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Finding Stationary Solutions of PDEs with Constraints using Damped Dynamical Systems
School of Science and Technology, Örebro University, Örebro, Sweden..
Örebro University, School of Science and Technology, Örebro University, Sweden.ORCID iD: 0000-0002-8730-7392
Örebro University, School of Science and Technology, Örebro University, Sweden. (matematik)ORCID iD: 0000-0002-2630-7479
Örebro University, School of Science and Technology, Örebro University, Sweden.
2016 (English)In: Comsol Conference 2016, 2016Conference paper (Refereed)
Abstract [en]

The dynamical functional particle method(DFPM) is a method for solving equations, e.g. PDEs, using a second order damped dynamical system. We show how the method can be extended to include constraints both explicitly as global constraints and adding the constraints as additional damped dynamical equations. These methods are implemented in Comsol and we show numerical tests for finding the stationary solution of a nonlinear heat equation with and without constraints (global and dynamical). The results show that DFPM is a very general and robust way of solving PDEs and it should be of interest to implement the approach more generally in Comsol.

Place, publisher, year, edition, pages
2016.
Keyword [en]
PDE, constraints, dynamical system
National Category
Computational Mathematics
Research subject
Mathematics; Physics
Identifiers
URN: urn:nbn:se:oru:diva-53278OAI: oai:DiVA.org:oru-53278DiVA: diva2:1040025
Conference
Comsol Conference 2016, Münich, Germany, October 12-14 2016
Projects
Metoder för att lösa ekvationer med andra ordningens dämpade dynamiska system
Available from: 2016-10-26 Created: 2016-10-26 Last updated: 2016-10-26Bibliographically approved

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fulltext(1033 kB)18 downloads
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Sandin, PatrikÖgren, MagnusGulliksson, Mårten
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School of Science and Technology, Örebro University, Sweden
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