Anders Holmbom

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Publications

Articles in journals

Gulliksson, M. , Holmbom, A. , Persson, J. & Zhang, Y. (2016). A separating oscillation method of recovering the G-limit in standard and non-standard homogenization problems. Inverse Problems, vol. 32: 2  

Flodén, L. , Holmbom, A. , Olsson Lindberg, M. & Persson, J. (2014). Homogenization of parabolic equations with an arbitrary number of scales in both space and time. Journal of Applied Mathematics, , pp. Art. no. 101685    

Holmbom, A. , Olsson Lindberg, M. , Persson, J. & Flodén, L. (2013). A note on parabolic homogenization with a mismatch between the spatial scales. Abstract and Applied Analysis, , pp. Art. no. 329704    

Flodén, L. , Holmbom, A. , Olsson Lindberg, M. & Persson, J. (2013). Two-scale convergence: Some remarks and extensions. Pure and Applied Mathematics Quarterly, vol. 9: 3, pp. 461-486.  

Flodén, L. , Holmbom, A. & Olsson Lindberg, M. (2012). A strange term in the homogenization of parabolic equations with two spatial and two temporal scales. Journal of Function Spaces and Applications, , pp. Art. no. 643458    

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2011). Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence. Annals of Functional Analysis, vol. 2: 1, pp. 84-99.

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2010). Very weak multiscale convergence. Applied Mathematics Letters, vol. 23: 10, pp. 1170-1173.  

Flodén, L. , Holmbom, A. , Olsson, M. & Svanstedt, N. (2007). Reiterated homogeneization of monotone parabolic problems. Annali dell'Universita di Ferrara, vol. 53: 2, pp. 217-232.  

Holmbom, A. & Silfver, J. (2006). On the convergence of some sequences of oscillating functionals. WSEAS transactions on mathematics, vol. 5: 8, pp. 951-956.

Holmbom, A. , Olsson, M. & Silfver, J. (2006). On the determination of limits for some sequences of functions and differential operators. Canadian Applied Mathematics Quarterly, vol. 14: 3, pp. 299-329.

Holmbom, A. , Silfver, J. , Svanstedt, N. & Wellander, N. (2006). On two-scale convergence and related sequential compactness topics. Applications of Mathematics, vol. 51: 3, pp. 247-262.  

Holmbom, A. , Svanstedt, N. & Wellander, N. (2005). Multi-scale convergence and reiterated homogenization of parabolic problems. Applications of Mathematics, vol. 50: 2, pp. 131-151.

Holmbom, A. & Silfver, J. (2005). On the characterization of effective properties in highly heterogeneous media. IASME transactions / International ASsociation of Mechanical Engineers, vol. 2, pp. 177-179.

Holmbom, A. , Nilsson, L. & Reinisch, G. (1998). Theorie des skis paraboliques. L'Entraineur de ski alpin, vol. 27: sept

Holmbom, A. (1997). Homogenization of parabolic equations : an alternative approach and some corrector type results.. Applications of Mathematics, vol. 42: 5, pp. 321-343.

Holmbom, A. , Persson, L. & Svanstedt, N. (1992). A homogenization procedure for computing effective moduli and micro stresses in elastic composite materials. Composites Part B: Engineering, vol. 2: 4, pp. 249-259.

Chapters in books

Flodén, L. , Holmbom, A. , Jonasson, P. , Olsson Lindberg, M. , Lobkova, T. & Persson, J. (2017). Homogenization of a Hyperbolic-Parabolic Problem with Three Spatial Scales. In Progress in Industrial Mathematics at ECMI 2016. Springer (Mathematics in Industry).

Flodén, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2008). Some remarks on homogenization in perforated domains. In Integral Methods in Science and Engineering : Techniques and Applications. Boston : Birkhäuser Verlag. pp. 89-97.  

Conference papers

Flodén, L. , Holmbom, A. , Jonasson, P. , Lobkova, T. , Olsson Lindberg, M. & Zhang, Y. (2017). A discussion of a homogenization procedure for a degenerate linear hyperbolic-parabolic problem. In AIP Conference Proceedings. (AIP Conference Proceedings)  

Holmbom, A. & Lobkova, T. (2016). Homogenization of a hyperbolic-parabolic problem in a perforated domain. Paper presented at the 19th European Conference on Mathematics for Industry, Santiago de Compostela, Spain, June 13-17, 2006.  

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2009). A myriad shades of green. In Proceedings of Bridges 2009, Banff, Alberta, Canada.

Flodén, L. , Holmbom, A. , Olsson, M. & Persson, J. (2009). On the determination of effective properties of certain structures with non-periodic temporal oscillations. In MATHMOD 2009 - 6th Vienna International Conference on Mathematical Modelling. Wien : (Argesim Report). pp. 2627--2630.

Flodén, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2006). A model for the heat transfer between steel edge and running base in alpine racing skis. In WSEAS transactions on heat and mass transfer.,ISSN 1790-5044.. pp. 256--261.

