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Communications on Applied Mathematics and Computation最新文献

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Remapping Between Meshes with Isoparametric Cells: a Case Study 网格之间的重映射与等参数细胞:一个案例研究
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-27 DOI: 10.1007/s42967-023-00250-4
Mikhail Shashkov, Konstantin Lipnikov
{"title":"Remapping Between Meshes with Isoparametric Cells: a Case Study","authors":"Mikhail Shashkov, Konstantin Lipnikov","doi":"10.1007/s42967-023-00250-4","DOIUrl":"https://doi.org/10.1007/s42967-023-00250-4","url":null,"abstract":"We explore an intersection-based remap method between meshes consisting of isoparametric elements. We present algorithms for the case of serendipity isoparametric elements (QUAD8 elements) and piece-wise constant (cell-centered) discrete fields. We demonstrate convergence properties of this remap method with a few numerical experiments.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135891039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach 直接不连续伽辽金方法的超收敛性:基于傅里叶方法的特征结构分析
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-27 DOI: 10.1007/s42967-022-00246-6
Xuechun Liu, Haijin Wang, Jue Yan, Xinghui Zhong
{"title":"Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach","authors":"Xuechun Liu, Haijin Wang, Jue Yan, Xinghui Zhong","doi":"10.1007/s42967-022-00246-6","DOIUrl":"https://doi.org/10.1007/s42967-022-00246-6","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"51 1","pages":"1-22"},"PeriodicalIF":1.6,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79393637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness 具有自适应公差的几何局域刚度问题迭代子区域校正预调节器
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-21 DOI: 10.1007/s42967-023-00254-0
Michael Franco, P. Persson, Will Pazner
{"title":"Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness","authors":"Michael Franco, P. Persson, Will Pazner","doi":"10.1007/s42967-023-00254-0","DOIUrl":"https://doi.org/10.1007/s42967-023-00254-0","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"15 1","pages":"1-26"},"PeriodicalIF":1.6,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72630720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations 粘阻MHD方程的可证明保正局部间断伽辽金方法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-20 DOI: 10.1007/s42967-022-00247-5
Mengjiao Jiao, Yan Jiang, Mengping Zhang
{"title":"A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations","authors":"Mengjiao Jiao, Yan Jiang, Mengping Zhang","doi":"10.1007/s42967-022-00247-5","DOIUrl":"https://doi.org/10.1007/s42967-022-00247-5","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"1 1","pages":"1-32"},"PeriodicalIF":1.6,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82338688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the $$L^2 ({mathbb {R}})$$ L 2 ( R ) -Norm Decay Estimates for Two Cauchy Systems of Coupled Wave Equations Under Frictional Dampings 摩擦阻尼下两个柯西耦合波动方程系统的$$L^2 ({mathbb {R}})$$ l2 (R) -范数衰减估计
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-20 DOI: 10.1007/s42967-023-00252-2
A. Guesmia
{"title":"On the \u0000 \u0000 \u0000 \u0000 $$L^2 ({mathbb {R}})$$\u0000 \u0000 \u0000 \u0000 L\u0000 2\u0000 \u0000 \u0000 (\u0000 R\u0000 )\u0000 \u0000 \u0000 \u0000 -Norm Decay Estimates for Two Cauchy Systems of Coupled Wave Equations Under Frictional Dampings","authors":"A. Guesmia","doi":"10.1007/s42967-023-00252-2","DOIUrl":"https://doi.org/10.1007/s42967-023-00252-2","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"23 1","pages":"1-20"},"PeriodicalIF":1.6,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76114258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element 含$$[P_k]^d-P_{k-1}$$元张量积网格Stokes方程的DG法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-17 DOI: 10.1007/s42967-022-00243-9
Lin Mu, X. Ye, Shangyou Zhang, P. Zhu
{"title":"A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element","authors":"Lin Mu, X. Ye, Shangyou Zhang, P. Zhu","doi":"10.1007/s42967-022-00243-9","DOIUrl":"https://doi.org/10.1007/s42967-022-00243-9","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"58 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84155496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Numerical Investigations on the Resonance Errors of Multiscale Discontinuous Galerkin Methods for One-Dimensional Stationary Schrödinger Equation 一维平稳Schrödinger方程多尺度不连续伽辽金方法共振误差的数值研究
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-08 DOI: 10.1007/s42967-022-00248-4
Bo Dong, Wei Wang
{"title":"Numerical Investigations on the Resonance Errors of Multiscale Discontinuous Galerkin Methods for One-Dimensional Stationary Schrödinger Equation","authors":"Bo Dong, Wei Wang","doi":"10.1007/s42967-022-00248-4","DOIUrl":"https://doi.org/10.1007/s42967-022-00248-4","url":null,"abstract":"In this paper, numerical experiments are carried out to investigate the impact of penalty parameters in the numerical traces on the resonance errors of high-order multiscale discontinuous Galerkin (DG) methods (Dong et al. in J Sci Comput 66: 321–345, 2016; Dong and Wang in J Comput Appl Math 380: 1–11, 2020) for a one-dimensional stationary Schrödinger equation. Previous work showed that penalty parameters were required to be positive in error analysis, but the methods with zero penalty parameters worked fine in numerical simulations on coarse meshes. In this work, by performing extensive numerical experiments, we discover that zero penalty parameters lead to resonance errors in the multiscale DG methods, and taking positive penalty parameters can effectively reduce resonance errors and make the matrix in the global linear system have better condition numbers.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136244718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite Difference Schemes for Time-Space Fractional Diffusion Equations in One- and Two-Dimensions 一维和二维时-空分数扩散方程的有限差分格式
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-08 DOI: 10.1007/s42967-022-00244-8
Y. Wang, Min Cai
{"title":"Finite Difference Schemes for Time-Space Fractional Diffusion Equations in One- and Two-Dimensions","authors":"Y. Wang, Min Cai","doi":"10.1007/s42967-022-00244-8","DOIUrl":"https://doi.org/10.1007/s42967-022-00244-8","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"30 1","pages":"1674-1696"},"PeriodicalIF":1.6,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83401547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Stability Analysis of Inverse Lax-Wendroff Procedure for a High order Compact Finite Difference Schemes 一类高阶紧致有限差分格式的逆Lax-Wendroff过程的稳定性分析
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-03-06 DOI: 10.1007/s42967-022-00228-8
Tingting Li, Jianfang Lu, Pengde Wang
{"title":"Stability Analysis of Inverse Lax-Wendroff Procedure for a High order Compact Finite Difference Schemes","authors":"Tingting Li, Jianfang Lu, Pengde Wang","doi":"10.1007/s42967-022-00228-8","DOIUrl":"https://doi.org/10.1007/s42967-022-00228-8","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"40 1","pages":"1-48"},"PeriodicalIF":1.6,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79647903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow 二维不可压缩流的高阶精确保界紧致有限差分格式
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-02-16 DOI: 10.1007/s42967-022-00227-9
Hao Li, Xiangxiong Zhang
{"title":"A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow","authors":"Hao Li, Xiangxiong Zhang","doi":"10.1007/s42967-022-00227-9","DOIUrl":"https://doi.org/10.1007/s42967-022-00227-9","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"135 1","pages":"1-29"},"PeriodicalIF":1.6,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88705144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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