We propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous Galerkin (DG) method and a second-order finite-volume (FV) method. The str...
{"title":"A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation","authors":"Vincent Heningburg, C. Hauck","doi":"10.1137/19M1304520","DOIUrl":"https://doi.org/10.1137/19M1304520","url":null,"abstract":"We propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous Galerkin (DG) method and a second-order finite-volume (FV) method. The str...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127376131","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}
. In a beautiful paper, Modin, Nachman, and Rondi [ Adv. Math. , 346 (2019), pp. 1009–1066] introduced a hierarchical image registration model based on the large deformation diffeomorphic metric mapping (LDDMM) framework. Unfortunately, no numerical tests are performed to show the efficiency of this multiscale approach. The LDDMM image registration framework is essentially a variational problem with differential equation constraints and the structure of the cost functional is very complex. Therefore, it’s necessary and meaningful to introduce some other analogous multiscale approaches with a much simpler cost functional. Motivated by the work of Modin, Nachman, and Rondi, we construct a multiscale image registration approach for the two-dimensional diffeomorphic image registration model in [H. Han and Z. Wang, SIAM J. Imaging Sci. , 13 (2020), pp. 1240–1271]. This approach achieves a smooth minimizer for the cost functional without regularization. This result is completely different from most published models which only achieve minimizers of the cost functional with some regularization. The existence of solutions for the multiscale approach and the convergence of the multiscale approach are proved. In addition, a multigrid based multi- scale diffeomorphic image registration algorithm is presented. Moreover, numerical tests are also performed to show that the proposed multiscale approach achieves a satisfactory image registration result without mesh folding.
{"title":"MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration","authors":"Huan Han, Zhengping Wang, Yimin Zhang","doi":"10.1137/20m1383987","DOIUrl":"https://doi.org/10.1137/20m1383987","url":null,"abstract":". In a beautiful paper, Modin, Nachman, and Rondi [ Adv. Math. , 346 (2019), pp. 1009–1066] introduced a hierarchical image registration model based on the large deformation diffeomorphic metric mapping (LDDMM) framework. Unfortunately, no numerical tests are performed to show the efficiency of this multiscale approach. The LDDMM image registration framework is essentially a variational problem with differential equation constraints and the structure of the cost functional is very complex. Therefore, it’s necessary and meaningful to introduce some other analogous multiscale approaches with a much simpler cost functional. Motivated by the work of Modin, Nachman, and Rondi, we construct a multiscale image registration approach for the two-dimensional diffeomorphic image registration model in [H. Han and Z. Wang, SIAM J. Imaging Sci. , 13 (2020), pp. 1240–1271]. This approach achieves a smooth minimizer for the cost functional without regularization. This result is completely different from most published models which only achieve minimizers of the cost functional with some regularization. The existence of solutions for the multiscale approach and the convergence of the multiscale approach are proved. In addition, a multigrid based multi- scale diffeomorphic image registration algorithm is presented. Moreover, numerical tests are also performed to show that the proposed multiscale approach achieves a satisfactory image registration result without mesh folding.","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129699422","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}
We consider Mandel's problem from poroelasticity, which describes the behavior of a water saturated porous sample being sandwiched between two rigid plates. It was observed, both computationally an...
我们从孔隙弹性考虑曼德尔问题，它描述了水饱和多孔样品夹在两个刚性板之间的行为。它被观测到，计算和…
{"title":"Mathematical Proof of the Mandel-Cryer Effect in Poroelasticity","authors":"C. J. Duijn, A. Mikelić","doi":"10.1137/20M1346043","DOIUrl":"https://doi.org/10.1137/20M1346043","url":null,"abstract":"We consider Mandel's problem from poroelasticity, which describes the behavior of a water saturated porous sample being sandwiched between two rigid plates. It was observed, both computationally an...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121033762","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}
{"title":"Homogenization of Boundary Layers in the Boltzmann-Poisson System","authors":"C. Heitzinger, J. Escalante","doi":"10.1137/18M1193888","DOIUrl":"https://doi.org/10.1137/18M1193888","url":null,"abstract":"","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131374685","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}
The Lagrange-multiplier technique is a multiscale numerical scheme designed to solve evolution problems containing some stiff transport terms. Such multiscale problems arise very often in kinetic m...
