Constructing non-reflecting boundary conditions using summation-by-parts in time
DOI10.1016/j.jcp.2016.11.038zbMath1380.65153OpenAlexW2508683986MaRDI QIDQ680194
Hannes Frenander, Jan Nordström
Publication date: 22 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-133853
stabilityaccuracyfinite differencesnonreflecting boundary conditionssimultaneous approximation termssummation by parts
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (2)
Cites Work
- Summation-by-parts in time
- Review of summation-by-parts schemes for initial-boundary-value problems
- The SBP-SAT technique for initial value problems
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Numerical solution of problems on unbounded domains. A review
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- A perfectly matched layer for the absorption of electromagnetic waves
- Summation by parts operators for finite difference approximations of second derivatives
- Discretely nonreflecting boundary conditions for linear hyperbolic systems
- High-order local non-reflecting boundary conditions: a review
- Exact non-reflecting boundary conditions revisited: well-posedness and stability
- Summation-By-Parts in Time: The Second Derivative
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
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