Leszek F. Demkowicz

Personal Home Page

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

Articles in Scholarly Journals [Incomplete List]

  1. 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
  2. High-order finite elements applied to the discrete Boltzmann equation
    International Journal for Numerical Methods in Engineering, vol. 67, no. 8, pp. 1094–1121, 2006
  3. A goal-orientedhp-adaptive finite element method with electromagnetic applications. Part I: electrostatics
    International Journal for Numerical Methods in Engineering, vol. 65, no. 8, pp. 1269–1309, 2006
  4. Discrete Compactness for the hp Version of Rectangular Edge Finite Elements
    SIAM Journal on Numerical Analysis, vol. 44, no. 3, p. 979, 2006
  5. Two-Dimensional High-Accuracy Simulation of Resistivity Logging-While-Drilling (LWD) Measurements Using a Self-Adaptive Goal-Oriented \boldmath$\lowercase{hp}$ Finite Element Method
    SIAM Journal on Applied Mathematics, vol. 66, no. 6, p. 2085, 2006
  6. Nédélec spaces in affine coordinates
    Computers & Mathematics with Applications, vol. 49, no. 7-8, pp. 1285–1294, 2005
  7. Verification of goal-oriented HP-adaptivity
    Computers & Mathematics with Applications, vol. 50, no. 8-9, pp. 1395–1404, 2005
  8. Optimal error estimate of a projection based interpolation for the -version approximation in three dimensions
    Computers & Mathematics with Applications, vol. 50, no. 3-4, pp. 359–366, 2005
  9. A posteriori error estimation for acoustic wave propagation problems
    Archives of Computational Methods in Engineering, vol. 12, no. 4, pp. 343–389, 2005
  10. Quasioptimality of some spectral mixed methods
    Journal of Computational and Applied Mathematics, vol. 167, no. 1, pp. 163–182, 2004
  11. Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations
    SIAM Journal on Numerical Analysis, vol. 42, no. 1, p. 90, 2004
  12. Mathematical Models and Methods in Applied Sciences, vol. 13, no. 11, p. 1673, 2003
  13. p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
    SIAM Journal on Numerical Analysis, vol. 41, no. 4, p. 1195, 2003
  14. Anhp-adaptive finite element method for electromagnetics. Part 3: A three-dimensional infinite element for Maxwell's equations
    International Journal for Numerical Methods in Engineering, vol. 57, no. 7, pp. 899–921, 2003
  15. Anhp-adaptive finite element method for electromagnetics?part II: A 3D implementation
    International Journal for Numerical Methods in Engineering, vol. 53, no. 1, pp. 147–180, 2002
  16. Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
    Numerische Mathematik, vol. 88, no. 1, pp. 43–73, 2001
  17. Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$
    Mathematics of Computation, vol. 70, no. 234, pp. 507–524, 2001
  18. De Rham diagram for hp finite element spaces
    Computers & Mathematics with Applications, vol. 39, no. 7-8, pp. 29–38, 2000
  19. Maxwell eigenvalues and discrete compactness in two dimensions
    Computers & Mathematics with Applications, vol. 40, no. 4-5, pp. 589–605, 2000
  20. Solution of viscoelastic scattering problems in linear acoustics usinghp Boundary/Finite Element Method
    International Journal for Numerical Methods in Engineering, vol. 44, no. 12, pp. 1885–1907, 1999
  21. Convergence of the infinite element methods for the Helmholtz equation in separable domains
    Numerische Mathematik, vol. 79, no. 1, pp. 11–42, 1998
  22. Asymptotic convergence in finite and boundary element methods: part 2: The LBB constant for rigid and elastic scattering problems
    Computers & Mathematics with Applications, vol. 28, no. 6, pp. 93–109, 1994
  23. Asymptotic convergence in finite and boundary element methods: part 1: theoretical results
    Computers & Mathematics with Applications, vol. 27, no. 12, pp. 69–84, 1994
  24. 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
  25. 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
  26. 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
  27. A note on symmetry boundary conditions in finite element methods
    Applied Mathematics Letters, vol. 4, no. 5, pp. 27–30, 1991