Efficient Spectral-Galerkin Method and Analysis for Elliptic PDEs with Non-local Boundary Conditions

被引：0
作者：
Lina Hu
Lina Ma
Jie Shen
机构：
[1] Texas A&M University,Department of Mathematics
[2] Pennsylvania State University,Department of Mathematics
[3] Xiamen University,School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Computing
[4] Purdue University,Department of Mathematics
来源：
Journal of Scientific Computing | 2016年 / 68卷
关键词：
Non-local boundary conditions; Spectral-Galerkin method; Legendre polynomial; Error analysis; 65N35; 65N22; 65F05; 35J05; 35J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present an efficient Legendre–Galerkin method and its error analysis for a class of PDEs with non-local boundary conditions. We also present several numerical experiments, including the scattering problem from an open cavity, to demonstrate the accuracy and efficiency of the proposed method.
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页码：417 / 437
页数：20
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