Maxwell Group

Publications by Immanuel Anjam

Please find links to the preprints and possible errata below.

Journal Articles

1. I. Anjam and D. Pauly, A short note on a weighted Friedrichs inequality, 2019 (Submitted)
   arXiv
2. I. Anjam, A short note on Helmholtz decompositions for bounded domains in R³, Mathematica Scandinavica, 2018 (Accepted)
   arXiv, Notes
3. I. Anjam and D. Pauly, An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations, Computational Methods in Applied Mathematics, 19(2), 311-322, 2019
   arXiv PDF
4. I. Anjam and D. Pauly, Functional a posteriori error control for conforming mixed approximations of coercive problems with lower order terms, Computational Methods in Applied Mathematics, 16(4), 609-631, 2016
   arXiv PDF
5. I. Anjam and J. Valdman, Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements, Applied Mathematics and Computation, 267, 252-263, 2015
   arXiv, MATLAB File Exhange PDF
6. F. Bernal, J.A. Acebrón, and I. Anjam, A stochastic algorithm based on fast marching for automatic capacitance extraction in non-manhattan geometries, SIAM Journal of Imaging Sciences, 7(4), 2657-2674, 2014
   PDF
7. I. Anjam, M. Nokka, and S. Repin, On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm, Russian Journal of Numerical Analysis and Mathematical Modelling, 27(4), 321-338, 2012
   Errata PDF
8. I. Anjam, O. Mali, A. Muzalevsky, P. Neittaanmäki, and S. Repin, A posteriori error estimates for a Maxwell type problem, Russian Journal of Numerical Analysis and Mathematical Modelling, 24(5), 395-408, 2009
   Errata PDF

Research Reports and Other Publications

Research reports whose material exists only in arXiv

• I. Anjam, Functional a posteriori error control for conforming mixed approximations of the reaction-convection-diffusion problem, 2016
  arXiv (This was the logical continuation for paper 5 and inspired paper 6 in Journal Papers.)

Research reports published in report series (and later in a journal)

• I. Anjam and D. Pauly, An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations, Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen, SM-UDE-810, 2016
  PDF (Published later in CMAM, paper 6 in Journal Papers.)
• I. Anjam and D. Pauly, Functional a posteriori error control for conforming mixed approximations of coercive problems with lower order terms, Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen, SM-UDE-792, 2016
  PDF (Published later in CMAM, paper 5 in Journal Papers.)
• I. Anjam and D. Pauly, Functional a posteriori error equalities for conforming mixed approximations of elliptic problems,
  1) Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen, SM-UDE-776, 2014
  2) Reports of the Department of Mathematical Information Technology, University of Jyväskylä, Series B. Scientific Computing, No. B. 2/2014, ISBN 978-951-39-5643-1, ISSN 1456-436X
  PDF (UDE) / PDF (JYU) (This was never published as is, but parts were included in the report directly above.)

PhD Thesis

• I. Anjam, A posteriori error control for Maxwell and elliptic type problems, Jyväskylä Studies in Computing, 190, 2014, ISBN 978-951-39-5730-8, ISSN 1456-5390
  PDF (The Introduction), PDF (Full Thesis), Errata

Errata on other scientist's work

• U. Dudley, A Guide to Elementary Number Theory, MAA Guide #5, 2009
  A nice book with an unfortunate amount of typos and oversights. In many theorems the necessary assumptions are not mentioned, and there is a wrong proof inside as well. I did not manage to contact Dudley directly, and after sending a list of errata to the publisher in late 2017, they stopped communicating with me. It has been almost a year, so I decided to put the list here.
  Errata

Papers Which Never Needed to Be Written, and Are Listed Here Only for Completeness (Proceedings and Book Chapters)

• I. Anjam, O. Mali, P. Neittaanmäki, and S. Repin, A unified approach to measuring accuracy of error indicators, Modeling, Simulation and Optimization for Science and Technology, Computational Methods in Applied Sciences 34, 1-22, Springer, 2014
• I. Anjam, O. Mali, P. Neittaanmäki, and S. Repin, On the reliability of error indication methods for problems with uncertain data, Numerical Mathematics and Advanced Applications 2011, 811-819, Springer, 2013
• I. Anjam, O. Mali, P. Neittaanmäki, and S. Repin, New indicators of approximation errors for problems in continuum mechanics, Proceedings of the V European Conference on Computational Fluid Dynamics (ECCOMAS CFD), Lisbon, Portugal, 2010
• I. Anjam, O. Mali, P. Neittaanmäki, and S. Repin, A new error indicator for the Poisson problem, Proceedings of the 10th Finnish Mechanics Days, 324-330, 2009