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 95 articles , 1 standard article )

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  1. Zhang, Shuhai; Oskay, Caglar: Variational multiscale enrichment method with mixed boundary conditions for elasto-viscoplastic problems (2015)
  2. Oskay, Caglar: Variational multiscale enrichment method with mixed boundary conditions for modeling diffusion and deformation problems (2013)
  3. Prechtel, Marina; Leugering, Günter; Steinmann, Paul; Stingl, Michael: Optimal design of brittle composite materials: a nonsmooth approach (2012)
  4. Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola: Scientific computing. Exercises and solved problems with MATLAB and Octave. (2012)
  5. Heister, Timo: A massively parallel finite element framework with application to incompressible flows (2011)
  6. Liseikin, V.D.; Rychkov, A.D.; Kofanov, A.V.: Applications of a comprehensive grid method to solution of three-dimensional boundary value problems (2011)
  7. Stull, Christopher J.; Nichols, Jonathan M.; Earls, Christopher J.: Stochastic inverse identification of geometric imperfections in shell structures (2011)
  8. Oskay, Caglar; Haney, Mark: Computational modeling of titanium structures subjected to thermo-chemo-mechanical environment (2010)
  9. Aquino, W.; Brigham, J.C.; Earls, C.J.; Sukumar, N.: Generalized finite element method using proper orthogonal decomposition (2009)
  10. Celledoni, Elena; Kvamsdal, Trond: Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium (2009)
  11. Di Pietro, Daniele Antonio; Veneziani, Alessandro: Expression templates implementation of continuous and discontinuous Galerkin methods (2009)
  12. Jakusšev, Alexander; Čiegis, Raimondas; Laukaitytė, Inga; Trofimov, Vyacheslav: Parallelization of linear algebra algorithms using ParSol library of mathematical objects (2009)
  13. Klöfkorn, Robert: Numerics for evolution equations. A general interface based design concept. (2009)
  14. Laukaitytė, Inga; Čiegis, Raimondas; Lichtner, Mark; Radziunas, Mindaugas: Parallel numerical algorithm for the traveling wave model (2009)
  15. 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)
  16. Veneroni, Marco: Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field (2009)
  17. Čiegis, R.; Radziunas, M.; Lichtner, M.: Numerical algorithms for simulation of multisection lasers by using traveling wave model (2008)
  18. Ølgaard, Kristian B.; Logg, Anders; Wells, Garth N.: Automated code generation for discontinuous Galerkin methods (2008)
  19. Wallevik, Jon Elvar: Minimizing end-effects in the coaxial cylinders viscometer: viscoplastic flow inside the ConTec BML Viscometer 3 (2008)
  20. Wang, Tong; Pan, Tsorng-whay; Glowinski, Roland: A comparison of $L^2$-projection and $H^1$-projection methods for the numerical simulation of incompressible viscous fluid flow: a case study (2008)

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