Recent Publications

Note: Copyrights to the following papers are held by the publishers. The PDF versions provided here are reprints or preprints. Please treat this material in a way consistent with the "fair use" provisions of appropriate copyright laws.

• Melenk J.M., Xenophontos C., & Oberbroeckling L. (2013).
  Analytic regularity for a singular perturbed system of reaction-diffusion equations with multiple scales.
  Advances in Computational Mathematics, Vol. 39, 367-394. doi: 10.1007/s10444-012-9284-x. (PDF)
• Xenophontos C., Melenk J.M., Madden N., Oberbroeckling L., Panaseti P., & Zouvani A. (2013).
  Hp finite element methods for fourth order singularly perturbed boundary value problems.
  Lecture Notes in Computer Science, Vol. 8236, 532 - 539. (PDF)
• Melenk J.M., Xenophontos C., & Oberbroeckling L. (2013).
  Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales.
  IMA Journal of Numerical Analysis, 33, 609-628. doi: 10.1093/imanum/drs013. (Abstract) (Paper)
• Melenk J.M., Xenophontos C., & Oberbroeckling L. (2011).
  Analytic regularity for a singular perturbed system of reaction-diffusion equations with multiple scales: proofs
  posted to arXiv.org (PDF)
• Xenophontos C. & Oberbroeckling L. (2010).
  On the hp finite element approximation of systems of reaction-diffusion equations by p/hp methods.
  Journal of Computational Mathematics Vol. 28, No. 3, 386-400. (PDF)
• Oberbroeckling, L.A. (2008).
  Drazin inverses in Jörgens algebras of bounded linear operators.
  Mathematical Proceedings of the Royal Irish Academy. 108A, 81-87. (PDF)
• Xenophontos C. & Oberbroeckling L. (2007).
  An hp finite element method for singularly perturbed systems of reaction-diffusion equations.
  PAMM - Proc. Appl. Math. Mech. 7, 2020055-2020056 (PDF)
• Xenophontos C. & Oberbroeckling L. (2007).
  A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems.
  Applied Mathematics and Computation Vol 187, 1351 - 1367. (PDF)
• Oberbroeckling L. (2006).
  Generalised inverses in Jörgens algebras of bounded linear operators.
  Mathematical Proceedings of the Royal Irish Academy 106A (1), 85-95. (PDF)

Email: loberbroeckling "at" loyola "dot" edu
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