Verified computations to semilinear elliptic boundary value problems on arbitrary polygonal domains

Author:

Takayasu Akitoshi12,Liu Xuefeng3,Oishi Shin'ichi14

Affiliation:

1. Faculty of Science and Engineering, Waseda University

2. JSPS Research Fellow

3. Research Institute for Science and Engineering, Waseda University

4. CREST/JST

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Reference29 articles.

1. [1] R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975.

2. [2] D. Braess, Finite Elements, 3rd edition, Cambridge University Press, Cambridge, 2007.

3. [3] H. Brézis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext Series, Springer, 2010.

4. [4] F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, vol. 15 of Springer Series in Computational Mathematics, Springer-Verlag, New York, 1991.

5. [5] C. Geuzaine and J.-F. Remacle, “Gmsh: A 3-d finite element mesh generator with built-in pre- and post-processing facilities,” Int. J. Numer. Meth. Eng., vol. 79, no. 11, pp. 1309-1331, 2009. http://www.geuz.org/gmsh/

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