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dc.contributor.authorRossi, Tuomo
dc.contributor.authorRäbinä, Jukka
dc.contributor.authorMönkölä, Sanna
dc.contributor.authorKiiskinen, Sampsa
dc.contributor.authorLohi, Jonni
dc.contributor.authorKettunen, Lauri
dc.contributor.editorVermolen, Fred J.
dc.contributor.editorVuik, Cornelis
dc.date.accessioned2021-11-01T07:48:25Z
dc.date.available2021-11-01T07:48:25Z
dc.date.issued2021
dc.identifier.citationRossi, T., Räbinä, J., Mönkölä, S., Kiiskinen, S., Lohi, J., & Kettunen, L. (2021). Systematisation of Systems Solving Physics Boundary Value Problems. In F. J. Vermolen, & C. Vuik (Eds.), <i>Numerical Mathematics and Advanced Applications ENUMATH 2019 : European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4</i> (pp. 35-51). Springer. Lecture Notes in Computational Science and Engineering, 139. <a href="https://doi.org/10.1007/978-3-030-55874-1_3" target="_blank">https://doi.org/10.1007/978-3-030-55874-1_3</a>
dc.identifier.otherCONVID_68790791
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/78432
dc.description.abstractA general conservation law that defines a class of physical field theories is constructed. First, the notion of a general field is introduced as a formal sum of differential forms on a Minkowski manifold. By the action principle the conservation law is defined for such a general field. By construction, particular field notions of physics, e.g., magnetic flux, electric field strength, stress, strain etc. become instances of the general field. Hence, the differential equations that constitute physical field theories become also instances of the general conservation law. The general field and the general conservation law together correspond to a large class of relativistic hyperbolic physical field models. The parabolic and elliptic models can thereafter be derived by adding constraints. The approach creates solid foundations for developing software systems for scientific computing; the unifying structure shared by the class of field models makes it possible to implement software systems which are not restricted to certain predefined problems. The versatility of the proposed approach is demonstrated by numerical experiments with moving and deforming domains.en
dc.format.extent1252
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNumerical Mathematics and Advanced Applications ENUMATH 2019 : European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4
dc.relation.ispartofseriesLecture Notes in Computational Science and Engineering
dc.rightsIn Copyright
dc.subject.othernumerical mathematics
dc.titleSystematisation of Systems Solving Physics Boundary Value Problems
dc.typeconferenceObject
dc.identifier.urnURN:NBN:fi:jyu-202111015459
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/ConferencePaper
dc.relation.isbn978-3-030-55873-4
dc.type.coarhttp://purl.org/coar/resource_type/c_5794
dc.description.reviewstatuspeerReviewed
dc.format.pagerange35-51
dc.relation.issn1439-7358
dc.type.versionacceptedVersion
dc.rights.copyright© Springer Nature Switzerland AG 2021
dc.rights.accesslevelopenAccessfi
dc.relation.conferenceEuropean Conference on Numerical Mathematics and Advanced Applications
dc.subject.ysodifferentiaaliyhtälöt
dc.subject.ysonumeeriset menetelmät
dc.subject.ysofysiikka
dc.subject.ysolaskennallinen tiede
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p3552
jyx.subject.urihttp://www.yso.fi/onto/yso/p6588
jyx.subject.urihttp://www.yso.fi/onto/yso/p900
jyx.subject.urihttp://www.yso.fi/onto/yso/p21978
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/978-3-030-55874-1_3
dc.type.okmA4


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