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Discontinuous Galerkin finite element methods for time-dependent Hamilton–Jacobi–Bellman equations with Cordes coefficients

Abstract:

We propose and analyse a fully discrete discontinuous Galerkin time-stepping method for parabolic Hamilton–Jacobi–Bellman equations with Cordes coefficients. The method is consistent and unconditionally stable on rather general unstructured meshes and time-partitions. Error bounds for both rough and regular solutions in terms of temporal regularity show that the method is arbitrarily high-order with optimal convergence rates with respect to the mesh size, time-interval length and temporal pol...

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Publication status:
In press
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1007/s00211-015-0741-6

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Springer Berlin Heidelberg Publisher's website
Journal:
Numerische Mathematik Journal website
Publication date:
2015-06-29
DOI:
EISSN:
0945-3245
ISSN:
0029-599X
URN:
uuid:a7988616-7d0a-4e8f-becd-f6b55b8e2c66
Source identifiers:
533935
Local pid:
pubs:533935

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