Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Methods
Keyword(s):
AbstractThis paper discusses a Python interface for the recently published Dune-Fem-DG module which provides highly efficient implementations of the discontinuous Galerkin (DG) method for solving a wide range of nonlinear partial differential equations (PDEs). Although the C++ interfaces of Dune-Fem-DG are highly flexible and customizable, a solid knowledge of C++ is necessary to make use of this powerful tool. With this work, easier user interfaces based on Python and the unified form language are provided to open Dune-Fem-DG for a broader audience. The Python interfaces are demonstrated for both parabolic and first-order hyperbolic PDEs.
2018 ◽
Vol 77
(3)
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pp. 1402-1423
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2014 ◽
Vol 6
(01)
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pp. 135-144
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Keyword(s):
Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
2015 ◽
Vol 45
(7)
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pp. 1041-1060
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2013 ◽
Vol 90
(11)
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pp. 2477-2490
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2012 ◽
Vol 231
(18)
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pp. 5955-5988
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