John Tinsley Oden

Personal Home Page

http://www.ae.utexas.edu/faculty/members/oden.html

Articles in Scholarly Journals [Incomplete List]

  1. On the application of the Arlequin method to the coupling of particle and continuum models
    Computational Mechanics, 2008
  2. Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method
    Computer Methods in Applied Mechanics and Engineering, 2008
  3. Dynamic data-driven finite element models for laser treatment of cancer
    Numerical Methods for Partial Differential Equations, vol. 23, no. 4, pp. 904–922, 2007
  4. Multi-scale goal-oriented adaptive modeling of random heterogeneous materials
    Mechanics of Materials, vol. 38, no. 8-10, pp. 859–872, 2006
  5. Convergence analysis of a discontinuous finite element formulation based on second order derivatives
    Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 25-28, pp. 3461–3482, 2006
  6. Extensions of goal-oriented error estimation methods to simulations of highly-nonlinear response of shock-loaded elastomer-reinforced structures
    Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 37-40, pp. 4659–4680, 2006
  7. Editorial
    Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 37-40, pp. iii–iv, 2006
  8. MultiScale Modeling of Physical Phenomena: Adaptive Control of Models
    SIAM Journal on Scientific Computing, vol. 28, no. 6, p. 2359, 2006
  9. Error Control for Molecular Statics Problems
    International Journal for Multiscale Computational Engineering, vol. 4, no. 5-6, pp. 647–662, 2006
  10. Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
    Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 2-5, pp. 195–204, 2005
  11. On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models
    Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 34-35, pp. 3668–3688, 2005
  12. A posteriori error estimation for acoustic wave propagation problems
    Archives of Computational Methods in Engineering, vol. 12, no. 4, pp. 343–389, 2005
  13. Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows
    Journal of Mathematical Fluid Mechanics, vol. 6, no. 2, pp. 194–248, 2004
  14. Adaptive modeling of wave propagation in heterogeneous elastic solids
    Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 6-8, pp. 539–559, 2004
  15. Verification and validation in computational engineering and science: basic concepts
    Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 36-38, pp. 4057–4066, 2004
  16. In memoriam to Professor John H. Argyris19 August 1913 ? 2 April 2004
    Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 36-38, pp. 3763–3766, 2004
  17. Research directions in computational mechanics
    Computer Methods in Applied Mechanics and Engineering, vol. 192, no. 7-8, pp. 913–922, 2003
  18. An interpretation of the Navier–Stokes-alpha model as a frame-indifferent Leray regularization
    Physica D: Nonlinear Phenomena, vol. 177, no. 1-4, pp. 23–30, 2003
  19. A posteriori error estimation for a new stabilized discontinuous Galerkin method
    Applied Mathematics Letters, vol. 16, no. 4, pp. 447–452, 2003
  20. A Priori error analyses of a stabilized discontinuous Galerkin method
    Computers & Mathematics with Applications, vol. 46, no. 8-9, pp. 1289–1311, 2003
  21. Mathematical Models and Methods in Applied Sciences, vol. 13, no. 3, p. 323, 2003
  22. Practical methods fora posteriori error estimation in engineering applications
    International Journal for Numerical Methods in Engineering, vol. 56, no. 8, pp. 1193–1224, 2003
  23. Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems
    Numerical Methods for Partial Differential Equations, vol. 20, no. 2, pp. 165–192, 2003
  24. Estimation of Modeling Error in Computational Mechanics
    Journal of Computational Physics, vol. 182, no. 2, pp. 496–515, 2002
  25. Numerical stability and error analysis for the incompressible Navier-Stokes equations
    Communications in Numerical Methods in Engineering, vol. 18, no. 11, pp. 779–787, 2002
  26. Additive Schwarz algorithms for solving hp-version finite element systems on triangular meshes
    Applied Numerical Mathematics, vol. 43, no. 4, pp. 399–421, 2002
  27. Estimation d'erreur a priori pour la version Baumann–Oden de la méthode Galerkin discontinue
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 332, no. 9, pp. 851–856, 2001
  28. Goal-oriented error estimation and adaptivity for the finite element method
    Computers & Mathematics with Applications, vol. 41, no. 5-6, pp. 735–756, 2001
  29. Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materialsPart II: a computational environment for adaptive modeling of heterogeneous elastic solids
    Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 46-47, pp. 6089–6124, 2001
  30. Solution of stochastic partial differential equations using Galerkin finite element techniques
    Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 48, pp. 6359–6372, 2001
  31. Modeling error and adaptivity in nonlinear continuum mechanics
    Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 49-50, pp. 6663–6684, 2001
  32. Functionally graded material: a parametric study on thermal-stress characteristics using the Crank–Nicolson–Galerkin scheme
    Computer Methods in Applied Mechanics and Engineering, vol. 188, no. 1-3, pp. 17–38, 2000
  33. Generalized finite element methods for three-dimensional structural mechanics problems
    Computers & Structures, vol. 77, no. 2, pp. 215–232, 2000
  34. An adaptive-order discontinuous Galerkin method for the solution of the Euler equations of gas dynamics
    International Journal for Numerical Methods in Engineering, vol. 47, no. 1-3, pp. 61–73, 2000
  35. An adaptive-order discontinuous Galerkin method for the solution of the Euler equations of gas dynamics
    International Journal for Numerical Methods in Engineering, vol. 47, no. 13, pp. 61–73, 2000
  36. Estimation of Local Modeling Error and Goal-Oriented Adaptive Modeling of Heterogeneous Materials I. Error Estimates and Adaptive Algorithms
    Journal of Computational Physics, vol. 164, no. 1, pp. 22–47, 2000
  37. New approaches to error estimation and adaptivity for the Stokes and Oseen equations
    International Journal for Numerical Methods in Fluids, vol. 31, no. 1, pp. 3–15, 1999
  38. A discontinuoushp finite element method for the Euler and Navier-Stokes equations
    International Journal for Numerical Methods in Fluids, vol. 31, no. 1, pp. 79–95, 1999
  39. Adaptive hierarchical modeling of heterogeneous structures
    Physica D: Nonlinear Phenomena, vol. 133, no. 1-4, pp. 404–415, 1999
  40. Hierarchical modeling of heterogeneous solids
    Computer Methods in Applied Mechanics and Engineering, vol. 172, no. 1-4, pp. 3–25, 1999
  41. Simplified methods and a posteriori error estimation for the homogenization of representative volume elements (RVE)
    Computer Methods in Applied Mechanics and Engineering, vol. 176, no. 1-4, pp. 265–278, 1999
  42. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
    Computer Methods in Applied Mechanics and Engineering, vol. 176, no. 1-4, pp. 313–331, 1999
  43. A discontinuous finite element method for convection?diffusion problems
    Computer Methods in Applied Mechanics and Engineering, vol. 175, no. 3-4, pp. 311–341, 1999
  44. A discontinuous hp finite element method for diffusion problems: 1-D analysis
    Computers & Mathematics with Applications, vol. 37, no. 9, pp. 103–122, 1999
  45. A posteriori error estimation and error control for finite element approximations of the time-dependent Navier–Stokes equations
    Finite Elements in Analysis and Design, vol. 33, no. 4, pp. 247–262, 1999
  46. Architecture
    Communications of the ACM, vol. 41, no. 11, pp. 36–44, 1998
  47. Investigation of the interactions between the numerical and the modeling errors in the Homogenized Dirichlet Projection Method
    Computer Methods in Applied Mechanics and Engineering, vol. 159, no. 1-2, pp. 79–101, 1998
  48. Erratum to “Analysis and adaptive modeling of highly heterogeneous elastic structures” [Comput. Methods Appl. Mech. Engrg. 148 (1997) 367–391]
    Computer Methods in Applied Mechanics and Engineering, vol. 163, no. 1-4, pp. 395–396, 1998
  49. A new cloud-based hp finite element method
    Computer Methods in Applied Mechanics and Engineering, vol. 153, no. 1-2, pp. 117–126, 1998
  50. Computational micro- and macroscopic models of contact and friction: formulation, approach and applications
    Wear, vol. 220, no. 2, pp. 113–140, 1998
  51. Local and pollution error estimation for Stokesian flows
    International Journal for Numerical Methods in Fluids, vol. 27, no. 1-4, pp. 33–39, 1998
  52. A DiscontinuoushpFinite Element Method for Diffusion Problems
    Journal of Computational Physics, vol. 146, no. 2, pp. 491–519, 1998
  53. Laudatio for Prof. J. Tinsley Oden on the occasion of his 60th birthday
    Computer Methods in Applied Mechanics and Engineering, vol. 149, no. 1-4, pp. 5–8, 1997
  54. An interview of J. Tinsley Oden on some of his personal recollections of research
    Computer Methods in Applied Mechanics and Engineering, vol. 149, no. 1-4, pp. 9–20, 1997
  55. A parallel multifrontal algorithm and its implementation
    Computer Methods in Applied Mechanics and Engineering, vol. 149, no. 1-4, pp. 289–301, 1997
  56. Locking and boundary layer in hierarchical models for thin elastic structures
