Dr. Angel S. Muleshkov

Publications

Papers in Refereed Journals:

  1. A. Muleshkov, "Infinite Powers", Annual of the Higher Technical Schools, Bulgaria, Vol. VI, Book 2, pp. 77 - 91, 1970 (Title translated.)

 

  1. E. Popov and A. Muleshkov, "A Projective Property of the Curves of the Second Degree", Annual of the Higher Technical Schools, Bulgaria, Vol. VII, Book 4, pp. 165 - 172, 1971 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Seepage Through Homogeneous Earth Dams with Stripped Drainage on Impervious Ground", Annual of High Civil Engineering Institute, Sofia, Bulgaria, Vol. XXV, Book 1, pp. 193 - 212, 1972-1974 (Title translated.)

 

  1. A. Muleshkov, "Conditions for Conformal Mapping of the Interior of Some Polygons onto a Half Plane by Hyper-elliptic Integrals", Annual of the Higher Technical Schools, Bulgaria, Vol. VIII, Book 3, pp. 41 - 52, 1972 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Seepage Through Embankments Having Segmented Concrete Protected Linings", Technitcheska Misl, Bulgaria, Year 10, No. 1, pp. 73 - 80, 1973 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Seepage Through Homogeneous Earth Dam with Discontinuous Drainage on Impervious Ground", Annual of High Civil Engineering Institute, Sofia, Bulgaria, Vol. XXIV, Book 3, pp. 215 - 227, 1973 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Consideration of the Imperfection of Reservoirs in Determination of Unsteady Underground Flow", Annual of High Civil Engineering Institute, Sofia, Bulgaria, Vol. XXVI, Book II, pp. 19 - 30, 1975-1976 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Seepage Due to Leakage from a Reservoir into a Perfect Reservoir Through a Homogeneous Aquifer", Annual of High Civil Engineering Institute, Sofia, Bulgaria, Vol. XXVI, Book II, pp. 31 - 50, 1975-1976 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Theoretical Determination of Water Permeability of Polymer Foil and Dense Soil Base", Technitcheska Misl, Bulgaria, Year XV, No. 6, pp. 35 - 42, 1978 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Determining the Water Permeability of Coverings with Two Layers of Polymer Foil and Dense Soil Between Them", Technitcheska Misl, Bulgaria, Year XVII, No. 2, pp. 59 - 66, 1980 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Determining the Water Permeability of Coverings with Three Layers of Foil Separated by Clay Medium", Technitcheska Misl, Bulgaria, Year XVIII, No. 1, pp. 57 - 62, 1981 (Title translated.)

 

  1. C. Abadjiev and A. Muleshkov, "Determining the Water Permeability of Coverings with Two Layers of Foil and Two Layers of Clay", Technitcheska Misl, Bulgaria, Year XVIII, No. 3, pp. 53 - 58, 1981 (Title translated.)

 

  1. A. Muleshkov, "Hydrodynamic Determination of Steady Seepage Through Embankments on Sloped Impervious Base", Bulgarian Academy of Sciences, Theoretical and Applied Mechanics, Bulgaria, Year XIII, No. 4, pp. 49 - 59, 1982 (Title translated.)

 

  1. A. Muleshkov and S. Banerjee, "Seepage Towards Vertical Cuts", Journal of Geotechnical Engineering, Vol. 113, No. 12, pp. 1419 - 1431, 1987.

 

  1. S. Banerjee and A. Muleshkov, "On the Solution of Seepage Towards Semi-infinite Slopes”, International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 15, No. 4, pp. 271 - 288, 1991.

 

  1. S. Banerjee and A. Muleshkov, "Analytical Solution of Steady Seepage into Double-Walled Cofferdams”, Journal of Engineering Mechanics Division of ASCE, Vol. 118, No. 4, pp. 525 - 539, 1992.

 

  1. C. S. Chen and A. S. Muleshkov, "Critical Lengths for Some Nonlinear Differential Equations", Dynamic Systems and Applications, Volume 3, pp. 121 - 134, 1994.

