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Article

Bímová, Daniela ; Černá, Dana ; Finěk, Václav
Wavelet bases for the biharmonic problem. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 15-20
MSC: 35J40, 65N30, 65T60
Keywords:
wavelet basis; adaptive wavelet method; finite element method; biharmonic problem
Summary:
In our contribution, we study different Riesz wavelet bases in Sobolev spaces based on cubic splines satisfying homogeneous Dirichlet boundary conditions of the second order. These bases are consequently applied to the numerical solution of the biharmonic problem and their quantitative properties are compared.
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