    Computer Methods in Applied Mechanics and Engineering, vol. 149, no. 1-4, pp. 33–48, 1997
  57. A posteriori error estimator and adaptive procedures for computation of shakedown and limit loads on pressure vessels
    Computer Methods in Applied Mechanics and Engineering, vol. 150, no. 1-4, pp. 155–171, 1997
  58. A posteriori error estimation in finite element analysis
    Computer Methods in Applied Mechanics and Engineering, vol. 142, no. 1-2, pp. 1–88, 1997
  59. Analysis and adaptive modeling of highly heterogeneous elastic structures
    Computer Methods in Applied Mechanics and Engineering, vol. 148, no. 3-4, pp. 367–391, 1997
  60. Computational techniques for adaptive hp finite element methods
    Finite Elements in Analysis and Design, vol. 25, no. 1-2, pp. 27–39, 1997
  61. A Posteriori Error Estimators for the Stokes and Oseen Equations
    SIAM Journal on Numerical Analysis, vol. 34, no. 1, p. 228, 1997
  62. Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
    SIAM Journal on Numerical Analysis, vol. 34, no. 6, p. 2090, 1997
  63. Numerical solution and a posteriori error estimation of exterior acoustics problems by a boundary element method at high wave numbers
    The Journal of the Acoustical Society of America, vol. 100, no. 1, p. 335, 1996
  64. An h-p adaptive method using clouds
    Computer Methods in Applied Mechanics and Engineering, vol. 139, no. 1-4, pp. 237–262, 1996
  65. Hierarchical modeling of heterogeneous bodies
    Computer Methods in Applied Mechanics and Engineering, vol. 138, no. 1-4, pp. 273–298, 1996
  66. MASSIVELY PARALLEL COMPUTATION FOR ACOUSTICAL SCATTERING PROBLEMS USING BOUNDARY ELEMENT METHODS
    Journal of Sound and Vibration, vol. 191, no. 1, pp. 145–165, 1996
  67. H-p clouds—anh-p meshless method
    Numerical Methods for Partial Differential Equations, vol. 12, no. 6, pp. 673–705, 1996
  68. hp-Version discontinuous Galerkin methods for hyperbolic conservation laws
    Computer Methods in Applied Mechanics and Engineering, vol. 133, no. 3-4, pp. 259–286, 1996
  69. Application of hp-adaptive BE/FE methods to elastic scattering
    Computer Methods in Applied Mechanics and Engineering, vol. 133, no. 3-4, pp. 287–317, 1996
  70. A priori error estimations of hp-finite element approximations for hierarchical models of plate- and shell-like structures
    Computer Methods in Applied Mechanics and Engineering, vol. 132, no. 1-2, pp. 135–177, 1996
  71. Adaptive hpq-finite element methods of hierarchical models for plate- and shell-like structures
    Computer Methods in Applied Mechanics and Engineering, vol. 136, no. 3-4, pp. 317–345, 1996
  72. A parallel hp-adaptive discontinuous Galerkin method for hyperbolic conservation laws
    Applied Numerical Mathematics, vol. 20, no. 4, pp. 321–336, 1996
  73. Local and pollution error estimation for finite element approximations of elliptic boundary value problems
    Journal of Computational and Applied Mathematics, vol. 74, no. 1-2, pp. 245–293, 1996
  74. A priori modeling error estimates of hierarchical models for elasticity problems for plate- and shell-like structures
    Mathematical and Computer Modelling, vol. 23, no. 10, pp. 117–133, 1996
  75. A parallel adaptive strategy for hp finite element computations
    Computer Methods in Applied Mechanics and Engineering, vol. 121, no. 1-4, pp. 449–470, 1995
  76. Anhp adaptive strategy for finite element approximations of the Navier-Stokes equations
    International Journal for Numerical Methods in Fluids, vol. 20, no. 8-9, pp. 831–851, 1995
  77. High-Order Taylor-Galerkin Methods for Linear Hyperbolic Systems
    Journal of Computational Physics, vol. 120, no. 2, pp. 206–230, 1995
  78. hp-version discontinuous Galerkin methods for hyperbolic conservation laws: A parallel adaptive strategy
    International Journal for Numerical Methods in Engineering, vol. 38, no. 22, pp. 3889–3908, 1995
  79. Knowledge-based methods and smart algorithms in computational mechanics
    Engineering Fracture Mechanics, vol. 50, no. 5-6, pp. 759–800, 1995
  80. Recent progress on application ofhp-adaptive BE/FE methods to elastic scattering
    International Journal for Numerical Methods in Engineering, vol. 37, no. 17, pp. 2893–2910, 1994
  81. Optimal h-p finite element methods
    Computer Methods in Applied Mechanics and Engineering, vol. 112, no. 1-4, pp. 309–331, 1994
  82. An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
    Computer Methods in Applied Mechanics and Engineering, vol. 111, no. 1-2, pp. 185–202, 1994
  83. A posteriori error estimation of h-p finite element approximations of frictional contact problems
    Computer Methods in Applied Mechanics and Engineering, vol. 113, no. 1-2, pp. 11–45, 1994
