partially supported by the DOE grant DE-SC0022253;the work of JL was partially supported by the NSF grant DMS-1719851 and DMS-2011148.
In this work,we develop a stochastic gradient descent method for the computational optimal design of random rough surfaces in thin-film solar cells.We formulate the design problems as random PDE-constrained optimizati...
supported by the National Natural Science Foundation of China(Nos.12261024,11561014);the Science and Technology Planning Project of Guizhou Province(Guizhou Kehe fundamental research-ZK[2022]No.324).
In this paper,based on the velocity-pressure formulation of the Stokes eigenvalue problemin d-dimensional case(d=2,3),we propose amultigrid discretization of discontinuous Galerkin method using P_(k)-P_(k)-1 element(k...
supported in part by NSFC grant 12031001;National Key R&D Program of China No.2023YFA1009003;supported in part by NSF grant DMS-2010107.
The arbitrary Lagrangian-Eulerian(ALE)method is widely used in the field of compressible multi-material and multi-phase flow problems.In order to implement the indirect ALE approach for the simulation of compressible ...
partially supported by the US National Science Foundation under grant number DMS-1912626.
This paper is concerned with efficient numerical methods for the advectiondiffusion equation in a heterogeneous porous medium containing fractures.A dimensionally reduced fracture model is considered,in which the frac...
funded by the Natural Science Foundation of China under grants 12071401,12171238,12261160361,and 11525103;the science and technology innovation Program of Hunan Province 2022RC1191.
We extend the pure source transfer domain decomposition method(PSTDDM)to solve the perfectly matched layer approximation of Helmholtz scattering problems in heterogeneous media.We first propose some new source transfe...
partially supported by the National Natural Science Foundation of China(Nos.11871009,12271055,12171048);the foundation of CAEP(CX20210044);the Foundation of LCP.
Most existing cell-centered finite volume schemes need to introduce auxiliary unknowns in order to maintain the second-order accuracy when the mesh is distorted or the problem is discontinuous,so interpolation algorit...
partially supported by the U.S.Department of Energy,Office of Science,Office of Biological and Environmental Research through Earth and Environmental System Modeling and Scientific Discovery through Advanced Computing programs under university grants DE-SC0020270 and DE-SC0020418;partially supported by Shandong Excellent Young Scientists Program(Overseas)under the grant 2023HWYQ-064;OUC Youth Talents Project.
The baroclinic-barotropic mode splitting technique is commonly employed in numerical solutions of the primitive equations for ocean modeling to deal with the multiple time scales of ocean dynamics.In this paper,a seco...
supported in part by the National Natural Science Foundation of China grants NSFC 12131005 and NSAF U2230402.
We propose two families of nonconforming elements on cubical meshes:one for the -curlΔcurl problem and the other for the Brinkman problem.The element for the -curlΔcurl problem is the first nonconforming element on ...
supported by ANID-Chile through the projects Centro de Modelamiento Matematico(CMM),FB210005;BASAL funds for centers of excellence;Anillo of Computational Mathematics for Desalination Processes,ACT210087,FONDECYT project 1211030;by DIUBB through projects 2020126 IF/R and 2120173 GI/C.
This paper deals with the numerical approximation of a pressure/displacement formulation of the elastoacoustic vibration problem in the axisymmetric case.We propose and analyze a discretization based on Lagrangian fin...
supported by National Key R&D Program of China(No.2022YFA1004500);Lin Fu acknowledges the fund from the Research Grants Council(RGC)of the Government of Hong Kong Special Administrative Region(HKSAR)with RGC/ECS Project(No.26200222);the fund from Guangdong Basic and Applied Basic Research Foundation(No.2022A1515011779);the fund from Key Laboratory of Computational Aerodynamics,AVIC Aerodynamics Research Institute,and the fund from the Project of Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone(No.HZQB-KCZYB-2020083);Feng Xiao acknowledges the fund from JSPS(Japan Society for the Promotion of Science)under Grant Nos.18H01366 and 19H05613;Hiro Wakimura acknowledges the fund from JSPS under Grant No.22KJ1331.
While the recently proposed TENO(targeted essentially non-oscillatory)schemes[Fu et al.,Journal of Computational Physics 305(2016):333-359]exhibit better performance than the classical WENO(weighted essentially non-os...