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REFERRED JOURNAL PUBLICATIONS / TECHNICAL REPORTS


2004
  • J. T. Oden, S. Prudhomme, and L. Demkowicz, " A Posteriori Error Estimation for Acoustic Wave Propagation Problems "
ICES Report 04-32, 2004
  • D. Boffi, M. Costabel, M. Dauge, and L. Demkowicz, " Discrete Compactness for the hp Version of Rectangular Edge Finite Elements "
ICES Report 04-29, 2004
  • L. Demkowicz and A. Buffa, " H^1, H(curl) and H(div)-Conforming Projection-Based Interpolation in Three Dimensions. Quasi Optimal p-Interpolation Estimates "
ICES Report 04-24, 2004
  • W. Rachowicz, D. Pardo, and L. Demkowicz, " Fully Automatic hp-Adaptivity in Three Dimensions "
ICES Report 04-22, 2004
  • M. Paszynski, J. Kurtz, and L. Demkowicz, " Parallel, Fully Automatic hp-Adaptive 2D Finite Element Package "
ICES Report 04-07, 2004
  • L. Demkowicz, " Projection-Based Interpolation "
ICES Report 04-03, 2004
  • J. Gopalakrishnan, and L. Demkowicz, " Quasioptimality of Some Spectral Mixed Methods "
Journal of Computational and Applied Mathematics,
167 (1), 163-182, 2004.
  • T. Walsh, L. Demkowicz, and R. Charles, " Boundary Element Modeling of the External Human Auditory System "
J. Acoust. Soc. Am.,
115 (3), March 2004.
  • P. Solin and L. Demkowicz, " Goal-Oriented hp-Adaptivity for Elliptic Problems "
Comput. Methods Appl. Mech. Engrg.,
193, 449-468, 2004.
2003
  • Dong Xue and L. Demkowicz, " Reconstructing of G1 Surfaces with Biquartic Patches and Other Techniques "
ICES Report 03-51, 2003
  • J. Gopalakrishnan, L.E. Garcia-Castillo, and L. Demkowicz, " Nedelec Spaces in Affine Coordinates "
ICES Report 03-48, 2003
  • M. Ainsworth and L. Demkowicz " Explicit Polynomial Preserving Trace liftings on a Triangle "
ICES Report 03-47, 2003
  • M. Ainsworth, L. Demkowicz, and Chang-Wan Kim, " Analysis of the Equilibrated Residual Method for A Posteriori Error Estimation on Meshes with Hanging Nodes "
ICES Report 03-46, 2003
  • L. Demkowicz, and I. Babuska, " Optimal p Interpolation Error Estimates for Edge Finite Elements of Variable Order in 2D "
SIAM J. Numer. Anal., 41 (4), 1195-1208, 2003
  • D. Boffi, L. Demkowicz, and M. Costabel, " Discrete Compactness for p and hp 2D Edge Finite Elements "
Mathematical Models and Methods in Applied Sciences, 13 (11), 1673-1687, 2003.
  • W. Cecot, L. Demkowicz and W. Rachowicz, " Three dimensional Infinite Element for Maxwell's Equations "
International Journal for Numerical Methods in Engineering, 57, 899-921, 2003
  • L. Vardapetyan, L. Demkowicz, and D. Neikirk, " Hp Vector Finite Element Method for Eigenmode Analysis of Waveguides "
Computer Methods in Applied Mechanics and Engineering, 192, 185-201, 2003
  • L. Demkowicz " hp-Adaptive Finite Elements for Time-Harmonic Maxwell Equations "
Topics in Computational Wave Propagation, M. Ainsworth, P. Davies, D. Duncan, P. Martin, B. Rynne (Eds.), Lecture Notes in Computational Science and Engineering, Springer Verlag, Berlin 2003
  • L. Demkowicz, " Exact Sequences, de Rham Diagram, Maxwell Equations, and hp-Adaptivity "
Proceedings of 15th International Conference on Computer Methods in Mechanics, CMM-2003, Wisla, Poland
  • Dong Xue, L. Demkowicz, and Adam Zdunek, " An Interface Between Geometrical Modeling Package (GMP) and Mesh-Based Deometry (MBG) "
TICAM Report 03-20, June 2003
2002
  • W. Rachowicz and L. Demkowicz, " An hp-Adaptive Finite Element Method for Electromagnetics. Part 2: A 3D Implementation "
International Journal for Numerical Methods in Engineering, 53, 147-180, 2002.
