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Bifurcation analysis of nonlinear reaction-diffusion problems using wavelet-based reduction techniques
2004 (English)In: Computers and Chemical Engineering, ISSN 0098-1354, E-ISSN 0092-1354, Vol. 28, no 4, 557-574 p.Article in journal (Refereed) Published
Abstract [en]

Using a computational method for numerical homogenization, we perform the coarse-scale bifurcation analysis of nonlinear reaction-diffusion problems in both uniform and spatially varying media. The method is based on wavelet decomposition and projection of the differential equation on coarse scale wavelet spaces. The approach is capable of capturing turning points and pitchfork bifurcations of sharp, front-like solutions at the coarse level.

Place, publisher, year, edition, pages
2004. Vol. 28, no 4, 557-574 p.
Keyword [en]
wavelets, numerical homogenization, bifurcation analysis, reaction-diffusion equations, finite-element-method, numerical homogenization, elliptic problems, multiresolution strategy, pattern-formation, coefficients, simulation, media, flow
URN: urn:nbn:se:kth:diva-23202ISI: 000189220500012ScopusID: 2-s2.0-1042301074OAI: diva2:341900
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Runborg, Olof
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