 

  1. G. F. Carey and A. S. Muleshkov, "Some Conformal Map Constructs for Numerical Grids", Communications in Applied Numerical Methods, Volume 11, pp. 127 - 135, 1995.

 

  1. A. S. Muleshkov, M. A. Golberg, and C. S. Chen, " Particular Solutions of Helmholtz-type Operators Using Higher Order Polyharmonic Splines ", Computational Mechanics, Volume 23, Issue 5/6, pp. 411 - 419, 1999.

 

  1. M. A. Golberg, A. S. Muleshkov, C. S. Chen, and A. H.-D. Cheng, “Polynomial Particular Solutions for Some Partial Differential Operators”, Journal of Numerical Methods for Partial Differential Equations, Volume 19, pp. 112-133, 2003.

 

  1. H. A. Cho, M. A. Golberg, A. S. Muleshkov, and X. Li, “Trefftz Methods for Time Dependent Partial Differential Equations”, Journal of Computers, Materials, and Continua, Volume 1, No 1, pp. 1 – 37, 2004 (Submitted in January 2004, accepted in March 2004, published in April 2004.)

 

  1. C. S. Chen, A. S. Muleshkov, M. A. Golberg, and R. M. M. Mattheij, “A Mesh Free Approach to Solving the Axisymmetric Poisson’s Equation”, Journal of Numerical Methods for Partial Differential Equations, Volume 21, Issue 2, pp. 349-367, 2005.

 

 

      23. A. S. Muleshkov, M. A. Golberg, and C. S. Chen, “Particular Solutions for Axisymmetric Helmholtz-type Operators”, Engineering Analysis with Boundary    Elements,  Volume 29, Issue 11, pp. 1066-1076, 2005.

 

 

 

      24. A. S. Muleshkov and M. A. Golberg, “ Particular Solutions of the Multi-Helmholtz-type Equation”, Engineering Analysis with Boundary Elements (Submitted, April, 2006.)

 

Papers in Refereed Proceedings:

  1. A. S. Muleshkov and C. S. Chen, "A Note on the Critical Lengths for Mixed Boundary Value Problems", Proceedings of The First International Conference on Dynamic Systems and Applications, Volume 1, pp. 271 - 276, 1994.

 

  1. C. S. Chen, A. S. Muleshkov, and M. A. Golberg, “Numerical Evaluation of Particular Solutions for Poisson Equation -- a revisit”, Advances in Boundary Elements, Boundary Elements Method XXI, eds. C. A. Brebbia and H. Power, WIT Press, Boston, Southampton, pp. 313 - 322, 1999.

 

  1. M. A. Golberg, C. S. Chen, and A. S. Muleshkov, “The Method of Fundamental Solutions for Diffusion Equations”, Proceedings of The Thirteenth International Conference on Boundary Element Technology, eds. C. S. Chen, C. A. Brebbia, and D. W. Pepper, WIT Press, Boston, Southampton, pp. 377 - 386, 1999.

 

  1. A. S. Muleshkov, C. S. Chen, M. A. Golberg, and A. H.-D. Cheng, “Analytic Particular Solutions for Inhomogeneous Helmholtz-Type Equations”, Advances in Computational Engineering & Sciences, eds. S. N. Atluri and F. W. Brust, Tech Science Press, Vol. 1, Palmdale, pp. 27 - 32, 2000.

 

  1. A. S. Muleshkov, M. A. Golberg, A. H.-D. Cheng, and C. S. Chen, “Polynomial Particular Solutions for Poisson Problems”, Boundary Elements XXIV, eds. C. S. Brebbia, A. Tadeo, and V. Popov, WIT Press, Southampton, Boston, pp. 115-124, 2002.

 

  1. A.S. Muleshkov, M.A. Golberg, and C.S. Chen, “The Method of Fundamental Solutions for Nonhomogeneous Axisymmetric Problems”, Proceedings of the International Conference on Computational & Experimental Engineering and Sciences (ICES’03), 24-29 July, 2003, Corfu, Greece.