  • J. Gopalakrishnan, J. Pasciak, and L. Demkowicz, " Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations "
SIAM Journal on Numerical Analysis, accepted
  • Dong Xue and L. Demkowicz, " Geometrical Modeling Package. Version 2.0 "
TICAM Report 02-30, 2002
  • D. Pardo and L. Demkowicz, " Integration of hp-Adaptivity and Multigrid. I. A Two Grid Solver for hp Finite Elements"
TICAM Report 02-33, 2002
  • L. Demkowicz, W. Rachowicz, and Ph. Devloo, " A Fully Automatic hp-Adaptivity"
Journal of Scientific Computing,
17, Nos 1-3 (2002), 127-155
  • L. Vardapetyan and L. Demkowicz, " Full-wave analysis of dielectric waveguides at a given frequency "
Mathematics of Computation,
72, 105-129, 2002.
2001
  • T. Walsh and L. Demkowicz, "hp Boundary Element Modeling of the External Human Auditory Sytem - Goal Oriented Adaptivity with Multiple Load Vectors"
TICAM Report 01-03, 2001
  • A. Bajer and L. Demkowicz "Dynamic Contact/Impact Problems, Energy Conservation and Planetary Gear Trains"
TICAM Report 01-12, 2001
  • P. Monk, L. Demkowicz, and L. Vardapetyan, "Discrete Compactness and the Approximation of Maxwell's Equations in R3"
Mathematics of Computation,
70 (2001), 507-523
  • L. Demkowicz and A. Bajer, "Conservative discretization of contact/impact problems for nearly rigid bodies"
Computer Methods in Applied Mechanics and Engineering, Volume 190, Issues 15-17, 5 January 2001, pp. 1903-192
2000
  • L. Demkowicz,"Edge Finite Elements of Variable Order for Maxwell's Equations - A Discussion"
TICAM Report 00-32, 2000
  • W. Cecot, L. Demkowicz, and W. Rachowicz, "A Two-Dimensional Infinite Element for  Maxwell's Equations"
Computers Methods in Applied Mechanics and Engineering,Vol. 188, Issues 1-3, 21 Jul 2000, Pages 625-643
  • W. Rachowicz and L. Demkowicz, "An hp-Adaptive Finite Element Method for Electromagnetics. Part 1: Data Structure and Constrained Approximation"
Computer Methods in Applied Mechanics and Engineering, Volume 187, Issues 1-2, 23 June 2000, pp. 307-337
1999
  • T. Walsh, L. Demkowicz, " A Parallel Multifrontal Solver for hp-Adaptive Finite Elements"
TICAM Report 99-01
  • L. Demkowicz, P. Monk, L. Vardapetyan, and W. Rachowicz. "De Rham Diagram for hp Finite Element Spaces"
TICAM Report 99-06 and Computers & Mathematics with Applications, Volume 39,Issues 7-8, April 2000, Pages 29-38
  • L. Demkowicz, P. Monk, Ch. Schwab, and L. Vardapetyan, "Maxwell Eigenvalues and Discrete Compactness in Two Dimensions"
TICAM Report 99-12 and Computers & Mathematics with Applications, Volume 40, Issues 4-5, August-September 2000, pp. 589-605
  • L. Demkowicz and A. Bajer, "Contact/Impact Problems, Energy Conservation and Planetary Gears"
TICAM Report 99-13
  • L. Vardapetyan and L. Demkowicz, "Full-Wave Analysis of Dielectric Waveguides at a Given Frequency"
TICAM Report 99-22 and Mathematics of Computation, 72, 105-129, 2002
  • L. Demkowicz, A. Bajer, W. Rachowicz, K. Gerdes, "3D hp-Adaptive Finite Element Package. Fortran 90 Implementation (3Dhp90)"
TICAM Report 99-29
  • L. Demkowicz, Chang-wan Kim, "1D hp-Adaptive Finite Element Package. Fortran 90 Implementation (1Dhp90)"
TICAM Report 99-38
  • Chang, Y.C., Demkowicz, L., "Solution of Viscoelastic Scattering Problems in Linear Acoustics Using hp Boundary/Finite Element Method"
International Journal for Numerical Methods in Engineering, Volume 44, Issue 12, 1999, Pages 1885-1907
1998
