Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Sogn, Jarle"'
We consider a PDE-constrained optimization problem of tracking type with parabolic state equation. The solution to the problem is characterized by the Karush-Kuhn-Tucker (KKT) system, which we formulate using a strong variational formulation of the s
Externí odkaz:
http://arxiv.org/abs/2407.17964
The recently introduced Physics-Informed Neural Networks (PINNs) have popularized least squares formulations of both forward and inverse problems involving partial differential equations (PDEs) in strong form. We employ both Isogeometric Analysis and
Externí odkaz:
http://arxiv.org/abs/2312.03496
Autor:
Sogn, Jarle, Takacs, Stefan
We consider the linearized elasticity equation, discretized with multi-patch Isogeometric Analysis. A standard discretization error analysis is based on Korn's inequality, which degrades for certain geometries, such as long and thin cantilevers. This
Externí odkaz:
http://arxiv.org/abs/2305.04975
Autor:
Sogn, Jarle, Takacs, Stefan
We are interested in a fast solver for the Stokes equations, discretized with multi-patch Isogeometric Analysis. In the last years, several inf-sup stable discretizations for the Stokes problem have been proposed, often the analysis was restricted to
Externí odkaz:
http://arxiv.org/abs/2202.13707
Autor:
Sogn, Jarle, Takacs, Stefan
We develop a multigrid solver for the second biharmonic problem in the context of Isogeometric Analysis (IgA), where we also allow a zero-order term. In a previous paper, the authors have developed an analysis for the first biharmonic problem based o
Externí odkaz:
http://arxiv.org/abs/2112.12559
Autor:
Sogn, Jarle, Takacs, Stefan
We are interested in a fast solver for linear systems obtained by discretizing the Stokes problem with multi-patch Isogeometric Analysis. We use Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods. In resent years, IETI-DPand relat
Externí odkaz:
http://arxiv.org/abs/2112.12163
Autor:
Sogn, Jarle, Takacs, Stefan
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 January 2024 418 Part A
In this paper we analyze an optimization problem with limited observation governed by a convection--diffusion--reaction equation. Motivated by a Schur complement approach, we arrive at continuous norms that enable analysis of well-posedness and subse
Externí odkaz:
http://arxiv.org/abs/2012.13003
In this paper we consider multiple saddle point problems with block tridiagonal Hessian in a Hilbert space setting. Well-posedness and the related issue of preconditioning are discussed. We give a characterization of all block structured norms which
Externí odkaz:
http://arxiv.org/abs/1912.09995
This paper is concerned with robust preconditioning of wave equations constrained linear inverse problems from boundary observation data. The main result of this paper is a concept for regularization parameter robust preconditioning. Analogous concep
Externí odkaz:
http://arxiv.org/abs/1905.13490