Diffpack

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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