SIAM J. Sci. Comput.最新文献_第10页

An Iterative Reduction FISTA Algorithm for Large-Scale LASSO 大规模LASSO的迭代约简FISTA算法

SIAM J. Sci. Comput. Pub Date : 2022-07-11 DOI: 10.1137/20m1374328

Guoqiang Wang, Wenjian Yu, Xiubo Liang, Yuanqing Wu, Bo Yu

引用次数: 1

Weighted-norm preconditioners for a multi-layer tide model 多层潮汐模型的加权范数预处理

SIAM J. Sci. Comput. Pub Date : 2022-07-05 DOI: 10.48550/arXiv.2207.02116

C. Cotter, R. Kirby, Hunter Morris

引用次数: 0

(boldsymbol{mathcal{L}_2})-Optimal Reduced-Order Modeling Using Parameter-Separable Forms (boldsymbol{mathcal{L}_2})-使用参数可分形式的最优降阶建模

SIAM J. Sci. Comput. Pub Date : 2022-06-06 DOI: 10.1137/22m1500678

Petar Mlinaric, S. Gugercin

引用次数: 0

Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches 基于拉格朗日乘子方法的Landau-Lifshitz方程保长数值格式

SIAM J. Sci. Comput. Pub Date : 2022-06-06 DOI: 10.48550/arXiv.2206.02882

Q. Cheng, Jie Shen

引用次数: 0

Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation 基于离散经验插值的非线性动力系统的保梯度超约化

SIAM J. Sci. Comput. Pub Date : 2022-06-03 DOI: 10.1137/22M1503890

C. Pagliantini, Federico Vismara

{"title":"Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation","authors":"C. Pagliantini, Federico Vismara","doi":"10.1137/22M1503890","DOIUrl":"https://doi.org/10.1137/22M1503890","url":null,"abstract":"This work proposes a hyper-reduction method for nonlinear parametric dynamical systems characterized by gradient fields such as Hamiltonian systems and gradient flows. The gradient structure is associated with conservation of invariants or with dissipation and hence plays a crucial role in the description of the physical properties of the system. Traditional hyper-reduction of nonlinear gradient fields yields efficient approximations that, however, lack the gradient structure. We focus on Hamiltonian gradients and we propose to first decompose the nonlinear part of the Hamiltonian, mapped into a suitable reduced space, into the sum of d terms, each characterized by a sparse dependence on the system state. Then, the hyper-reduced approximation is obtained via discrete empirical interpolation (DEIM) of the Jacobian of the derived d-valued nonlinear function. The resulting hyper-reduced model retains the gradient structure and its computationally complexity is independent of the size of the full model. Moreover, a priori error estimates show that the hyper-reduced model converges to the reduced model and the Hamiltonian is asymptotically preserved. Whenever the nonlinear Hamiltonian gradient is not globally reducible, i.e. its evolution requires high-dimensional DEIM approximation spaces, an adaptive strategy is performed. This consists in updating the hyper-reduced Hamiltonian via a low-rank correction of the DEIM basis. Numerical tests demonstrate the applicability of the proposed approach to general nonlinear operators and runtime speedups compared to the full and the reduced models.","PeriodicalId":21812,"journal":{"name":"SIAM J. Sci. Comput.","volume":"69 1","pages":"2725-"},"PeriodicalIF":0.0,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90891939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Asynchronous Multiplicative Coarse-Space Correction 异步乘法粗空间校正

SIAM J. Sci. Comput. Pub Date : 2022-06-01 DOI: 10.1137/21m1432107

Guillaume Gbikpi Benissan, F. Magoulès

引用次数: 5

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography 具有非平坦底地形的二维旋转浅水方程的一种良好平衡渐近保持格式

SIAM J. Sci. Comput. Pub Date : 2022-06-01 DOI: 10.1137/21m141573x

A. Kurganov, Yongle Liu, M. Lukácová-Medvidová

引用次数: 4

Gaussian Process Subspace Prediction for Model Reduction 模型约简的高斯过程子空间预测

SIAM J. Sci. Comput. Pub Date : 2022-06-01 DOI: 10.1137/21m1432739

Ruda Zhang, Simon Mak, D. Dunson

引用次数: 2

On thermodynamically compatible finite volume schemes for continuum mechanics 连续介质力学的热相容有限体积格式

SIAM J. Sci. Comput. Pub Date : 2022-06-01 DOI: 10.1137/21M1417508

S. Busto, M. Dumbser, I. Peshkov, E. Romenski

{"title":"On thermodynamically compatible finite volume schemes for continuum mechanics","authors":"S. Busto, M. Dumbser, I. Peshkov, E. Romenski","doi":"10.1137/21M1417508","DOIUrl":"https://doi.org/10.1137/21M1417508","url":null,"abstract":"In this paper we present a new family of semi-discrete and fully-discrete finite volume schemes for overdetermined, hyperbolic and thermodynamically compatible PDE systems. In the following we will denote these methods as HTC schemes. In particular, we consider the Euler equations of compressible gasdynamics, as well as the more complex Godunov-Peshkov-Romenski (GPR) model of continuum mechanics, which, at the aid of suitable relaxation source terms, is able to describe nonlinear elasto-plastic solids at large deformations as well as viscous fluids as two special cases of a more general first order hyperbolic model of continuum mechanics. The main novelty of the schemes presented in this paper lies in the fact that we solve the textit{entropy inequality} as a primary evolution equation rather than the usual total energy conservation law. Instead, total energy conservation is achieved as a mere consequence of a thermodynamically compatible discretization of all the other equations. For this, we first construct a discrete framework for the compressible Euler equations that mimics the continuous framework of Godunov's seminal paper textit{An interesting class of quasilinear systems} of 1961 textit{exactly} at the discrete level. All other terms in the governing equations of the more general GPR model, including non-conservative products, are judiciously discretized in order to achieve discrete thermodynamic compatibility, with the exact conservation of total energy density as a direct consequence of all the other equations. As a result, the HTC schemes proposed in this paper are provably marginally stable in the energy norm and satisfy a discrete entropy inequality by construction. We show some computational results obtained with HTC schemes in one and two space dimensions, considering both the fluid limit as well as the solid limit of the governing partial differential equations.","PeriodicalId":21812,"journal":{"name":"SIAM J. Sci. Comput.","volume":"47 6 1","pages":"1723-"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73005009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 17

Special Section on the Fifty-Second Annual ACM Symposium on the Theory of Computing (STOC 2020) 第52届ACM计算理论年会(STOC 2020)专题会议

SIAM J. Sci. Comput. Pub Date : 2022-06-01 DOI: 10.1137/22n975494

A. Chattopadhyay, Marek Cygan, Noga Ron-Zewi, Christian Wulff-Nilsen

引用次数: 0