Holmbom, A. & Silfver, J. (2006). On a convergence result for sequences of functions with multiple scales. In Proceedings of the 9th WSEAS international conference on applied mathematics, Istanbul. Turkey.. Aten :

Flodén, L. , Holmbom, A. , Olsson, M. , Silfver, J. & Catrakis, R. J. (2006). On a heat transfer problem related to alpine ski racing. In Proceedings of the WSEAS HEAT '06, FLUID '06 : Elounda, Agios Nikolaos, Crete Island, Greece, August 21 - 23, 2006 ; 4th IASME/WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment, 4th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics: CD-rom. Elounda, Greece :

Flodén, L. , Holmbom, A. , Olsson, M. , Silfver, J. & Troch, I. (2006). On some convergemce results and their relation to the impact of impurities on effective heat conduction properties. In Proceedings / 5th MATHMOD Vienna : February 8 - 10, 2006, Vienna University of Technology, Austria. Wien : (ARGESIM report)

Flodén, L. , Holmbom, A. , Olsson, M. & Silfver, J. (2006). On the convergence and determination of limits for some sequences of differential operators : Presented at The Ninth International Conference on Integral Methods in Science and Engineering, Niagara Falls, Ontario, Canada, July 23-27 2006.

Holmbom, A. , Svanstedt, N. & Wellander, N. (2005). Asymptotic analysis of parabolic problems with multiple time and spatial scales. In Proceedings of the Conference on Applied Mathematics and Scientific Computing, 4th, June 19-24 Brijuni Island, Croatia.

Holmbom, A. , Silfver, J. & Lazakidou, A. (2005). On the characterization of effective properties in highly heterogeneous media (Proc.). In Proceedings of the WSEAS HEAT '06, FLUID '06 : Elounda, Agios Nikolaos, Crete Island, Greece, August 21 - 23, 2006 ; 4th IASME/WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment, 4th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics Elounda, Greece, 2006. Elounda, Greece, : (Proceedings of the IASME/WSEAS international conferences)

Holmbom, A. & Silfver, J. (2005). On the characterization of G-limits by means of some generalized two-scale techniques : Paper presented at the 26th Midwest-Pacific Differential Equations Conference, October 15-17, 2005, University of Alberta Edmonton, Alberta, Canada.

Holmbom, A. & Silfver, J. (2005). On the convergence of some pairs of weakly convergent sequences : Presented at the Applmath05 Fourth conference on applied mathematics and scientific computing June 19-24 Brijuni Island, Croatia.

Holmbom, A. (1997). A model for non-linear nonstationary heat conduction in composites with many small nonperiodic perforations. In Proceedings of International Conference on Composites Engineering ICCE/4 : 6-12/7, 1997, Hawaii, USA.. pp. 435--344.

Holmbom, A. (1996). A Darcy law for quasi-periodic porous media and optimal design of composite materials. In Proceedings of international Conference on Composites Engineering ICCE/3 : 21-25/7 -96, New Orleans, LA, USA.. pp. 363--364.

Holmbom, A. (1994). On homogenization theory and its application to optimal micro-design of composite materials. In Proceedings of International Conference on Composites Engineering ICCE/1 : New Orleans, LA, USA, Aug 28-31, 1994.. pp. 749--750.

Holmbom, A. (1992). On homogenization applied to Stokes flow in porous media. A brief discussion of geometrical modelling and possible applications. In Proceedings of the Industrial Mathematics Week : Trondheim August 1992, Department of Mathematical Sciences, NTH.. pp. 152--159.

Doctoral theses, monographs

Holmbom, A. (1996). Some modes of convergence and their application to homogenization and optimal composites design. Dis. Luleå : Luleå tekniska högskola, 1996 (Doctoral thesis / Tekniska högskolan i Luleå : 208D)

Licentiate theses, monographs

Holmbom, A. (1993). Homogenization applied to some problems in mechanics. Lic. Luleå : Luleå Tekniska högskola, 1993 (Licentiatuppsats / Tekniska högskolan i Luleå : 1993:01L)

Reports

Holmbom, A. , Silfver, J. , Svanstedt, N. & Wellander, N. (2003). On the relationship between some weak compactnesses with different numbers of scales. (Preprint/ Chalmers Finite Element Center Chalmers University of Technology Gothenburg 25).

Holmbom, A. (1995). Homogenization in various kinds of quasi-periodic domains. Östersund : Mitthögskolan (Rapport / Mitthögskolan 1995:30).

Holmbom, A. (1995). On homogenization and correctors for elliptic equations with mixed boundary conditions in periodic domains. Östersund : Mitthögskolan (Rapport / Mitthögskolan 1995:12).

Holmbom, A. (1994). On homogenization theory and its application to optimal micro-design of composite materials. Mitthögskolan (Rapport / Mitthögskolan 1994:14).

Holmbom, A. (1994). The concept of parabolic two-scale convergence, a new compactness result and its application to homogenization of evolution partial differential equations. Östersund : Mitthögskolan (Rapport / Mitthögskolan 1994:18).