Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Bause, Markus"'
This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-dependent convection-diffusion equation which is assumed to be convection-do
Externí odkaz:
http://arxiv.org/abs/2407.13418
We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation of the dynamic permeability in the frequency domain to rewrite the eq
Externí odkaz:
http://arxiv.org/abs/2406.01184
Autor:
Bause, Markus, Anselmann, Mathias
The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used
Externí odkaz:
http://arxiv.org/abs/2401.15696
Bayesian optimization (BO) protocol based on Active Learning (AL) principles has garnered significant attention due to its ability to optimize black-box objective functions efficiently. This capability is a prerequisite for guiding autonomous and hig
Externí odkaz:
http://arxiv.org/abs/2401.06106
Autor:
Bause, Markus, Franz, Sebastian
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discontinuous Galerkin space-time finite element methods. The model is rewritten as a first-order evolutionary problem that is treated by the unified abstrac
Externí odkaz:
http://arxiv.org/abs/2311.01264
We present an approach for solving optimal Dirichlet boundary control problems of nonlinear optics by using deep learning. For computing high resolution approximations of the solution to the nonlinear wave model, we propose higher order space-time fi
Externí odkaz:
http://arxiv.org/abs/2307.07292
We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equations. A challenging benchmark setting and goal quantities of physical int
Externí odkaz:
http://arxiv.org/abs/2307.02057
We present families of space-time finite element methods (STFEMs) for a coupled hyperbolic-parabolic system of poro- or thermoelasticity. Well-posedness of the discrete problems is proved. Higher order approximations inheriting most of the rich struc
Externí odkaz:
http://arxiv.org/abs/2303.06742
In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted Residual (DWR) method is developed and studied for a coupled model problem of flow and convection-dominated transport. Key ingredients are a multirate approach ad
Externí odkaz:
http://arxiv.org/abs/2212.02954
We investigate the accurate full broadband simulation of complex nonlinear optical processes. A mathematical model and numerical simulation techniques in the time domain are developed to simulate complex nonlinear optical processes without the usual
Externí odkaz:
http://arxiv.org/abs/2211.06854