Institut für Analysis
Dr. Marius Bochniak
Diplom- und Doktorarbeit :
- Partielle Integraloperatoren, Diplomarbeit, Universität Kaiserslautern, 1995.
- Analytische und numerische Behandlung von Spannungssingularitäten in elastischen Strukturen, Doktorarbeit, Universität Stuttgart,
2000.
Artikel in referierten Zeitschriften :
- Sensitivity analysis of stress intensity factors by generalized J-integrals, Math. Meth. Appl. Sci. 21 (1998) pp. 1343-1363 (mit K. Ohtsuka).
- Local solvability and regularity results for a class of semilinear elliptic problems in nonsmooth domains, Math. Bohem. 124 (1999) pp. 245-254
(mit A.-M. Sändig).
- Computation of generalized stress intensity factors for bonded elastic materials, Math. Model. Numer. Anal. 33 (1999) pp. 853-878 (mit A.-M.
Sändig).
- Sensitivity analysis of elastic structures in presence of stress singularities, Arch. Mech. 51 (1999) pp. 155-171 (mit A.-M. Sändig).
- Sensitivity analysis of stress intensity factors in 2d coupled elastic structures, Asymp. Anal. 25 (2001) pp. 299-328 (mit A.-M. Sändig).
- Domain sensitivity analysis of the acoustic far-field pattern, Math. Meth. Appl. Sci. 25 (2002) pp. 595-613 (mit F. Cakoni).
- Quasilinear elliptic systems of second order in domains with corners and edges, ZAA 21 (2002) pp. 57-90 (mit F. Ali Mehmeti, S. Nicaise, A.-M.
Sändig).
- Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles, J. Math. Anal. Appl. 272 (2002) pp.
318-334 (mit F. Cakoni).
- Linear elliptic boundary value problems in varying domains, Math. Nachr. 250 (2003) pp. 17-24.
- Dirichlet problem for linear elliptic equations degenerating near a conical boundary point, Analysis 23 (2003) pp. 225-248 (mit M. Borsuk).
- The dual singular function method for 2D boundary integral equations, Adv. Comp. Math. 20 (2004) pp. 293-310.
Konferenz- und Buchbeiträge :
- Computation of stress intensity factors for 2D harmonic and elastic fields, Proceedings of the 6th International Conference ''Numerical Methods
in Continuum Mechanics'', 1996, pp. 251-255 (mit M. Maischak, A.-M. Sändig).
- Computation of the coefficients in the asymptotics of solutions for 2D elastic interface problems. In: M. Bach, C. Constanda, G.C. Hsiao, A.-M.
Sändig and P. Werner (eds.), Analysis, Numerics and Applications of Differential and Integral Equations, Pitman Research Notes in Mathematics
No. 379, Addison Wesley Ltd, Harlow, 1998, pp. 31-35.
- Sensitivity analysis for elastic fields in nonsmooth domains, In: M. Bonnet, A.-M. Sändig, W.L. Wendland (eds.), Mathematical Aspects of
Boundary Element Methods, CRC Press LLC, 1999, pp. 66-77 (mit A.-M. Sändig).
- Domain sensitivity analysis for acoustic scattering problems, In: Bermudez et al. (eds.) Proceedings of the Fifth International Conference on
Mathematical and Numerical Aspects of Wave Propagation, SIAM, Philadelphia, 2000, pp. 450-454 (mit F. Cakoni).
- Sensitivity analysis of interface cracks, In: F. Ali Mehmeti, J. von Below, S. Nicaise (eds.) Partial Differential Equations on Multistructures,
Marcel Dekker, 2001, pp. 37-48 (mit A.-M. Sändig).
- Domain sensitivity analysis of the elastic far-field patterns, In: I.D. Abrahams, P.A. Martin, M.J. Simon (eds.) IUTAM Symposium on Diffraction
and Scattering in Fluid Mechanics and Elasticity, Kluwer, 2003, pp. 217--225 (mit F. Cakoni).