Hermes2D, a C++ library for rapid development of adaptive hp-FEM and hp-DG solvers

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Abstract

In this paper we describe Hermes2D, an open-source C++ library for the development and implementation of adaptive higher-order finite element and DG solvers for partial differential equations (PDE) and multiphysics coupled PDE problems. The library is suitable for applications ranging from simple linear PDE solvers to time-dependent solvers for nonlinear multiphysics coupled problems with dynamically changing meshes. We cover several typical application scenarios, and give a brief overview of methods and algorithms that the library provides. Numerical examples are provided. © 2014 Elsevier B.V. All rights reserved.

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Solin, P., Korous, L., & Kus, P. (2014). Hermes2D, a C++ library for rapid development of adaptive hp-FEM and hp-DG solvers. Journal of Computational and Applied Mathematics, 270, 152–165. https://doi.org/10.1016/j.cam.2014.02.007

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