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Boundary Conditions for Hyperbolic Systems of Equations on Curved Domains
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- Nordström, Jan (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
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- Wahlsten, Markus (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
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- Nikkar, Samira (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
- (creator_code:org_t)
- Linköping University Electronic Press, 2014
- English 12 s.
- Series: LiTH-MAT-R, 0348-2960 ; 2014:12
- Reports (other academic/artistic)
Abstract
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- Our focus in this paper is on the fundamental system of partial differential equation with boundary conditions (the continuous problem) that all types of numerical methods must respect. First, a constant coefficient hyperbolic system of equations which turns into a variable coefficient system of equations by transforming to a non-cartesian domain is considered. We discuss possible formulations of time-dependent boundary conditions leading to well-posed or strongly well-posed problems. Next, we re-use the previous theoretical derivations for the problem with boundary conditions applied at the wrong position and/or with an incorrect normal (a typical result with a less than perfect mesh generator). Possible error sources are discussed and a crude error estimate is derived.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- hyperbolic system
- initial boundary value problems
- erroneous computational domains
- curved domains
Publication and Content Type
- vet (subject category)
- rap (subject category)
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