Yuesheng Xu
Yuesheng Xu
The aim of this expository paper is to explain to graduate students and beginning researchers in the field of mathematics, statistics and engineering the fundamental concept of sparse machine learning in Banach spaces. In particular, we use...
Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods [0.03%]
基于Runge-Kutta间断Galerkin方法的血液流动简化模型比较
Charles Puelz,Sunčica Čanić,Béatrice Rivière et al.
Charles Puelz et al.
One-dimensional blood flow models take the general form of nonlinear hyperbolic systems but differ in their formulation. One class of models considers the physically conserved quantities of mass and momentum, while another class describes m...
Simultaneous optical flow and source estimation: Space-time discretization and preconditioning [0.03%]
同时的光学流和源估计：时空离散化和预处理
R Andreev,O Scherzer,W Zulehner
R Andreev
We consider the simultaneous estimation of an optical flow field and an illumination source term in a movie sequence. The particular optical flow equation is obtained by assuming that the image intensity is a conserved quantity up to possib...
Finite element solution of nonlinear eddy current problems with periodic excitation and its industrial applications [0.03%]
具有周期激励的非线性涡流问题的有限元解及其工业应用
Oszkár Bíró,Gergely Koczka,Kurt Preis
Oszkár Bíró
An efficient finite element method to take account of the nonlinearity of the magnetic materials when analyzing three-dimensional eddy current problems is presented in this paper. The problem is formulated in terms of vector and scalar pote...
A study of different modeling choices for simulating platelets within the immersed boundary method [0.03%]
浸入边界法中不同模拟血小板方法的研究
Varun Shankar,Grady B Wright,Aaron L Fogelson et al.
Varun Shankar et al.
The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretization for the fluid equations of motion while maintaining a Lag...
M Aurada,S Ferraz-Leite,P Goldenits et al.
M Aurada et al.
For a boundary integral formulation of the 2D Laplace equation with mixed boundary conditions, we consider an adaptive Galerkin BEM based on an [Formula: see text]-type error estimator. We include the resolution of the Dirichlet, Neumann, a...
Markus Aurada,Samuel Ferraz-Leite,Dirk Praetorius
Markus Aurada
A posteriori error estimation and related adaptive mesh-refining algorithms have themselves proven to be powerful tools in nowadays scientific computing. Contrary to adaptive finite element methods, convergence of adaptive boundary element ...
Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis [0.03%]
基于有限元法的EEG源分析中不同求解器和位函数方法的精度及运算时间比较研究
S Lew,C H Wolters,T Dierkes et al.
S Lew et al.
Accuracy and run-time play an important role in medical diagnostics and research as well as in the field of neuroscience. In Electroencephalography (EEG) source reconstruction, a current distribution in the human brain is reconstructed noni...