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- W1633873615 abstract "In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem with dynamic boundary conditions. We present the formulation and prove stability and optimal a priori error estimates for the fully discrete scheme. More precisely, using polynomials of degree $$pge 1$$p?1 on meshes with granularity h along with a backward Euler time-stepping scheme with time-step $$Delta t$$Δt, we prove that the fully-discrete solution is bounded by the data and it converges, in a suitable (mesh-dependent) energy norm, to the exact solution with optimal order $$h^p + Delta t$$hp+Δt. The sharpness of the theoretical estimates are verified through several numerical experiments." @default.
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- W1633873615 date "2015-06-25" @default.
- W1633873615 modified "2023-09-24" @default.
- W1633873615 title "Discontinuous Galerkin Approximation of Linear Parabolic Problems with Dynamic Boundary Conditions" @default.
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- W1633873615 doi "https://doi.org/10.1007/s10915-015-0063-y" @default.
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