Summary
In these lectures I discuss error analysis techniques for finite element methods for systems of reaction-diffusion equations with applications in dynamical systems theory. The emphasis is on pedagogical aspects and analysis techniques rather than on results. The list of techniques discussed include: analytic semigroup, parabolic smoothing, non-smooth data error estimate, a priori error estimate, a posteriori error estimate, exponential dichotomy, shadowing.
Keywords
- Solution Operator
- Posteriori Error Estimate
- Analytic Semigroup
- Exponential Dichotomy
- Local Lipschitz Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1999 Springer-Verlag Berlin Heidelberg
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Larsson, S. (1999). Numerical Analysis of Semilinear Parabolic Problems. In: Ainsworth, M., Levesley, J., Marletta, M. (eds) The Graduate Student’s Guide to Numerical Analysis ’98. Springer Series in Computational Mathematics, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03972-4_3
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DOI: https://doi.org/10.1007/978-3-662-03972-4_3
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