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On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs

Research output: Journal contributions › Journal articles › Research › peer-review

Authors

We consider a general quasilinear model problem of second order in divergence form on a Lipschitz domain, where the latter is divided arbitrarily in finitely many Lipschitz subdomains. Regarding this decomposition, several transmission problems, being equivalent to the model problem in a weak sense, are constructed. Thereby, no regularity assumption on the solution beyond H 1 is necessary. Furthermore, we do not need additional smoothness conditions on the boundaries of the subdomains and decompositions with crosspoints are admissible.
Original languageEnglish
JournalNumerical Functional Analysis and Optimization
Volume31
Issue number5
Pages (from-to)596-615
Number of pages20
DOIs
Publication statusPublished - 05.2010
Externally publishedYes

    Research areas

  • Mathematics - Nonoverlaping domain decomposition method (DDM), Quasilinear PDE, Transmission problem, AMS Subject Classification

Other publications by the same author(s)

Didactics of Mathematics in Higher Education as a Scientific Discipline - Conference Proceedings

Göller, R. (Editor), Biehler, R., Hochmuth, R. K. & Rück, H.-G., 2017, Kassel: Kompetenzentrum Hochschuldidaktik Mathematik - Universität Kassel. 509 p. (khdm-Report; vol. 2017, no. 05)

Research output: Books and anthologies › Conference proceedings › Research

Mathematik im Ingenieurwissenschaftsstudium – Ansätze zu einer fachbezogenen Kompetenzmodellierung

Hochmuth, R. K. & Schreiber, S., 2014, TeachING-LearnING.EU Tagungsband: movING Forward; Engineering Education from vision to mission. Tekkaya, A. E., Jeschke, S. & Petermann, M. (eds.). Technische Universität Dortmund, p. 68-76 9 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

Mit Werkzeugen Mathematik und Stochastik lernen

Wassong, T., Frischemeier, D., Fischer, P. R., Hochmuth, R. & Bender, P., 2014, Wiesbaden: Springer Spektrum. 497 p.

Research output: Books and anthologies › Book

Vorstellung eines Fragebogens zur Erfassung von Lernstrategien in mathematikhaltigen Studiengängen.

Liebendörfer, M., Hochmuth, R. K., Schreiber, S., Göller, R., Kolter, J., Biehler, R., Kortemeyer, J. & Ostsieker, L., 2014, Beiträge zum Mathematikunterricht 2014: Beiträge zur 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 10. bis 14. März 2014 in Koblenz. Roth, J. & Ames, J. (eds.). WTM - Verlag für wissenschaftliche Texte und Medien, Vol. 2. p. 739-742 4 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research

Blended-Learning Brückenkurs Mathematik für Wirtschaftswissenschaftler.

Goguadze, G. & Hochmuth, R., 25.11.2013, Mathematik im Übergang Schule / Hochschule und im ersten Studienjahr: Extended Abstracts zur 2. khdm-Arbeitstagung. Hoppenbrock, A., Schreiber, S., Göller, R., Biehler, R., Büchler, B., Hochmuth, R. & Rück, H.-G. (eds.). Universitätsbibliothek Kassel, Vol. khdm-Report 13-01. p. 63-64 2 p. (KHDM-Report; vol. 13, no. 01).

Research output: Contributions to collected editions/works › Other › Research

DOI

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