EM-WaveHoltz: A Flexible Frequency-Domain Method Built From Time-Domain Solvers
被引:5
作者:
Peng, Zhichao
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机构:
Michigan State Univ, Dept Math, E Lansing, MI 48824 USAMichigan State Univ, Dept Math, E Lansing, MI 48824 USA
Peng, Zhichao
[1
]
Appelo, Daniel
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Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
Michigan State Univ, Dept Computat Math Sci & Engn, E Lansing, MI 48824 USAMichigan State Univ, Dept Math, E Lansing, MI 48824 USA
Appelo, Daniel
[1
,2
]
机构:
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[2] Michigan State Univ, Dept Computat Math Sci & Engn, E Lansing, MI 48824 USA
A novel approach to computing time-harmonic solutions of Maxwell's equations by time-domain simulations is presented. The method, electromagnetic-WaveHoltz (EM-WaveHoltz), results in a positive definite system of equations, which makes it amenable to iterative solution with the conjugate gradient method or with generalized minimal residual method (GMRES). Theoretical results guaranteeing the convergence of the method away from resonances are presented. Numerical examples illustrating the properties of EM-WaveHoltz are given.
机构:
Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R ChinaSoochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
Lu, Peipei
;
Xu, Xuejun
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机构:
Tongji Univ, Dept Math, Beijing 100190, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R ChinaSoochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Oskooi, Ardavan F.
;
Roundy, David
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机构:
Oregon State Univ, Dept Phys, Corvallis, OR 97331 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Roundy, David
;
Ibanescu, Mihai
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机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Phys, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Ibanescu, Mihai
;
Bermel, Peter
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h-index: 0
机构:
MIT, Elect Res Lab, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Bermel, Peter
;
Joannopoulos, J. D.
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机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Phys, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Joannopoulos, J. D.
;
Johnson, Steven G.
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机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Math, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
机构:
Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R ChinaSoochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
Lu, Peipei
;
Xu, Xuejun
论文数: 0引用数: 0
h-index: 0
机构:
Tongji Univ, Dept Math, Beijing 100190, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R ChinaSoochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Oskooi, Ardavan F.
;
Roundy, David
论文数: 0引用数: 0
h-index: 0
机构:
Oregon State Univ, Dept Phys, Corvallis, OR 97331 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Roundy, David
;
Ibanescu, Mihai
论文数: 0引用数: 0
h-index: 0
机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Phys, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Ibanescu, Mihai
;
Bermel, Peter
论文数: 0引用数: 0
h-index: 0
机构:
MIT, Elect Res Lab, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Bermel, Peter
;
Joannopoulos, J. D.
论文数: 0引用数: 0
h-index: 0
机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Phys, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
Joannopoulos, J. D.
;
Johnson, Steven G.
论文数: 0引用数: 0
h-index: 0
机构:
MIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA
MIT, Elect Res Lab, Cambridge, MA 02139 USA
MIT, Dept Math, Cambridge, MA 02139 USAMIT, Ctr Mat Sci & Engn, Cambridge, MA 02139 USA