  84. GAMMA2D: A multiregion/multiblock, structured/unstructured grid generation package for computational mechanics
    Computers & Structures, vol. 53, no. 2, pp. 375–410, 1994
  85. A posteriori error estimation for h-p approximations in elastostatics
    Applied Numerical Mathematics, vol. 14, no. 1-3, pp. 23–54, 1994
  86. High-order Taylor-Galerkin and adaptive h-p methods for second-order hyperbolic systems: Application to elastodynamics
    Computer Methods in Applied Mechanics and Engineering, vol. 103, no. 1-2, pp. 187–230, 1993
  87. Theory and approximation of quasistatic frictional contact problems
    Computer Methods in Applied Mechanics and Engineering, vol. 106, no. 3, pp. 407–429, 1993
  88. Towards an automated environment in computational mechanics
    Computer Methods in Applied Mechanics and Engineering, vol. 104, no. 1, pp. 87–143, 1993
  89. A posteriori error estimators for second order elliptic systems part 2. An optimal order process for calculating self-equilibrating fluxes
    Computers & Mathematics with Applications, vol. 26, no. 9, pp. 75–87, 1993
  90. A posteriori error estimators for second order elliptic systems: Part 1. Theoretical foundations and a posteriori error analysis
    Computers & Mathematics with Applications, vol. 25, no. 2, pp. 101–113, 1993
  91. Locala posteriori error estimators for variational inequalities
    Numerical Methods for Partial Differential Equations, vol. 9, no. 1, pp. 23–33, 1993
  92. Progress on adaptive hp-finite element methods for the incompressible Navier-Stokes equations
    Computational Mechanics, vol. 11, no. 5-6, pp. 421–432, 1993
  93. A unified approach to a posteriori error estimation using element residual methods
    Numerische Mathematik, vol. 65, no. 1, pp. 23–50, 1993
  94. Variational formulations and hp-boundary element approximations for hypersingular integral equations for Helmholtz exterior boundary-value problems in two dimensions
    International Journal of Engineering Science, vol. 31, no. 4, pp. 649–672, 1993
  95. A priori error estimation of hp-finite element approximations of frictional contact problems with normal compliance
    International Journal of Engineering Science, vol. 31, no. 6, pp. 927–952, 1993
  96. SIAM Journal on Scientific Computing, vol. 14, no. 1, Article ID 0914011, 1993
  97. Tire Modeling by Finite Elements
    Tire Science and Technology, vol. 20, no. 1, p. 33, 1992
  98. A procedure for a posteriori error estimation for h-p finite element methods
    Computer Methods in Applied Mechanics and Engineering, vol. 101, no. 1-3, pp. 73–96, 1992
  99. Solution of elastic scattering problems in linear acoustics using h-p boundary element method
    Computer Methods in Applied Mechanics and Engineering, vol. 101, no. 1-3, pp. 251–282, 1992
  100. Adaptive implicit/explicit finite element methods for axisymmetric viscous turbulent flows with moving boundaries
    Computer Methods in Applied Mechanics and Engineering, vol. 97, no. 2, pp. 245–288, 1992
  101. Adaptive implicit/explicit finite element method for compressible viscous flows
    Computer Methods in Applied Mechanics and Engineering, vol. 95, no. 3, pp. 397–440, 1992
  102. h-p adaptive finite element methods in computational fluid dynamics
    Computer Methods in Applied Mechanics and Engineering, vol. 89, no. 1-3, pp. 11–40, 1991
  103. An h-p Taylor-Galerkin finite element method for compressible Euler equations
    Computer Methods in Applied Mechanics and Engineering, vol. 88, no. 3, pp. 363–396, 1991
  104. Solution of elastic scattering problems in linear acoustics using h-p boundary element methods
    Journal of Computational and Applied Mathematics, vol. 36, no. 1, pp. 29–63, 1991
  105. Adaptive finite element methods for hyperbolic systems with application to transient acoustics
    International Journal for Numerical Methods in Engineering, vol. 32, no. 4, pp. 677–707, 1991
  106. A study of static and kinetic friction
    International Journal of Engineering Science, vol. 28, no. 1, pp. 29–92, 1990
  107. Recent results on smart algorithms and adaptive methods for two- and three-dimensional problems in computational fluid mechanics
    Computers & Structures, vol. 35, no. 4, pp. 381–396, 1990
  108. The best FEM
    Finite Elements in Analysis and Design, vol. 7, no. 2, pp. 103–114, 1990
  109. 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, no. 3, pp. 275–326, 1990
  110. A posteriori error estimation of finite element approximations in fluid mechanics
    Computer Methods in Applied Mechanics and Engineering, vol. 78, no. 2, pp. 201–242, 1990
  111. A posteriori error analysis in finite elements: The element residual metho