Zobrazeno 1 - 10
of 5 672
pro vyhledávání: '"Praetorius, A."'
We propose and analyze a general goal-oriented adaptive strategy for approximating quantities of interest (QoIs) associated with solutions to linear elliptic partial differential equations with random inputs. The QoIs are represented by bounded linea
Externí odkaz:
http://arxiv.org/abs/2406.05028
This chapter provides an overview of state-of-the-art adaptive finite element methods (AFEMs) for the numerical solution of second-order elliptic partial differential equations (PDEs), where the primary focus is on the optimal interplay of local mesh
Externí odkaz:
http://arxiv.org/abs/2404.07126
We propose an adaptive iteratively linearized finite element method (AILFEM) in the context of strongly monotone nonlinear operators in Hilbert spaces. The approach combines adaptive mesh-refinement with an energy-contractive linearization scheme (e.
Externí odkaz:
http://arxiv.org/abs/2401.17778
We consider scalar semilinear elliptic PDEs, where the nonlinearity is strongly monotone, but only locally Lipschitz continuous. To linearize the arising discrete nonlinear problem, we employ a damped Zarantonello iteration, which leads to a linear P
Externí odkaz:
http://arxiv.org/abs/2401.06486
We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest $G(u^\star)$ with a linear goal functional $G$ and the solution $u^\star$ to a general second-order nonsymmetric linear elliptic partial different
Externí odkaz:
http://arxiv.org/abs/2312.00489
The ultimate goal of any numerical scheme for partial differential equations (PDEs) is to compute an approximation of user-prescribed accuracy at quasi-minimal computational time. To this end, algorithmically, the standard adaptive finite element met
Externí odkaz:
http://arxiv.org/abs/2311.15738
The dynamics of active smectic liquid crystals confined on a spherical surface is explored through an active phase field crystal model. Starting from an initially randomly perturbed isotropic phase, several types of topological defects are spontaneou
Externí odkaz:
http://arxiv.org/abs/2311.03836
Autor:
Hardering, Hanne, Praetorius, Simon
We study a higher-order surface finite element (SFEM) penalty-based discretization of the tangential surface Stokes problem. Several discrete formulations are investigated which are equivalent in the continuous setting. The impact of the choice of di
Externí odkaz:
http://arxiv.org/abs/2309.00931
Autor:
Foteini-Stefania Koumpa, Shivani Parihar, Codruta Neumann, Sharon Ovnat Tamir, Hugo Galera Ruiz, Aina Brunet, John E Fenton, George Korres, Mark Praetorius, Rahul G Kanegaonkar
Publikováno v:
Journal of International Advanced Otology, Vol 20, Iss 5, Pp 411-416 (2024)
Background: Ménière’s Disease (MD) is a disease that may be difficult to diagnose and manage. Our UK survey showed variability in the practice of UK Otolaryngology consultants. We hence surveyed Otolaryngology consultants internationally, to asse
Externí odkaz:
https://doaj.org/article/7f5fd607b203481d9d433be0c604cb31
Publikováno v:
Computational and Structural Biotechnology Journal, Vol 23, Iss , Pp 1260-1273 (2024)
Early identification of human pathogens is crucial for the effective treatment of bloodstream infections to prevent sepsis. Since pathogens that are present in small numbers are usually difficult to detect directly, we hypothesize that the behavior o
Externí odkaz:
https://doaj.org/article/6ba1c1a5abbe496a93c4106d7d61201c