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.
@article{702701, title = {Wavelet bases for the biharmonic problem}, booktitle = {Programs and Algorithms of Numerical Mathematics}, series = {GDML\_Books}, publisher = {Institute of Mathematics AS CR}, address = {Prague}, year = {2013}, pages = {15-20}, url = {http://dml.mathdoc.fr/item/702701} }
Bímová, Daniela; Černá, Dana; Finěk, Václav. Wavelet bases for the biharmonic problem, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), pp. 15-20. http://gdmltest.u-ga.fr/item/702701/