  • L. Demkowicz, T. Walsh, K. Gerdes, and A. Bajer, "2D hp-Adaptive Finite Element Package. Fortran 90 Implementation (2Dhp90)"
TICAM Report 98-14
  • L. Demkowicz, K. Gerdes, C. Schwab, A. Bajer and T. Walsh, "HP90: A General and Flexible Fortran 90 hp-FE Code"
Computing and Visualization in Science, Vol. 1, 145-163, 1998
  • W. Rachowicz and L. Demkowicz, "A Two-Dimensional hp-Adaptive Finite Element Package for Electromagnetics (2Dhp90_EM)"
TICAM Report 98-16
  • L. Demkowicz, L. Vardapetyan, "Modeling of Electromagnetic Absoption/Scattering Problems Using hp-Adaptive Finite Elements"
Computer Methods in Applied Mechanics and Engineering, 152,1-2, 103-124, 1998
  • Demkowicz, L.F., and Gerdes, K., "Convergence of the Infinite Element Methods for the Helmholtz Equation in Separable Domains"
Numerische Mathematik, Volume 79, Issue 1, pp 11-42, 1998
1997
  • Banas, K., Demkowicz, L., "New Quasi-natural Artificial Viscosity Models for Compressible Fluid Flow, with an Improved Entropy Production Mechanism"
Journal of Theoretical and Applied Mechanics, Vol. 35, No. 2, 233-248, 1997
  • L. Demkowicz and L. Vardapetyan, "Modeling of Electromagnetic Absorption/ Scattering Problems Using hp Boundary / Finite Elements"
TICAM Report 97 - 02, February 1997
  • L. Demkowicz and Y. C. Chang,"Solution of Viscoelastic Scattering Problems in Linear Acoustics Using Coupled hp Boundary/Finite Element Methods"
TICAM Report 97 - 04, April 1997
  • L. Vardapetyan and L. Demkowicz,"hp-Adaptive Finite Elements in Electromagnetics"
TICAM Report 97 - 25, September 1997 and in "Computers Methods in Applied Mechanics and Engineering", Vol. 169, 331-344, 1999
  • L. Demkowicz and M. Pal,"An Infinite Element for Maxwell's Equations"
TICAM Report 97 - 26, September 1997 and Computer Methods in Applied Mechanics and Engineering, 164, 1-2, 77-94, 1998
  • L. Demkowicz and F. Ihlenburg, "Proof of Congergence for the Coupled Finite/Infinite Element Methods for the Helmholtz Exterior Boundary-Value Problems"
IUTAM Symposium on Computational methods for Unbounded Domains, Boulder, CO, 1997
1996
  • L. Demkowicz and F. Ihlenburg, "Analysis of a Coupled Finite-Infinite Element Method for Exterior Helmholtz Problems"
TICAM Report 96-52, November 1996, (updated June 98)
  • Demkowicz, L. F., and Oden, J. T., "Application of hp-Adaptive BE/FE Methods to Elastic Scattering", in a special issue on p and hp methods, edited by I.Babuska and J.T. Oden
Computer Methods in Applied Mechanics and Engineering, Vol. 133, 3-4, 287-318, 1996
  • Geng, P., Oden, J. T., and Demkowicz, L.F., "Solution of Exterior Acoustic Problems by the Boundary Element Method at High Wave Number, Error Estimation and Parallel Computation"
Journal of Acoustical Society of America, Vol. 100. No. 1, 335-345, 1996
  • Demkowicz, L. F., and Gerdes, K., "Solution of 3D Laplace and Helmholtz Equations in Exterior Domains Using hp Infinite Element Methods"
Computers Methods in Applied Mechanics and Engineering, Vol. 137, 239-274, 1996
  • Banas, K., and Demkowicz, L. F., "Entropy Controlled Adaptive Finite Element Simulations for Compressible Gas Flow"
Journal of Computational Physics., Vol. 126, 181-201, 1996
  • L. Demkowicz,"VISCOELASTIC VIBRATIONS IN FLUID. Analysis of model problem"
TICAM Report 96 - 12, March 1996
  • K. Gerdes and L. Demkowicz,"Solution of the 3D Helmholtz Equation in the Exterior Domains of Arbitrary Shape Using Coupled hp Finite / Infinite Element Methods"