{"title":"Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems","authors":"C. Negulescu","doi":"10.1137/20M1333717","DOIUrl":"https://doi.org/10.1137/20M1333717","url":null,"abstract":"The Lagrange-multiplier technique is a multiscale numerical scheme designed to solve evolution problems containing some stiff transport terms. Such multiscale problems arise very often in kinetic m...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129010816","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}
We study the multiscale description of large-time collective behavior of agents driven by alignment. The resulting multiflock dynamics arises naturally with realistic initial configurations consist...
{"title":"Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior","authors":"R. Shvydkoy, E. Tadmor","doi":"10.1137/20m1324454","DOIUrl":"https://doi.org/10.1137/20m1324454","url":null,"abstract":"We study the multiscale description of large-time collective behavior of agents driven by alignment. The resulting multiflock dynamics arises naturally with realistic initial configurations consist...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130618834","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}
Starting from Hadamard's method, we develop Babich's ansatz for the frequency-domain point-source elastic wave equations in an inhomogeneous medium in the high-frequency regime. First, we develop a...
{"title":"Hadamard-Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies","authors":"J. Qian, Jian Song, Wangtao Lu, R. Burridge","doi":"10.1137/20M1322224","DOIUrl":"https://doi.org/10.1137/20M1322224","url":null,"abstract":"Starting from Hadamard's method, we develop Babich's ansatz for the frequency-domain point-source elastic wave equations in an inhomogeneous medium in the high-frequency regime. First, we develop a...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121743462","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}
This paper is devoted to a study of nonlinear Robin-type boundary value problems of second-order elliptic partial differential equations. Specifically, nonlinear boundary conditions are modeled by ...
研究了一类二阶椭圆型偏微分方程的非线性robin型边值问题。具体地说，非线性边界条件由…
{"title":"Asymptotic Analysis of Nonlinear Robin-Type Boundary Value Problems with Small Periodic Structure","authors":"C. Ye, J. Cui, Hao Dong","doi":"10.1137/19M1252326","DOIUrl":"https://doi.org/10.1137/19M1252326","url":null,"abstract":"This paper is devoted to a study of nonlinear Robin-type boundary value problems of second-order elliptic partial differential equations. Specifically, nonlinear boundary conditions are modeled by ...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128978168","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}
We study wave propagation in materials in which the refractive index varies in time. We compare the situations in which the variations are periodic and random. If the modulation period (in the peri...
{"title":"Wave Propagation in Periodic and Random Time-Dependent Media","authors":"J. Garnier","doi":"10.1137/20m1377734","DOIUrl":"https://doi.org/10.1137/20m1377734","url":null,"abstract":"We study wave propagation in materials in which the refractive index varies in time. We compare the situations in which the variations are periodic and random. If the modulation period (in the peri...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129890870","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}
This paper presents an efficient multiscale approach for solving the time-domain Maxwell's equations with rapidly oscillating coefficients coupled to a wave-like equation, which arise in the simula...
{"title":"Multiscale Approach and Analysis for Transient Simulation of Light Interaction With Nonlocal Metallic Nanostructure Arrays","authors":"Yongwei Zhang, Chupeng Ma, Li-qun Cao","doi":"10.1137/20M1359195","DOIUrl":"https://doi.org/10.1137/20M1359195","url":null,"abstract":"This paper presents an efficient multiscale approach for solving the time-domain Maxwell's equations with rapidly oscillating coefficients coupled to a wave-like equation, which arise in the simula...","PeriodicalId":313703,"journal":{"name":"Multiscale Model. Simul.","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125422614","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：