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检索条件"机构=Scientific Computing and Numerical Analysis"
124 条 记 录,以下是81-90 订阅
排序:
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms
arXiv
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arXiv 2017年
作者: Egger, Herbert Pietschmann, Jan-Frederik Schlottbom, Matthias Ag Numerical Analysis and Scientific Computing Department of Mathematics Tu Darmstadt Dolivostr. 15 Darmstadt64293 Munster Einsteinstr. 62 MunsterD 48149 Department of Applied Mathematics University of Twente P.O. Box 217 AE Enschede7500
We consider the identification of nonlinear diffusion coeficients of the form a(t;u) or a(u) in quasi-linear parabolic and elliptic equations. Uniqueness for this inverse problem is established under very general assu... 详细信息
来源: 评论
A POSTERIORI ERROR ESTIMATION AND ADAPTIVITY FOR MULTIPLE-NETWORK POROELASTICITY
arXiv
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arXiv 2021年
作者: Eliseussen, Emilie Rognes, Marie E. Thompson, Travis B. Institute of Basal Medical Sciences University of Oslo Oslo Norway Department of Scientific Computing and Numerical Analysis Simula Research Laboratory Oslo Norway Department of Mathematics University of Bergen Bergen Norway Department of Mathematics and Statistics Texas Tech University LubbockTX United States
The multiple-network poroelasticity (MPET) equations describe deformation and pressures in an elastic medium permeated by interacting fluid networks. In this paper, we (i) place these equations in the theoretical cont... 详细信息
来源: 评论
On reference solutions and the sensitivity of the 2D Kelvin–Helmholtz instability problem
arXiv
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arXiv 2018年
作者: Schroeder, Philipp W. John, Volker Lederer, Philip L. Lehrenfeld, Christoph Lube, Gert Schöberl, Joachim Institute for Numerical and Applied Mathematics Georg-August-Universität Göttingen Göttingen37083 Germany Weierstrass Institute for Applied Analysis and Stochastics Berlin10117 Germany Department of Mathematics and Computer Science Freie Universität Berlin Berlin14195 Germany Institute for Analysis and Scientific Computing TU Wien 1040 Wien Austria
Two-dimensional Kelvin–Helmholtz instability problems are popular examples for assessing discretizations for incompressible flows at high Reynolds number. Unfortunately, the results in the literature differ considera... 详细信息
来源: 评论
A PARALLEL RANK-ADAPTIVE INTEGRATOR FOR DYNAMICAL LOW-RANK APPROXIMATION
arXiv
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arXiv 2023年
作者: Ceruti, Gianluca Kusch, Jonas Lubich, Christian Institute of Mathematics EPF Lausanne Lausanne1015 Switzerland Numerical Analysis and Scientific Computing Universität Innsbruck Technikerstraße 13 Innsbruck6020 Austria Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 Tübingen72076 Germany
This work introduces a parallel and rank-adaptive matrix integrator for dynamical low-rank approximation. The method is related to the previously proposed rank-adaptive basis update & Galerkin (BUG) integrator but... 详细信息
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A DISCONTINUOUS GALERKIN METHOD FOR THE EXTRACELLULAR MEMBRANE INTRACELLULAR MODEL
arXiv
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arXiv 2024年
作者: Masri, Rami Kirk, Keegan L.A. Hauge, Eirill Kuchta, Miroslav Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo0164 Norway Division of Applied Mathematics Brown University ProvidenceRI02906 United States Department of Mathematical Sciences Center for Mathematics and Artificial Intelligence George Mason University FairfaxVA22030 United States
We formulate and analyze interior penalty discontinuous Galerkin methods for coupled elliptic PDEs modeling excitable tissue, represented by intracellular and extracellular domains sharing a common interface. The PDEs... 详细信息
来源: 评论
Brain solute transport is more rapid in periarterial than perivenous spaces
Research Square
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Research Square 2021年
作者: Vinje, Vegard Bakker, Erik Nicolaas Theodorus Petrus Rognes, Marie E. Department of Scientific Computing and Numerical Analysis Simula Research Laboratory Martin Linges vei 25 Fornebu 1364 Norway Amsterdam University Medical Center Dept. of Biomedical Engineering and Physics Meibergdreef 9 Amsterdam1105 AZ Netherlands University of Bergen Department of Mathematics Bergen Norway
Background: Perivascular fluid flow, of cerebrospinal or interstitial fluid in spaces surrounding brain blood vessels, is recognized as a key component underlying brain transport and clearance. An important open quest... 详细信息
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Efficient implementation of adaptive P1-FEM in Matlab
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Computational Methods in Applied Mathematics 2011年 第4期11卷 460-490页
作者: Funken, Stefan Praetorius, Dirk Wissgott, Philipp Institute for Numerical Mathematics University of Ulm Helmholtzstraße 18 D-89069 Ulm Germany Institute for Analysis and Scientific Computing Vienna University of Technology Wiedner Hauptstraße 8-10 A-1040 Wien Austria Institute for Solid State Physics Vienna University of Technology Wiedner Hauptstraße 8-10 A-1040 Wien Austria
We provide a MATLAB package p1afem for an adaptive P1-finite element method (AFEM). This includes functions for the assembly of the data, different error estimators, and an indicator-based adaptive mesh-refining algor... 详细信息
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A polynomial-degree-robust a posteriori error estimator for nédélec discretizations of magnetostatic problems
arXiv
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arXiv 2020年
作者: Gedicke, Joscha Geevers, Sjoerd Perugia, Ilaria Schöberl, Joachim Institute for Numerical Simulation University of Bonn Endenicher Allee 19b Bonn53115 Germany Faculty of Mathematics University of Vienna Oskar-Morgenstern-Platz 1 Vienna1090 Austria Institute for Analysis and Scientific Computing Vienna University of Technology Wiedner Hauptstrasse 8-10 Vienna1040 Austria
We present an equilibration-based a posteriori error estimator for Nédélec element discretizations of the magnetostatic problem. The estimator is obtained by adding a gradient correction to the estimator for... 详细信息
来源: 评论
ON THE IMPROVED CONVERGENCE OF LIFTED DISTRIBUTIONAL GAUSS CURVATURE FROM REGGE ELEMENTS
arXiv
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arXiv 2024年
作者: Gopalakrishnan, Jay Neunteufel, Michael Schöberl, Joachim Wardetzky, Max Portland State University PO Box 751 PortlandOR97201 United States Institute of Analysis and Scientific Computing TU Wien Wiedner Hauptstr. 8-10 Wien1040 Austria Institute of Numerical and Applied Mathematics University of Göttingen Lotzestr. 16-18 Göttingen37083 Germany
Although Regge finite element functions are not continuous, useful generalizations of nonlinear derivatives like the curvature, can be defined using them. This paper is devoted to studying the convergence of the finit... 详细信息
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GENERALIZING RIEMANN CURVATURE TO REGGE METRICS
arXiv
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arXiv 2023年
作者: Gopalakrishnan, Jay Neunteufel, Michael Schöberl, Joachim Wardetzky, Max Portland State University PO Box 751 PortlandOR97201 United States Institute for Analysis and Scientific Computing TU Wien Wiedner Hauptstr. 8-10 Wien1040 Austria Institute of Numerical and Applied Mathematics University of Göttingen Lotzestr. 16-18 Göttingen37083 Germany
In this paper we propose a generalization of the Riemann curvature tensor on manifolds (of dimension two or higher) endowed with a Regge metric. Specifically, while all components of the metric tensor are assumed to b... 详细信息
来源: 评论