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Second order splitting for a class of fourth order equations
- Publication Year :
- 2017
-
Abstract
- We formulate a well-posedness and approximation theory for a class of generalised saddle point problems. In this way we develop an approach to a class of fourth order elliptic partial differential equations using the idea of splitting into coupled second order equations. Our main motivation is to treat certain fourth order equations on closed surfaces arising in the modelling of biomembranes but the approach may be applied more generally. In particular we are interested in equations with non-smooth right-hand sides and operators which have non-trivial kernels. The theory for well-posedness and approximation is presented in an abstract setting. Several examples are described together with some numerical experiments.
- Subjects :
- Class (set theory)
Approximation theory
Algebra and Number Theory
Applied Mathematics
Second order equation
65N30, 65J10, 35J35
Numerical Analysis (math.NA)
010103 numerical & computational mathematics
01 natural sciences
010101 applied mathematics
Computational Mathematics
Fourth order
Elliptic partial differential equation
Saddle point
FOS: Mathematics
Order (group theory)
Applied mathematics
Mathematics - Numerical Analysis
0101 mathematics
QA
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00255718
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e28ef20689a43fe455ee3063b470344d