TICAM Report 96 - 49, October 1996
  • L. Demkowicz and F. Ihlenburg,"Analysis of a Coupled Finite - Infinite Element Method for Exterior Helmholtz Problems"
TICAM Report 96 - 52, November 1996 and ZAMM 78 (1998) Suppl.3, S949-S950
1995
  • L. Demkowicz and K. Gerdes,"Solution of 3D-LaPlace and Helmholtz Equations in Exterior Domains Using HP-Infinite Elements"
TICAM Report 95-04, April 1995
  • L. Demkowicz and K. Gerdes,"Convergence of the Infinite Element Methods for the Helmholtz Equation"
TICAM Report 95-07,May 1995
  • Y. C. Chang and L. Demkowicz, "A Stability Analysis for Vibrating Viscoelastic Spherical Shells (The Effect of Damping on the LBB Constants of Vibration Problems)"
TICAM Report 95-08,June 1995 and Taiwanese Journal of Mathematics, Vol. 2, No. 2, 213-242, June 1998
  • P. Geng, J. Tinsley Oden, and L. Demkowicz, "Solution of Exterior Acoustic Problems by the Boundary Element Method at High Wave Numbers, Error Estimation and Parallel Computation"
TICAM Report 95-09, June 1995
1994
  • Demkowicz, L. F., and Oden, J. T., "Recent Progress on Applications of hp-Adaptive BE/FE Methods to Elastic Scattering", (with J.T.Oden)
International Journal for Numerical Methods in Engineering, Vol. 37, (1994), pp. 2893-2910
  • Demkowicz, L. F., "Asymptotic Convergence in Finite and Boundary Element Methods. Part 1: Theoretical Results"
Computers Mathematics with Applications, Vol. 27, 12, 69-84, 1994
  • Demkowicz, L. F., "Asymptotic Convergence in Finite and Boundary Element Methods. Part 2: The LBB Constant for Rigid and Elastic Problems"
Computers Mathematics with Applications, Vol. 28, 6, 93-109, 1994
  • Y. C. Chang and L. Demkowicz,"Vibrations of a Spherical Shell. Comparison of 3-D Elasticity and Kirchhoff Shell Theory Results"
TICAM Report 94-06, May 1994 and Computer Assisted Mechanics and Engineering Sciences, Vol.2, 187-206, 1995
  • Y. C. Chang and L. Demkowicz,"Scattering on a Spherical Shell Problem. Comparison of 3-D Elasticity and Kirchhoff Shell Theory Results"
TICAM Report 94-12, September 1994 and Computer Assisted Mechanics and Engineering Sciences, Vol.2, 207-229, 1995
  • G. Zboinski and L. Demkowicz,"Application of the 3D hpq Adaptive Finite Element for Plate and Shell Analysis"
TICAM Report 94-13,July 1994
  • J. T. Oden, A. Safjan, P. Geng, and L. Demkowicz,"High-Order, Multi-Level, Adaptive Time-Domain Methods for Structural Acoustics Simulations"
TICAM Report 94-14,October 1994
  • L. Demkowicz and J. T. Oden,"Application of HP-Adaptive BE/FE Methods to Elastic Scattering"
TICAM Report 94-15, December 1994
1993
  • Demkowicz, L. F., and Banas, K., "3D hp Adaptive Package"
SAM Report 2/1993, Section of Applied Mathematics, Cracow University of Technology, March 1993
  • Edwards, G. M. , Oden, J. T. , and Demkowicz, L. F., "An h-r Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions"
SIAM Journal of Scientific Computations, Vol. 14, No 1, pp.185-217, 1993
1992
  • Demkowicz, L. F., Banas, K., Kucwaj, J., and Rachowicz, W., "2D hp Adaptive Package"
SAM Report 4/1992, Section of Applied Mathematics, Cracow University of Technology, September 1992
  • Demkowicz, L. F., Bajer, A., and Banas, K., "Geometrical Modeling Package"
TICOM Report 92-06, August 1992, The University of Texas at Austin, Austin TX 78712
1991
  • Demkowicz, L. F., Karafiat, A., and Oden, J. T., "On the Weak Form of Hypersingular Formulation for Scattering Problems in Linear Acoustics"
