Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions

DOI10.1007/s10915-015-0063-yzbMath1376.65126arXiv1501.04765OpenAlexW1633873615MaRDI QIDQ2398485

Simone Stangalino, Maurizio Grasselli, Marco Verani, Paola Francesca Antonietti

Publication date: 16 August 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04765

zbMATH Keywords

convergenceerror estimatesdiscontinuous Galerkin methodnumerical experimentdynamic boundary conditionslinear parabolic problemsstabiliy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions ⋮ A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions

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