Completions to Sparse Shape Functions for Triangular and Tetrahedral p-FEM

M. Abramowitz and I. Stegun. Handbook of Mathematical Functions. Dover Publications, 1965.
Google Scholar
G.E. Andrews, R. Askey, and R. Roy. Special Functions. In Encyclopedia of Mathematics and its Applications, volume 71. Cambridge University Press, 1999.
Google Scholar
S. Beuchler and V. Pillwein. Shape functions for tetrahedral p-FEM using integrated Jacobi polynomials. Technical Report 2006-34, SFB F013, JKU Linz, 2006.
Google Scholar
S. Beuchler and J. Schöberl. New shape functions for triangular p-FEM using integrated Jacobi polynomials. Numer. Math., 103:339–366, 2006.
Article MATH MathSciNet Google Scholar
C. Schwab. p− and hp−Finite Element Methods. Theory and Applications in Solid and Fluid Mechanics. Clarendon Press, Oxford, 1998.
MATH Google Scholar
S.J. Sherwin. Hierarchical hp finite elements in hybrid domains. Finite Elem. Anal. Des., 27:109–119, 1997.
Article MATH MathSciNet Google Scholar
S.J. Sherwin and G.E. Karniadakis. A new triangular and tetrahedral basis for high-order finite element methods. Internat. J. Numer. Methods Engrg., 38:3775–3802, 1995.
Article MATH MathSciNet Google Scholar
P. Solin, K. Segeth, and I. Dolezel. Higher-Order Finite Element Methods. Chapman and Hall, 2004.
Google Scholar
F.G. Tricomi. Vorlesungen über Orthogonalreihen. Springer, Berlin, Göttingen and Heidelberg, 1955.
MATH Google Scholar

Download references

Author information

Authors and Affiliations

Institute for Comp. Mathematics, JKU Linz, Altenberger Straße 69, A 4040, Linz, Austria
Sven Beuchler
SFB F013, Altenberger Straße 69, A 4040, Linz, Austria
Veronika Pillwein

Authors

Sven Beuchler
View author publications
You can also search for this author in PubMed Google Scholar
Veronika Pillwein
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Institute of Computational Mathematics, Johannes Kepler University Linz, Altenbergerstr. 69, 4040, Linz, Austria
Ulrich Langer & Walter Zulehner &
Institute of Analysis and Scientific Computing — CMCS, Ecole Polytechnique Fédérale de Lausanne EPFL SB IACS CMCS Bâtiment MA, Station 8, 1015, Lausanne, Switzerland
Marco Discacciati
Department of Applied Physics and Applied Mathematics, Columbia University, 500 W. 120th Street, MC 4701, 10027, New York, NY, USA
David E. Keyes
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1185, USA
Olof B. Widlund

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Beuchler, S., Pillwein, V. (2008). Completions to Sparse Shape Functions for Triangular and Tetrahedral p-FEM. In: Langer, U., Discacciati, M., Keyes, D.E., Widlund, O.B., Zulehner, W. (eds) Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75199-1_55

Download citation

DOI: https://doi.org/10.1007/978-3-540-75199-1_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75198-4
Online ISBN: 978-3-540-75199-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

Publish with us

Policies and ethics

Completions to Sparse Shape Functions for Triangular and Tetrahedral p-FEM

Access this chapter

Preview

References