A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids (Q1775789)
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scientific article; zbMATH DE number 2164986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids |
scientific article; zbMATH DE number 2164986 |
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A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids (English)
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4 May 2005
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The paper presents a mixed vector finite element method for discretizing the time dependent Maxwell equations on unstructured hexahedral grids that is of arbitrary order accuracy in space and up to 4th order accurate in time. The method is charge and energy conserving, conditionally stable and correctly models both the jump discontinuities and the divergence-free properties of the electric and magnetic fields. Several computational examples are performed to demonstrate the benefits of the method, including the improved reduction of numerical dispersion error for electrically large problems.
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computational electromagnetics
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Maxwell's equations
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vector finite elements
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high order methods
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H(Curl) and H(Div)
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conforming methods
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discrete differential forms
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spurious modes
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numerical dispersion
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