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- Peking UniversityCN249 papers
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6 papers · 2 filters
Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data
Shousheng Luo, Ruyue Meng, Suhua Wei +3
In this paper we consider 3D axis-symmetric (AS) object reconstruction from single cone-beam x-ray projection data. Traditional x-ray CT fails to capture fleeting state of material…
Computing oscillatory solutions of the Euler system via -convergence
Eduard Feireisl, Maria Lukacova, Bangwei She +1
We develop a method to compute effectively the Young measures associated to sequences of numerical solutions of the compressible Euler system. Our approach is based on the concept…
A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels
Minghua Chen, Wenya Qi, Jiankang Shi +1
As is well known, using piecewise linear polynomial collocation (PLC) and piecewise quadratic polynomial collocation (PQC), respectively, to approximate the weakly singular integra…
A hybrid Hermite WENO scheme for hyperbolic conservation laws
Zhuang Zhao, Yibing Chen, Jianxian Qiu
In this paper, we propose a hybrid finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for solving one and two dimensional hyperbolic conservation laws. The z…
A positivity-preserving finite volume element method for anisotropic diffusion problems on quadrilateral meshes
Yanni Gao, Guangwei Yuan, Shuai Wang +1
In this paper, we propose a nonlinear positivity-preserving finite volume element(FVE) scheme for anisotropic diffusion problems on quadrilateral meshes. Based on an overlapping du…
Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction
Ruo Li, Zhiyuan Sun, Fanyi Yang
We adapt a symmetric interior penalty discontinuous Galerkin method using a patch reconstructed approximation space to solve elliptic eigenvalue problems, including both second and…