Zobrazeno 1 - 10
of 141 000
pro vyhledávání: '"Schwarz, A. P."'
This paper presents and evaluates a framework for the coupling of subdomain-local projection-based reduced order models (PROMs) using the Schwarz alternating method following a domain decomposition (DD) of the spatial domain on which a given problem
Externí odkaz:
http://arxiv.org/abs/2410.04668
Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondly, %as applications of these results, we obtain several new multidimen
Externí odkaz:
http://arxiv.org/abs/2409.10091
Autor:
Klawonn, Axel, Lanser, Martin
Nonlinear domain decomposition methods became popular in recent years since they can improve the nonlinear convergence behavior of Newton's method significantly for many complex problems. In this article, a nonlinear two-level Schwarz approach is con
Externí odkaz:
http://arxiv.org/abs/2409.03041
This paper presents and evaluates an approach for coupling together subdomain-local reduced order models (ROMs) constructed via non-intrusive operator inference (OpInf) with each other and with subdomain-local full order models (FOMs), following a do
Externí odkaz:
http://arxiv.org/abs/2409.01433
In this work, we develop a novel hybrid Schwarz method, termed as edge multiscale space based hybrid Schwarz (EMs-HS), for solving the Helmholtz problem with large wavenumbers. The problem is discretized using $H^1$-conforming nodal finite element me
Externí odkaz:
http://arxiv.org/abs/2408.08198
The two-level overlapping additive Schwarz method offers a robust and scalable preconditioner for various linear systems resulting from elliptic problems. One of the key to these properties is the construction of the coarse space used to solve a glob
Externí odkaz:
http://arxiv.org/abs/2408.08187
In this work, we propose and analyze two two-level hybrid Schwarz preconditioners for solving the Helmholtz equation with high wave number in two and three dimensions. Both preconditioners are defined over a set of overlapping subdomains, with each p
Externí odkaz:
http://arxiv.org/abs/2408.07669
We introduce a non-overlapping, Schwarz-type domain decomposition method employing a generalized interface condition, tailored for physics-informed machine learning of partial differential equations (PDEs) in both forward and inverse scenarios. Our m
Externí odkaz:
http://arxiv.org/abs/2409.13644
We present and analyze a two-level restricted additive Schwarz (RAS) preconditioner for heterogeneous Helmholtz problems, based on a multiscale spectral generalized finite element method (MS-GFEM) proposed in [C. Ma, C. Alber, and R. Scheichl, SIAM.
Externí odkaz:
http://arxiv.org/abs/2409.06533
Autor:
Sutti, Marco, Vanzan, Tommaso
We consider the leapfrog algorithm by Noakes for computing geodesics on Riemannian manifolds. The main idea behind this algorithm is to subdivide the original endpoint geodesic problem into several local problems, for which the endpoint geodesic prob
Externí odkaz:
http://arxiv.org/abs/2409.01023