing Polynomial (Singularity) Particle Methods and Adaptive Meshless Methods for 2-Dim Elliptic Boundary Value Problems, Comput. Methods Appl. Mech. Engrg. 198 (2009) 933-946   [PDF]
  4. (with Kim, J.G., Jeong, J.W.) The Closed Form Reproducing Polynomial Partcle Shape Functions for Meshfree Particle methods, Comput. Methods Appl. Mech. Engrg. 196, (2007) 3435-3461  [PDF]
  5. (with Kim, J. G.and Hong, W. T.) The Piecewise Polynomial Partition of Unity Shape Functions for Generalized Finite Element Method, CMAME, 197, (2008)  [PDF]
  6. with Kim, J.G. and Jeong, J.W.) The Reproducing Singularity Particle Shape functions for Mesh-free Particle Methods for Problems containing Singularities(2007), Computational Mechanics, 41, (2007)   [PDF]
  7. (with Kim, J.G. and Jeong, J.W.) The smooth piecewise polynomial particle shape functions corresponding to patchwise non-uniformly spaced particles for meshfree particles methods, Comutational Mechanics 40 (2007) [PDF]
  8. (with Kim, J.G. and Jeong, J. W.) The Closed Form Reroducing Kernel Partcle Shape Functions, Part 2. Non-Uniformly Distributed Particles}, (2007)  [PDF]

   Singularity problems on Elastic Domains
  1. (with Kim HJ & Lee SJ) The Numerical methods for Accurate FE Solutions of Eliptic PDEs containing Singualrities, Num Meth of PDEs, 19, 399-420 (2003) [PDF]
  2. ((with Kim HJ & Lee SJ) The Numerical mehods for Oscillating Singularities in Boundary Value Problems (2001), J of Com Physics, Vol 170, P742-763   [PDF]
  3. (with Lee SJ & Yun JH ) Extension of the Method of Auxiliary Mapping for Three Dimensional Elliptic BVP(2000), Int. J. of Numer. meth. Eng  [PDF]
  4. (with Guo B) The method of Auxiliary Mapping for the FE solutions of Ellptic PDE on Nonsmooth Domains in $R^3,$ (1998)
  5. (with J. Kim & S. Yum) The Weighted Finite Element method for Linear Elaticity Equations on Unbounded Domains, Submitted in March 1997
  6. (with B. Guo) The Method of Auxiliary Mapping for the Finite Element Solutions of Elliptic Partial Differential Equations on Nonsmooth Domains in $R^3$, Submitted in 1995
  7. (with I. Babuska, I. Andersson, B. Guo, & J. Melenk) Finite Element Method for Solving Problems with Singular Solutions, J. Comput. Appl. Math. 74(1996), No. 1-2, 51-70.
  8. (with I. Babuska) The Method of Auxiliary Mapping for the Finite Element Solutions of Elasticity Problems Containing Singularities, J. Comput. Phys. 121(1995), No. 2, 193-212.
  9. (with B. Guo) The $h$-$p$ Version of the Finite Element Method for the Elliptic Problems with Interfaces, Internat. J. Numer. Methods Engrg. 37(1994), No. 10, 1741-1762
  10. (with T. R. Lucas & Y.S. Hong) Mapping Techniques for the Finite Element Solutions of Elasticity Problems Containing Singularities. (1996)
  11. The $p$-Version of the Finite Element Method for Three-Dimensuional Elliptic Problems Containing Vertex and Edge Singularities, Proceedings in Honor of C.N. Lee's 60th Birthday, 1992, POSTECH
  12. (with T. R. Lucas) The Method of Auxiliary Mapping for the Finite Element Solutions of Elliptic Problems Containing Singularities, J. Comput. Physics. 108(1993), No. 2, 327-342.
  13. (with W. Cai & H. C. Lee) Coupling of Spectral Methods and the $p$-Version of the Finite Element Method for Elliptic Boundary Value Problems Containing Singularities, J. of Comput. Phys. 108(1993), No. 2, 314-326
  14. (with I. Babuska) The $p$-Version of the Finite Element Method for Domains with Corners and for Infinite domains, Numer. Methods Partial Differential Equations 6 (1990), No. 4, 371-392.
  15. (with Babuska) The $p$-Version of the Finite Element Method for Elliptic Bounadary Value Problems with Interfaces, Compt. Methods Appl. Mech. Engrg. 97(1992), No. 2, 211-231..
  16. (with I. Babuska) Pollution Problems of the $p$- and $h$-$p$ Versions of the Finite Element Method, Communication in Applied Numr. Methods, Vol. 3, 553-561 (1987)

   Unbounded Domain Problems
  1. (with Yun, J.H and Jang, B.S.) Finite Element Solution for 3D Elliptic Boundary Value Problems on Unbounded Domains, Num Meth for,22, 1418-1437 PDEs (2006)  [PDF]
  2. (with BS Jang, Diana Jou) The Weighted Riesz-Galerkin Method for Elliptic Boundary Value Problems on Unbounded Domains, Num Meth for PDEs 19, 301-326 (2003)  [PDF]

 Composite Materials and Homogenization
  1. (with Babuska, I.) The Errors in Homogenized Solutions of 1D Elliptic Boundary Value with highly oscillating coefficients and Singularities, under revision
  2. Highly Accurtae Mode Separated Energy Release Rates for Delamination Cracks, J. of Com Physics 193 86-114 (2003)  [PDF]

 

 
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