TICOM Report 1991/1, The University of Texas at Austin, Austin, Texas 78712
  • Safjan, A., Demkowicz, L. F., and Oden, J. T., "Adaptive Finite Element Methods for Hyperbolic Systems with Application to Transient Acoustics"
International Journal for Numerical Methods in Engineering, Vol.32, pp. 677-707 (1991)
  • Demkowicz, L. F., Oden, J. T., Ainsworth, M., and Geng, P., "Solution of Elastic Scattering Problems in Linear Acoustics Using h-p Boundary Element Methods"
Journal of Computational and Applied Mathematics, Vol. 36 (1991), pp. 29-63
  • Demkowicz, L. F., "A Note on Symmetry Boundary Conditions"
Letters in Applied Mathematics, Vol.4, No.5, 27-30,1991
  • Oden, J. T, and Demkowicz, L. F., "h-p Adaptive Finite Element Methods in Computational Fluid Dynamics"
Second World Congress on Computational Mechanics, Stuttgart, August 1990 , Computational Methods in Applied Mechanics and Engineering, Vol. 89 (1991), pp. 11-40
  • Demkowicz, L. F., Karafiat, A., and Oden, J. T., "Solution of Elastic Scattering Problems in Linear Acoustics Using h-p Boundary Element Method"
(Proceedings of Second Workshop on Reliability and Adaptive Methods in Computational Mechanics, Cracow, October 1991, eds. L. Demkowicz, J.T. Oden and I.Babuska) Computer Methods in Applied Mechanics and Engineering, Vol. 101, pp. 251-282
  • Kuczma, M. S. and Demkowicz, L. F., "An Adaptive Algorithm for Unilateral Viscoelastic Contact Problems for beams and Plates"
(Proceedings of Second Workshop on Reliability and Adaptive Methods in Computational Mechanics, Cracow, October 1991, eds. L.Demkowicz, J.T.Oden and I.Babuska) , Computer Methods in Applied Mechanics and Engineering, Vol. 101, pp.183-192
  • Demkowicz, L. F., Oden, J. T., Rachowicz, W., and Hardy, O., "An hp Taylor-Galerkin Finite Element Method for Compressible Euler Equations"
Computer Methods in Applied Mechanics and Engineering, Vol. 88, No.3, July 1991, 363-396
1990
  • Oden, J. T., Demkowicz, L. F., Rachowicz, W., and Westermann, T., "A Posteriori Error Analysis in Finite Elements: The Element Residual Method for Symmetrizable Problems with Applications to Compressible Euler and Navier-Stokes Equations"
Computer Methods in Applied Mechanics and Engineering, Vol. 82, pp.183- 203, 1990
  • Demkowicz, L. F., Oden, J. T., and Rachowicz, W., "A New Finite Element Method for Solving Compressible Navier-Stokes Equations Based on an Operator Splitting Method and h-p Adaptivity"
Computer Methods in Applied Mechanics and Engineering, Vol. 84, pp. 275-326, 1990
  • Oden, J.T., Demkowicz, L.F., and Bennighof, J., "Fluid-Structure Interaction in Underwater Acoustics"
Applied Mechanics reviews, Vol. 43, No 5, pp.374-380, 1990
  • Demkowicz, L. F., Oden, J. T., Liszka, T., and Rachowicz, W., "h-p Adaptive Finite Element Methods for Compressible and Incompressible Flows"
Computing Systems in Engineering, Vol.1, Nos.2-4, pp.523-534, 1990
1989
  • Demkowicz, L. F., Oden, J. T., and Rachowicz, W., "Toward a Universal h-p Adaptive Finite Element Strategy, Part 1. Constrained Approximation and Data Structure"
Computer Methods in Applied Mechanics and Engineering, Vol. 77, pp.79-112, 1989
  • Oden, J. T., Demkowicz, L. F., Rachowicz, W., and Westermann, T., "Toward a Universal h-p Adaptive Finite Element Strategy, Part 2. A Posteriori Error Estimation"
Computer Methods In Applied Mechanics and Engineering, Vol. 77, pp.113-180, 1989
