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Convergence of a Second-Order Linearized BDF–IPDG for Nonlinear Parabolic Equations with Discontinuous Coefficients

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We study the anti-symmetric interior over-penalized discontinuous Galerkin finite element methods for solving nonlinear parabolic interface problems with second-order backward difference formula for the time discretization, where the diffusion coefficient… Click to show full abstract

We study the anti-symmetric interior over-penalized discontinuous Galerkin finite element methods for solving nonlinear parabolic interface problems with second-order backward difference formula for the time discretization, where the diffusion coefficient depends on the unknown solution and is discontinuous across the interface. We present optimal-order error estimates for the finite element solution based on piecewise regularity of the solution.

Keywords: order; second order; nonlinear parabolic; convergence second; order linearized; linearized bdf

Journal Title: Journal of Scientific Computing
Year Published: 2017

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