Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Bolten, Matthias"'
We present novel improvements in the context of symbol-based multigrid procedures for solving large block structured linear systems. We study the application of an aggregation-based grid transfer operator that transforms the symbol of a block Toeplit
Externí odkaz:
http://arxiv.org/abs/2403.02139
In this paper, we are concerned with efficiently solving the sequences of regularized linear least squares problems associated with employing Tikhonov-type regularization with regularization operators designed to enforce edge recovery. An optimal reg
Externí odkaz:
http://arxiv.org/abs/2306.11067
Shape optimization with constraints given by partial differential equations (PDE) is a highly developed field of optimization theory. The elegant adjoint formalism allows to compute shape gradients at the computational cost of a further PDE solve. Th
Externí odkaz:
http://arxiv.org/abs/2303.01369
Saddle point problems arise in a variety of applications, e.g., when solving the Stokes equations. They can be formulated such that the system matrix is symmetric, but indefinite, so the variational convergence theory that is usually used to prove mu
Externí odkaz:
http://arxiv.org/abs/2203.05959
The first focus of this paper is the characterization of the spectrum and the singular values of the coefficient matrix stemming from the discretization with space-time grid for a parabolic diffusion problem and from the approximation of distributed
Externí odkaz:
http://arxiv.org/abs/2202.05555
The main focus of this paper is the study of efficient multigrid methods for large linear systems with a particular saddle-point structure. Indeed, when the system matrix is symmetric, but indefinite, the variational convergence theory that is usuall
Externí odkaz:
http://arxiv.org/abs/2107.07945
Autor:
Bolten, Matthias, Hahne, Jan
Waveform-relaxation methods divide systems of differential equations into subsystems and therefore allow for parallelization across the system. Here we present an application for ODE waveform-relaxation methods in the context of spiking neural networ
Externí odkaz:
http://arxiv.org/abs/2105.06404
In the literature, there exist several studies on symbol-based multigrid methods for the solution of linear systems having structured coefficient matrices. In particular, the convergence analysis for such methods has been obtained in an elegant form
Externí odkaz:
http://arxiv.org/abs/2101.06434
Autor:
Haussmann, Norman, Zang, Martin, Mease, Robin, Clemens, Markus, Schmuelling, Benedikt, Bolten, Matthias
The exposure of a human by magneto-quasistatic fields from wireless charging systems is to be determined from magnetic field measurements in near real-time. This requires a fast linear equations solver for the discrete Poisson system of the Co-Simula
Externí odkaz:
http://arxiv.org/abs/2010.12879
Krylov subspace recycling is a powerful tool for solving long series of large, sparse linear systems that change slowly. In PDE constrained shape optimization, these appear naturally, as hundreds or more optimization steps are needed with only small
Externí odkaz:
http://arxiv.org/abs/2010.11447