Linear and nonlinear boundary conditions for wave propagation problems

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)


We discuss linear and nonlinear boundary conditions for wave propagation problems. The concepts of well-posedness and stability are discussed by considering a specific example of a boundary condition occurring in the modeling of earthquakes. That boundary condition can be formulated in a linear and nonlinear way and implemented in a characteristic and non-characteristic way. These differences are discussed and the implications and difficulties are pointed out. Numerical simulations that illustrate the theoretical discussion are presented together with an application that show that the methodology can be used for practical problems.

Original languageEnglish
Title of host publicationRecent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws Lectures Presented at a Workshop at the Mathematical Research Institute Oberwolfach, Germany, Jan 15 21, 2012
PublisherSpringer Verlag
Number of pages17
ISBN (Print)9783642332203
Publication statusPublished - 2013
Externally publishedYes

Publication series

NameNotes on Numerical Fluid Mechanics and Multidisciplinary Design
ISSN (Print)1612-2909

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes


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