Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Drzisga, Daniel"'
Matrix-free techniques play an increasingly important role in large-scale simulations. Schur complement techniques and massively parallel multigrid solvers for second-order elliptic partial differential equations can significantly benefit from reduce
Externí odkaz:
http://arxiv.org/abs/2210.15280
Due to its significance in terms of wave phenomena a considerable effort has been put into the design of preconditioners for the Helmholtz equation. One option to derive a preconditioner is to apply a multigrid method on a shifted operator. In such a
Externí odkaz:
http://arxiv.org/abs/2104.01439
Autor:
Agullo, Emmanuel, Altenbernd, Mirco, Anzt, Hartwig, Bautista-Gomez, Leonardo, Benacchio, Tommaso, Bonaventura, Luca, Bungartz, Hans-Joachim, Chatterjee, Sanjay, Ciorba, Florina M., DeBardeleben, Nathan, Drzisga, Daniel, Eibl, Sebastian, Engelmann, Christian, Gansterer, Wilfried N., Giraud, Luc, Goeddeke, Dominik, Heisig, Marco, Jezequel, Fabienne, Kohl, Nils, Li, Xiaoye Sherry, Lion, Romain, Mehl, Miriam, Mycek, Paul, Obersteiner, Michael, Quintana-Orti, Enrique S., Rizzi, Francesco, Ruede, Ulrich, Schulz, Martin, Fung, Fred, Speck, Robert, Stals, Linda, Teranishi, Keita, Thibault, Samuel, Thoennes, Dominik, Wagner, Andreas, Wohlmuth, Barbara
This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by all the authors. Naive versions of conventional resilience techniques w
Externí odkaz:
http://arxiv.org/abs/2010.13342
Publikováno v:
Comput. Methods Appl. Mech. Engrg., 372:113322 (2020)
The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in Galerkin methods via element-scale quadrature formulas. In this paper, the methodology is applied to a number of m
Externí odkaz:
http://arxiv.org/abs/2004.05197
Publikováno v:
MethodsX, 7:100813 (2020)
A reference implementation of a new method in isogeometric analysis (IGA) is presented. It delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed by element-scale quadrature. To g
Externí odkaz:
http://arxiv.org/abs/1909.04029
Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data formats due to the significantly reduced memory consumption. Here, we show that they are also competitive with respect
Externí odkaz:
http://arxiv.org/abs/1908.08666
Publikováno v:
Comput. Methods Appl. Mech. Engrg., 361:112776 (2020)
A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed from element-scale quadrature formulas. To g
Externí odkaz:
http://arxiv.org/abs/1904.06971
Publikováno v:
SIAM J. Sci. Comput. 41(6):A3806-A3838 (2019)
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the
Externí odkaz:
http://arxiv.org/abs/1902.07333
In this article, a new generic higher-order finite-element framework for massively parallel simulations is presented. The modular software architecture is carefully designed to exploit the resources of modern and future supercomputers. Combining an u
Externí odkaz:
http://arxiv.org/abs/1805.10167
Autor:
Bauer, Simon, Drzisga, Daniel, Mohr, Marcus, Ruede, Ulrich, Waluga, Christian, Wohlmuth, Barbara
We present a novel approach to fast on-the-fly low order finite element assembly for scalar elliptic partial differential equations of Darcy type with variable coefficients optimized for matrix-free implementations. Our approach introduces a new oper
Externí odkaz:
http://arxiv.org/abs/1709.06793