Linear and Nonlinear Boundary Conditions for Wave Propagation Problems
2013 (English)In: Recent 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 / [ed] Rainer Ansorge , Hester Bijl , Andreas Meister and Thomas Sonar, Berlin: Springer Berlin/Heidelberg, 2013, 283-299 p.Chapter in book (Other academic)
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.
Place, publisher, year, edition, pages
Berlin: Springer Berlin/Heidelberg, 2013. 283-299 p.
, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, ISSN 1612-2909, EISSN 1860-0824 ; 120
Engineering, Computer science, Differential equations, partial, Numerical analysis, Engineering, general, Partial Differential Equations, Math Applications in Computer Science
IdentifiersURN: urn:nbn:se:liu:diva-84545DOI: 10.1007/978-3-642-33221-0_17ISBN: 978-3-642-33220-3 (print)ISBN: 978-3-642-33221-0 (online)OAI: oai:DiVA.org:liu-84545DiVA: diva2:560187