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- W3158654509 abstract "Abstract We study monotone P1 finite element methods on unstructured meshes for fully non-linear, degenerately parabolic Isaacs equations with isotropic diffusions arising from stochastic game theory and optimal control and show uniform convergence to the viscosity solution. Elliptic projections are used to manage singular behaviour at the boundary and to treat a violation of the consistency conditions from the framework by Barles and Souganidis by the numerical operators. Boundary conditions may be imposed in the viscosity or in the strong sense, or in a combination thereof. The presented monotone numerical method has well-posed finite dimensional systems, which can be solved efficiently with Howard’s method." @default.
- W3158654509 created "2021-05-10" @default.
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- W3158654509 date "2022-04-01" @default.
- W3158654509 modified "2023-09-27" @default.
- W3158654509 title "Finite Element Methods for Isotropic Isaacs Equations with Viscosity and Strong Dirichlet Boundary Conditions" @default.
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- W3158654509 doi "https://doi.org/10.1007/s00245-022-09860-5" @default.
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