Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling [0.03%]
基于最小外接耦合的无散度速度和旋度逼近及其在不可压缩流体问题中的应用
J Gopalakrishnan,L Kogler,P L Lederer et al.
J Gopalakrishnan et al.
We introduce two new lowest order methods, a mixed method, and a hybrid discontinuous Galerkin method, for the approximation of incompressible flows. Both methods use divergence-conforming linear Brezzi-Douglas-Marini space for approximatin...
Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping [0.03%]
基于三角网格的双曲型偏微分方程高阶连续有限元光谱分析：近似、稳定性和时间离散的影响
Sixtine Michel,Davide Torlo,Mario Ricchiuto et al.
Sixtine Michel et al.
In this work we study various continuous finite element discretization for two dimensional hyperbolic partial differential equations, varying the polynomial space (Lagrangian on equispaced, Lagrangian on quadrature points (Cubature) and Ber...
Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology [0.03%]
应用于流行病学时空隔室模型的数据同化预测生成对抗网络（DA-PredGAN）
Vinicius L S Silva,Claire E Heaney,Yaqi Li et al.
Vinicius L S Silva et al.
We propose a novel use of generative adversarial networks (GANs) (i) to make predictions in time (PredGAN) and (ii) to assimilate measurements (DA-PredGAN). In the latter case, we take advantage of the natural adjoint-like properties of gen...
Projection Based Semi-Implicit Partitioned Reduced Basis Method for Fluid-Structure Interaction Problems [0.03%]
基于投影的流固耦合问题的半隐式分区简约化基础方法
Monica Nonino,Francesco Ballarin,Gianluigi Rozza et al.
Monica Nonino et al.
In this manuscript a POD-Galerkin based Reduced Order Model for unsteady Fluid-Structure Interaction problems is presented. The model is based on a partitioned algorithm, with semi-implicit treatment of the coupling conditions. A Chorin-Tem...
Argyrios Petras,Leevan Ling,Steven J Ruuth
Argyrios Petras
We analyze a class of meshfree semi-Lagrangian methods for solving advection problems on smooth, closed surfaces with solenoidal velocity field. In particular, we prove the existence of an embedding equation whose corresponding semi-Lagrang...
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation [0.03%]
求解非光滑预设Jacobian方程的最小二乘法
Alexandre Caboussat,Roland Glowinski,Dimitrios Gourzoulidis
Alexandre Caboussat
We consider a least-squares/relaxation finite element method for the numerical solution of the prescribed Jacobian equation. We look for its solution via a least-squares approach. We introduce a relaxation algorithm that decouples this leas...
Data-Driven Modeling of Linear Dynamical Systems with Quadratic Output in the AAA Framework [0.03%]
基于数据的二次输出线性动态系统的AAA框架模型化
Ion Victor Gosea,Serkan Gugercin
Ion Victor Gosea
We extend the Adaptive Antoulas-Anderson (AAA) algorithm to develop a data-driven modeling framework for linear systems with quadratic output (LQO). Such systems are characterized by two transfer functions: one corresponding to the linear p...
Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation [0.03%]
多阶分数阶微分方程非线性系统：理论分析和稳健的分数阶伽辽金实现方法
A Faghih,P Mokhtary
A Faghih
This paper presents a comprehensive study of non-linear systems of multi-order fractional differential equations from aspects of theory and numerical approximation. In this regard, we first establish the well-posedness of the underlying pro...
Davide Palitta,Sanda Lefteriu
Davide Palitta
The Loewner framework is one of the most successful data-driven model order reduction techniques. If N is the cardinality of a given data set, the so-called Loewner and shifted Loewner matrices L ∈ C N × N and S ∈ C N &#...
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps [0.03%]
当系数矩阵有跳跃时波动传播问题中谱元间断Galerkin格式的稳定性分析
David A Kopriva,Gregor J Gassner,Jan Nordström
David A Kopriva
We use the behavior of the L 2 norm of the solutions of linear hyperbolic equations with discontinuous coefficient matrices as a surrogate to infer stability of discontinuous Galerkin spectral element methods (DGSEM). Although the L 2 nor...