As modern programming methodologies migrate from computer science to scientific computing, developers of numerical software are faced with new possibilities and challenges. Based on experiences from an ongoing project that develops C++ software for the solution of partial differential equations, this article has its focus on object-oriented design of iterative solvers for linear systems of equations. Special attention is paid to possible conflicts that have to be resolved in order to achieve a very flexible, yet efficient, code.

References in zbMATH (referenced in 102 articles , 1 standard article )

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  1. Chandrashekar, Praveen; Roy, Souvik; Vasudeva Murthy, A.S.: A variational approach to estimate incompressible fluid flows (2017)
  2. Stoll, Martin; Pearson, John W.; Maini, Philip K.: Fast solvers for optimal control problems from pattern formation (2016)
  3. Zhang, Shuhai; Oskay, Caglar: Variational multiscale enrichment method with mixed boundary conditions for elasto-viscoplastic problems (2015)
  4. Oskay, Caglar: Variational multiscale enrichment method with mixed boundary conditions for modeling diffusion and deformation problems (2013)
  5. Filippone, Salvatore; Buttari, Alfredo: Object-oriented techniques for sparse matrix computations in Fortran 2003 (2012)
  6. Kronbichler, Martin; Kormann, Katharina: A generic interface for parallel cell-based finite element operator application (2012)
  7. Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael: Optimal design of brittle composite materials: a nonsmooth approach (2012)
  8. Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola: Scientific computing. Exercises and solved problems with MATLAB and Octave. (2012)
  9. Heister, Timo: A massively parallel finite element framework with application to incompressible flows (2011)
  10. Liseikin, V.D.; Rychkov, A.D.; Kofanov, A.V.: Applications of a comprehensive grid method to solution of three-dimensional boundary value problems (2011)
  11. Stull, Christopher J.; Nichols, Jonathan M.; Earls, Christopher J.: Stochastic inverse identification of geometric imperfections in shell structures (2011)
  12. Alnæs, Martin Sandve; Mardal, Kent-André: On the efficiency of symbolic computations combined with code generation for finite element methods (2010)
  13. Oskay, Caglar; Haney, Mark: Computational modeling of titanium structures subjected to thermo-chemo-mechanical environment (2010)
  14. Aquino, W.; Brigham, J.C.; Earls, C.J.; Sukumar, N.: Generalized finite element method using proper orthogonal decomposition (2009)
  15. Celledoni, Elena; Kvamsdal, Trond: Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium (2009)
  16. Di Pietro, Daniele Antonio; Veneziani, Alessandro: Expression templates implementation of continuous and discontinuous Galerkin methods (2009)
  17. Jakusšev, Alexander; Čiegis, Raimondas; Laukaitytė, Inga; Trofimov, Vyacheslav: Parallelization of linear algebra algorithms using ParSol library of mathematical objects (2009)
  18. Klöfkorn, Robert: Numerics for evolution equations. A general interface based design concept. (2009)
  19. Laukaitytė, Inga; Čiegis, Raimondas; Lichtner, Mark; Radziunas, Mindaugas: Parallel numerical algorithm for the traveling wave model (2009)
  20. Tveito, Aslak; Lines, Glenn T.: A note on a method for determining advantageous properties of an anti-arrhythmic drug based on a mathematical model of cardiac cells (2009)

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