Research Group of Prof. Dr. S. Beuchler
Institute for Numerical Simulation
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Publications of Prof. Dr. Sven Beuchler:

[1] S. Beuchler and K. Hofer. Additive schwarz solvers for hp-fem discretizations of pde-constrained optimzation problems. Technical report, INS, 2016. also avaiable as INS-Preprint 1625.
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[2] S. Beuchler, K. Hofer, D. Wachsmuth, and J.-E. Wurst. Boundary concentrated finite elements for optimal control problems with distributed observation. Comput. Optim. Appl., 62(1):31-65, 2015.
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[3] S. Beuchler. Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions. In Advanced finite element methods and applications, volume 66 of Lect. Notes Appl. Comput. Mech., pages 91-108. Springer, Heidelberg, 2013. also avaiable as INS Preprint 1107.
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[4] S. Beuchler, V. Pillwein, and S. Zaglmayr. Fast summation techniques for sparse shape functions in tetrahedral hp-FEM. In Domain decomposition methods in science and engineering XX, volume 91 of Lect. Notes Comput. Sci. Eng., pages 511-518. Springer, Heidelberg, 2013.
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[5] S. Beuchler, V. Pillwein, and S. Zaglmayr. Sparsity optimized high order finite element functions for H(curl) on tetrahedra. Adv. in Appl. Math., 50(5):749-769, 2013.
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[6] S. Beuchler, C. Pechstein, and D. Wachsmuth. Boundary concentrated finite elements for optimal boundary control problems of elliptic pdes. Computational Optimization and Applications, 51(2):883-908, 2012.
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[7] S. Beuchler, V. Pillwein, J. Schöberl, and S. Zaglmayr. Sparsity optimized high order finite element functions on simplices. In Numerical and symbolic scientific computing, Texts Monogr. Symbol. Comput., pages 21-44. SpringerWienNewYork, Vienna, 2012.
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[8] S. Beuchler, V. Pillwein, and S. Zaglmayr. Sparsity optimized high order finite element functions for h(div) on simplices. Numerische Mathematik, 122(2):197-225, 2012. avaiable online.
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[9] S. Beuchler and M. Purrucker. Schwarz type solvers for hp-FEM discretizations of mixed problems. Comput. Methods Appl. Math., 12(4):369-390, 2012. also avaiable as INS-Preprint 1108.
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[10] S. Beuchler. Wavelet solvers for hp-FEM discretizations in 3D using hexahedral elements. Comput. Methods Appl. Mech. Engrg., 198(13-14):1138-1148, 2009.
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[11] S. Beuchler, T. Eibner, and U. Langer. Primal and dual interface concentrated iterative substructuring methods. SIAM J. Numer. Anal., 46(6):2818-2842, 2008.
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[12] S. Beuchler and V. Pillwein. Completions to sparse shape functions for triangular and tetrahedral p-fem. In U. Langer, M. Discacciati, D. Keyes, O. Widlund, and W. Zulehner, editors, Domain Decomposition Methods in Science and Engineering XVII, volume 60 of Lecture Notes in Computational Science and Engineering, pages 435-442, Heidelberg, 2008. Springer. Proceedings of the 17th International Conference on Domain Decomposition Methods held at St. Wolfgang / Strobl, Austria, July 3-7, 2006.
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[13] S. Beuchler and S. Nepomnyaschikh. Overlapping additiv Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients. J. Num. Math., 15(4):245-276, 2007.
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[14] S. Beuchler and S. Nepomnyaschikh. Overlapping additive schwarz preconditioners for elliptic problems with degenerate locally anisotropic coefficients. SIAM J. Num. Anal., 45(6):2321-2344, 2007.
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[15] S. Beuchler and V. Pillwein. Shape functions for tetrahedral p-fem using integrated Jacobi polynomials. Computing, 80:345-375, 2007.
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[16] S. Beuchler and D. Braess. Improvements for some condition number estimates in p-fem. Num. Lin. Alg. Appl., 13(7):573-588, 2006.
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[17] S. Beuchler and J. Schöberl. New shape functions for triangular p-FEM using integrated Jacobi polynomials. Numer. Math., 103(3):339-366, 2006.
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[18] S. Beuchler. A domain decomposition preconditioner for p-FEM discretizations of two-dimensional elliptic problems. Computing, 74(4):299-317, 2005.
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[19] S. Beuchler. Extension operators on tensor product structures in two and three dimensions. SIAM J. Sci. Comput., 26(5):1776-1795, 2005.
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[20] S. Beuchler and J. Schöberl. Optimal extensions on tensor-product meshes. Appl. Numer. Math., 54(3-4):391-405, 2005.
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[21] S. Beuchler. Multilevel solvers for a finite element discretization of a degenerate problem. SIAM J. Numer. Anal., 42(3):1342-1356, 2004.
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[22] S. Beuchler, R. Schneider, and C. Schwab. Multiresolution weighted norm equivalences and applications. Numer. Math., 98(1):67-97, 2004.
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[23] S. Beuchler. AMLI preconditioner for the p-version of the FEM. Num. Lin. Alg. Appl., 10(8):721-732, 2003.
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[24] S. Beuchler. Multigrid solver for the inner problem in domain decomposition methods for P-FEM. SIAM J. Numer. Anal., 40(3):928-944 (electronic), 2002.
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