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

Lina Hu; Lina Ma; Jie Shen

doi:10.1007/s10915-015-0145-x

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

Lina Hu
, Lina Ma
, Jie Shen

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	417-437
Number of pages	21
Journal	Journal of Scientific Computing
Volume	68
Issue number	2
DOIs	https://doi.org/10.1007/s10915-015-0145-x
State	Published - Aug 1 2016

All Science Journal Classification (ASJC) codes

Software
General Engineering
Computational Mathematics
Theoretical Computer Science
Applied Mathematics
Numerical Analysis
Computational Theory and Mathematics

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10.1007/s10915-015-0145-x

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abstract = "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.",

author = "Lina Hu and Lina Ma and Jie Shen",

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AU - Ma, Lina

AU - Shen, Jie

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Y1 - 2016/8/1

N2 - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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