Finite-element model: Difference between revisions

From Glossary of Meteorology
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|Meaning=A [[model]] with [[dependent variables]] represented as a finite series of piecewise-  developed [[polynomial]] basis functions (finite elements), as opposed to globally defined Fourier or  [[spherical harmonic]] functions.
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|Explanation=Each basis function is nonzero only over a very small part of the domain. Examples are hat  functions and piecewise-defined cubic splines.
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== finite-element model ==
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<div class="definition"><div class="short_definition">A [[model]] with [[dependent variables]] represented as a finite series of piecewise-  developed [[polynomial]] basis functions (finite elements), as opposed to globally defined Fourier or  [[spherical harmonic]] functions.</div><br/> <div class="paragraph">Each basis function is nonzero only over a very small part of the domain. Examples are hat  functions and piecewise-defined cubic splines.</div><br/> </div>
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Latest revision as of 11:17, 30 March 2024

A model with dependent variables represented as a finite series of piecewise- developed polynomial basis functions (finite elements), as opposed to globally defined Fourier or spherical harmonic functions.

Each basis function is nonzero only over a very small part of the domain. Examples are hat functions and piecewise-defined cubic splines.

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