A second-order bulk–surface splitting for parabolic problems with dynamic boundary conditions
R Altmann, C Zimmer - IMA Journal of Numerical Analysis, 2024 - academic.oup.com
This paper introduces a novel approach for the construction of bulk–surface splitting
schemes for semilinear parabolic partial differential equations with dynamic boundary …
schemes for semilinear parabolic partial differential equations with dynamic boundary …
A posteriori error estimation for parabolic problems with dynamic boundary conditions
R Altmann, C Zimmer - arXiv preprint arXiv:2302.02893, 2023 - arxiv.org
This paper is concerned with adaptive mesh refinement strategies for the spatial
discretization of parabolic problems with dynamic boundary conditions. This includes the …
discretization of parabolic problems with dynamic boundary conditions. This includes the …
Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is
proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it …
proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it …
[PDF][PDF] COST Action 18232 Mathematical Models for Interacting Dynamics on Networks WG 5: Numerical Methods and Applications–White Paper–
Many physical, biological, chemical, financial, and social phenomena can be described by
dynamical systems and frequently the dynamics are coupled in a networked structure. The …
dynamical systems and frequently the dynamics are coupled in a networked structure. The …