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检索条件"机构=Scientific Computing and Numerical Analysis"
123 条 记 录,以下是31-40 订阅
排序:
PROXIMAL GALERKIN: A STRUCTURE-PRESERVING FINITE ELEMENT METHOD FOR POINTWISE BOUND CONSTRAINTS
arXiv
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arXiv 2023年
作者: Keith, Brendan Surowiec, Thomas M. Division of Applied Mathematics Brown University ProvidenceRI02912 United States Simula Research Laboratory Department of Numerical Analysis and Scientific Computing Kris-tian Augusts gate 23 Oslo0164 Norway
The proximal Galerkin finite element method is a high-order, low iteration complexity, nonlinear numerical method that preserves the geometric and algebraic structure of pointwise bound constraints in infinite-dimensi... 详细信息
来源: 评论
Achieving High Accuracy with PINNs via Energy Natural Gradient Descent
arXiv
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arXiv 2023年
作者: Müller, Johannes Zeinhofer, Marius Max Planck Institute for Mathematics in the Sciences Inselstraße 22 Leipzig04103 Germany Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Kristian Augusts Gate 23 Oslo0164 Norway
We propose energy natural gradient descent, a natural gradient method with respect to a Hessian-induced Riemannian metric as an optimization algorithm for physics-informed neural networks (PINNs) and the deep Ritz met... 详细信息
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On The Importance of Fundamental Computational Fluid Dynamics Towards a Robust and Reliable Model of Left Atrial Flows: Is There More Than Meets the Eye?
arXiv
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arXiv 2023年
作者: Khalili, Ehsan Daversin-Catty, Cécile Olivares, Andy L. Mill, Jordi Camara, Oscar Valen-Sendstad, Kristian Department of Computational Physiology Simula Research Laboratory Oslo Norway Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway Department of Information and Communication Technologies Universitat Pompeu Fabra Barcelona Spain
Computational fluid dynamics (CFD) studies of left atrial flows have reached a sophisticated level, e.g., revealing plausible relationships between hemodynamics and stresses with atrial fibrillation. However, little f... 详细信息
来源: 评论
The directional flow generated by peristalsis in perivascular networks – theoretical and numerical reduced-order descriptions
arXiv
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arXiv 2023年
作者: Gjerde, Ingeborg G. Rognes, Marie E. Sánchez, Antonio L. Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Kristian Augusts gate 23 Oslo0164 Norway Department of Mechanical and Aerospace Engineering University of California San Diego La Jolla United States
Directional fluid flow in perivascular spaces surrounding cerebral arteries is hypothesized to play a key role in brain solute transport and clearance. While various drivers for pulsatile flow, such as cardiac or resp... 详细信息
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MEDICAL IMAGE REGISTRATION USING OPTIMAL CONTROL OF A LINEAR HYPERBOLIC TRANSPORT EQUATION WITH A DG DISCRETIZATION
arXiv
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arXiv 2023年
作者: Zapf, Bastian Haubner, Johannes Baumgärtner, Lukas Schmidt, Stephan Expert Analytics AS Oslo Norway Department of Mathematics University of Oslo Oslo Norway Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway Institute of Mathematics and Scientific Computing University of Graz Austria Institut of Mathematics Humboldt University of Berlin Berlin10099 Germany Department of Mathematics University of Trier Trier54296 Germany
Patient specific brain mesh generation from MRI can be a time consuming task and require manual corrections, e.g., for meshing the ventricular system or defining subdomains. To address this issue, we consider an image... 详细信息
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Risk-averse optimal control of random elliptic variational inequalities
arXiv
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arXiv 2022年
作者: Alphonse, Amal Geiersbach, Caroline Hintermüller, Michael Surowiec, Thomas M. Weierstrass Institute Mohrenstrasse 39 Berlin10117 Germany Department of Scientific Computing and Numerical Analysis Simula Research Laboratory Kristian Augusts gate 23 Oslo0164 Norway
We consider a risk-averse optimal control problem governed by an elliptic variational inequality (VI) subject to random inputs. By deriving KKT-type optimality conditions for a penalised and smoothed problem and study... 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
SMART: Spatial Modeling Algorithms for Reactions and Transport
arXiv
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arXiv 2023年
作者: Laughlin, Justin G. Dokken, Jørgen S. Finsberg, Henrik N.T. Francis, Emmet A. Lee, Christopher T. Rognes, Marie E. Rangamani, Padmini Department of Mechanical and Aerospace Engineering University of California La Jolla San DiegoCA United States Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway Department of Computational Physiology Simula Research Laboratory Oslo Norway
Recent advances in microscopy and 3D reconstruction methods have allowed for characterization of cellular morphology in unprecedented detail, including the irregular geometries of intracellular subcompartments such as... 详细信息
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THE LATENT VARIABLE PROXIMAL POINT ALGORITHM FOR VARIATIONAL PROBLEMS WITH INEQUALITY CONSTRAINTS
arXiv
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arXiv 2025年
作者: Dokken, Jørgen S. Farrell, Patrick E. Keith, Brendan Papadopoulos, Ioannis P.A. Surowiec, Thomas M. Department of Scientific Computing and Numerical Analysis Simula Research Laboratory Oslo Norway Mathematical Institute University of Oxford Oxford United Kingdom Mathematical Institute Faculty of Mathematics and Physics Charles University Prague Czech Republic Division of Applied Mathematics Brown University ProvidenceRI United States Weierstrass Institute Berlin Germany
The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a saddle point reformulation of the Breg... 详细信息
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PARAMETER-ROBUST PRECONDITIONER FOR STOKES-DARCY COUPLED PROBLEM WITH LAGRANGE MULTIPLIER
arXiv
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arXiv 2025年
作者: Hu, Xiaozhe Kuchta, Miroslav Mardal, Kent-Andre Wang, Xue Department of Mathematics Tufts University MedfordMA02155 United States Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo0164 Norway Simula Research Laboratory Oslo0164 Norway Department of Mathematics University of Oslo Blindern Oslo0316 Norway School of Mathematics Shandong University Jinan250100 China
In this paper, we propose a parameter-robust preconditioner for the coupled Stokes-Darcy problem equipped with various boundary conditions, enforcing the mass conservation at the interface via a Lagrange multiplier. W... 详细信息
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