Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences

Author:

Griebel Michael

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Reference43 articles.

1. Arandiga, F., Donat, R., Harten, A.: Multiresolution based on weighted averages of the hat function: linear reconstruction. CAM Report 96–25, Dept. of Mathematics, UCLA, 1996.

2. Babenko, K. I.: Approximation by trigonometric polynomials in a certain class of periodic functions of several variables. Dokl. Akad. Nauk SSSR, 132, 982–985, (Russian); 672–765 (English translation), 1960.

3. Balder, R.: Adaptive Verfahren für elliptische und parabolische Differentialgleichungen auf dünnen Gittern. Dissertation, TU München, 1994.

4. Bank, R.E., Dupont, T. F.: An optimal order process for solving elliptic finite element equations. Math. Comp.36, 967–975 (1981).

5. Bastian, P.: Parallelle adaptive Mehrgitterverfahren. Stuttgart: B.G. Teubner 1996.

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