  • Rachowicz, W., Oden, J. T., and Demkowicz, L. F., "Toward a Universal h-p Adaptive Finite Element Strategy, Part 3. Design of h-p Meshes"
Computer Methods in Applied Mechanics and Engineering, Vol. 77, pp.181- 212, 1989
1988
  • Demkowicz, L. F., and Oden, J. T., "A Review of Local Mesh Refinement Techniques and Corresponding Data Structures in h-Type Adaptive Finite Element Methods"
TICOM Report 88-02, The Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, Texas 78712
1987
  • Szefer, G., Mroz, Z., and Demkowicz, L.F., "Variational Approach to Sensitivity Analysis in Nonlinear Elasticity"
Archives of Mechanics, Vol. 39, No 3, pp..247-259, 1987
  • Demkowicz, L. F., and W. Rachowicz, "On a Characteristic Finite Element Method for Compressible Gas Dynamics"
Journal of Engineering Science, Vol. 25, No.10, pp.1259-1281, 1987
1986
  • Demkowicz, L. F., and Oden, J. T., "An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in One Space Variable"
Journal of Computational Physics, Vol. 68, No.1, pp.188-273, 1986
  • Demkowicz, L. F., and Oden, J. T., "An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in Two Space Variables"
Computer Methods in Applied Mechanics and Engineering, Vol. 55, No 1-2, pp.65-87, 1986
  • Demkowicz, L. F., and Oden, J. T., "On a Mesh Optimization Method Based on a Minimization of Interpolation Error"
International Journal for Engineering Science, Vol. 24, No.1, pp.55-68, 1986
1985
  • Demkowicz, L. F., Stroubolis, T., and Oden, J. T., "A Posteriori Error Estimates for Some Galerkin Space-Time Approximations of the Unsteady Navier-Stokes Equations"
TICOM Report 85-5, The University of Texas at Austin, Austin TX 78712
  • Demkowicz, L. F., and Oden, J. T., "Extraction Methods for Second Derivatives in Finite Element Approximations of Linear Elasticity Problems"
Communications in Applied Numerical Methods, Vol. 1, pp.137-139, 1985
  • Demkowicz, L. F., Oden, J. T., and Devloo, P., "On h-Type Mesh Refinement Strategy Based on a Minimization of Interpolation Error"
Computer Methods in Applied Mechanics and Engineering, Vol. 53, pp.67-89, 1985
1984
  • Szefer, G., and Demkowicz, L. F., "Optimal Design of von Karman Plates"
Journal of Structural Mechanics, Vol. 12, No.1, pp.111-149, 1984
  • Demkowicz, L. F., Karafiat, A., and Liszka, T., "On Some Convergence Results for FDM with Irregular Mesh"
Computer Methods in Applied Mechanics and Engineering, Vol. 42, pp.343-355, 1984
  • Demkowicz, L. F., "Some Remarks on Moving Finite Element Methods"
Computer Methods in Applied Mechanics and Engineering, Vol. 46, pp.339-349, 1984
  • Demkowicz, L. F., Oden, J. T., and Stroubolis, T., "Adaptive Finite Elements for Flow Problems with Moving Boundaries. Part 1: Variational Principles and a Posteriori Estimates"
Computer Methods in Applied Mechanics and Engineering, Vol. 46, pp.217-251, 1984
  • Demkowicz, L. F., Oden, J. T., "On Some Existence and Uniqueness Results in Contact Problems with Non-Local Friction"
Journal of Nonlinear Analysis, Vol. 6, No. 10, pp. 1075-1093
1982
  • Demkowicz, L. F., "On Some Results Concerning the Reciprocal Formulation for the Signorini's Problem"
Computers and Mathematics with Applications, Vol. 8, No.1, pp.57-74,1982
1979
  • Szefer, G., and Demkowicz, L. F., "Optimization of Elastic Plates by Means of Sobolev Space Theory" (in Polish)
Archiwum Inzynierii Ladowej, 1979



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