Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Altmann, Robert"'
We study the construction and convergence of decoupling multistep schemes of higher order using the backward differentiation formulae for an elliptic-parabolic problem, which includes multiple-network poroelasticity as a special case. These schemes w
Externí odkaz:
http://arxiv.org/abs/2407.18594
For the iterative decoupling of elliptic-parabolic problems such as poroelasticity, we introduce time discretization schemes up to order $5$ based on the backward differentiation formulae. Its analysis combines techniques known from fixed-point itera
Externí odkaz:
http://arxiv.org/abs/2311.14400
Autor:
Altmann, Robert, Zimmer, Christoph
This paper is concerned with adaptive mesh refinement strategies for the spatial discretization of parabolic problems with dynamic boundary conditions. This includes the characterization of inf-sup stable discretization schemes for a stationary model
Externí odkaz:
http://arxiv.org/abs/2302.02893
Autor:
Altmann, Robert
This paper introduces novel bulk-surface splitting schemes of first and second order for the wave equation with kinetic and acoustic boundary conditions of semi-linear type. For kinetic boundary conditions, we propose a reinterpretation of the system
Externí odkaz:
http://arxiv.org/abs/2112.04321
This paper addresses the numerical solution of nonlinear eigenvector problems such as the Gross-Pitaevskii and Kohn-Sham equation arising in computational physics and chemistry. These problems characterize critical points of energy minimization probl
Externí odkaz:
http://arxiv.org/abs/2108.09831
This paper studies bulk-surface splitting methods of first order for (semi-linear) parabolic partial differential equations with dynamic boundary conditions. The proposed Lie splitting scheme is based on a reformulation of the problem as a coupled pa
Externí odkaz:
http://arxiv.org/abs/2108.08147
Autor:
Altmann, Robert, Maier, Roland
We analyze a semi-explicit time discretization scheme of first order for poro\-elasticity with nonlinear permeability provided that the elasticity model and the flow equation are only weakly coupled. The approach leads to a decoupling of the equation
Externí odkaz:
http://arxiv.org/abs/2104.10092
Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type
Autor:
Altmann, Robert, Zimmer, Christoph
We consider constrained partial differential equations of hyperbolic type with a small parameter $\varepsilon>0$, which turn parabolic in the limit case, i.e., for $\varepsilon=0$. The well-posedness of the resulting systems is discussed and the corr
Externí odkaz:
http://arxiv.org/abs/2102.03177
We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We propose a port-Hamiltonian formulation of the system equations, which is
Externí odkaz:
http://arxiv.org/abs/2012.01949
Autor:
Altmann, Robert, Herzog, Roland
This paper studies a new class of integration schemes for the numerical solution of semi-explicit differential-algebraic equations of differentiation index 2 in Hessenberg form. Our schemes provide the flexibility to choose different discretizations
Externí odkaz:
http://arxiv.org/abs/2011.09336