A priori and posteriori error analysis for time-dependent Maxwell's equations

Jichun Li; Yanping Lin

doi:10.1016/j.cma.2014.08.009

A priori and posteriori error analysis for time-dependent Maxwell's equations

Jichun Li, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

We consider time-dependent Maxwell's equations discretized by variable time steps in time domain and edge elements in spatial domain. First, the stability and optimal a priori error estimate are proved for both semi and fully discrete schemes. Then a posteriori error analysis is carried out for both schemes.

Original language	English
Pages (from-to)	54-68
Number of pages	15
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	292
DOIs	https://doi.org/10.1016/j.cma.2014.08.009
Publication status	Published - 1 Aug 2015

Keywords

Backward Euler scheme
Edge elements
Maxwell's equations
Posteriori error analysis

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2014.08.009

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title = "A priori and posteriori error analysis for time-dependent Maxwell's equations",

abstract = "We consider time-dependent Maxwell's equations discretized by variable time steps in time domain and edge elements in spatial domain. First, the stability and optimal a priori error estimate are proved for both semi and fully discrete schemes. Then a posteriori error analysis is carried out for both schemes.",

keywords = "Backward Euler scheme, Edge elements, Maxwell's equations, Posteriori error analysis",

author = "Jichun Li and Yanping Lin",

year = "2015",

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doi = "10.1016/j.cma.2014.08.009",

language = "English",

volume = "292",

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journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - A priori and posteriori error analysis for time-dependent Maxwell's equations

AU - Li, Jichun

AU - Lin, Yanping

PY - 2015/8/1

Y1 - 2015/8/1

N2 - We consider time-dependent Maxwell's equations discretized by variable time steps in time domain and edge elements in spatial domain. First, the stability and optimal a priori error estimate are proved for both semi and fully discrete schemes. Then a posteriori error analysis is carried out for both schemes.

AB - We consider time-dependent Maxwell's equations discretized by variable time steps in time domain and edge elements in spatial domain. First, the stability and optimal a priori error estimate are proved for both semi and fully discrete schemes. Then a posteriori error analysis is carried out for both schemes.

KW - Backward Euler scheme

KW - Edge elements

KW - Maxwell's equations

KW - Posteriori error analysis

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U2 - 10.1016/j.cma.2014.08.009

DO - 10.1016/j.cma.2014.08.009

M3 - Journal article

SN - 0045-7825

VL - 292

SP - 54

EP - 68

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

A priori and posteriori error analysis for time-dependent Maxwell's equations

Abstract

Keywords

ASJC Scopus subject areas

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