Other Publications:

  1. Muleshkov, A., Banerjee, S., "Analytical and Boundary Element Solutions of Steady Seepage Towards Vertical Cuts" (Publication of the main part of my American Ph. D. dissertation, 136 pages), Technical Report No. 30, Department of Civil Engineering, University of Washington, Seattle, September 1988.

Papers Presented to Conferences (The presenter’s name is underlined.):

  1. Muleshkov, A. S., Golberg M. A., and Chen C. S., “The Method of Fundamental Solutions for Nonhomogeneous Axisymmetric Problems”, International Conference on Computational & Experimental Engineering and Sciences (ICES’03), 24 - 29 July, 2003, Corfu, Greece.

 

  1. Muleshkov, A. S., Golberg, M. A., A. H.-D. Cheng, and Chen C. S., “Polynomial Particular Solutions for Poisson Problems”, Twenty Fourth International Conference on Boundary Element Methods, Sintra, Portugal, June 2002.

 

  1. Muleshkov, A. S., Chen C. S., Golberg, M. A., and Cheng, A. H.-D., “Analytic Particular Solutions for Inhomogeneous Helmholtz-Type Equations”, International Conferences on Computational Engineering and Sciences (ICES’2K -- Symposium on Boundary Element Methods), Los Angeles, August 2000.

 

  1. Chen, C. S., Muleshkov, A. S., and Golberg, M. A., “Numerical Evaluation of Particular Solutions for Poisson Equation -- a revisit”, Twenty First World Conference on The Boundary Element Method, Worcester College, Oxford University, August 1999.

 

  1. Muleshkov, A. S., Chen, C. S., and Golberg, M. A., “Closed Form Polynomial Particular Analytical Solutions for Poisson Equation”, Thirteenth International Conference on Boundary Element Technology, Las Vegas, Nevada, June 1999.

 

  1. Golberg, M. A., Chen, C. S., and Muleshkov, A. S., “The Method of Fundamental Solutions for Diffusion Equations”, Thirteenth International Conference on Boundary Element Technology, Las Vegas, Nevada, June 1999.

 

  1. Muleshkov, A. S., “The Dual Reciprocity Method Using Higher Order Splines”, 20th World Conference on the Boundary Element Method, Orlando, Florida, August 1998.

 

  1. Chen, C. S. and Muleshkov, A. S., “Critical Lengths for Some Nonlinear Differential Equations”, First International Conference on Dynamic Systems & Applications, Atlanta, Georgia, May 1993.

 

  1. Muleshkov, A. S., “Infinite Powers”, Congress of The Balkan Mathematicians, Varna, Bulgaria, June 1972.

Invited Seminar Talks (The presenter’s name is underlined.):

  1. Chen C. S., Muleshkov A. S., Golberg M. A., “The method of particular solution using Chebyshev polynomials” (invited seminar talk), National Taiwan University, December 2002, Taiwan.

 

  1. Muleshkov, A. S., “Application of Conformal Mapping to Solving Laplace's Equation” (invited seminar talk), University of Texas at Austin, Austin, Texas, December 1989.

 

  1. Muleshkov, A. S., “Application of Conformal Mapping to Seepage Problems” (invited seminar talk), New Jersey Institute of Technology, Newark, New Jersey, April 1988.

 

  1. Muleshkov, A. S., “Hydrodynamic Determination of Steady Seepage Through Embankments on Sloped Impervious Base” (invited seminar talk), Bulgarian Academy of Sciences, Sofia, Bulgaria, March 1981.

 

  1. Muleshkov, A. S., “A New Method for Direct Algebraic Solution of a System of Quadratic Equations and the Quadric Equation”, University for Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria, April 1978.

 

  1. Muleshkov, A. S., “Conformal Mapping by Hyper Elliptic Integrals”, University for Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria, March 1971.

 

  1. Muleshkov, A. S. and Popov, E. S., “Some Projective Properties of the Conic Sections”, University for Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria, March 1970.

 

  1. Muleshkov, A. S., “An Alternative Definition of Infinite Powers”, University for Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria, November 1969.