Discrete exterior calculus
In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs and finite element meshes. DEC methods have proved to be very powerful in improving and analyzing finite element methods: for instance, DEC-based methods allow the use of highly non-uniform meshes to obtain accurate results. Non-uniform meshes are advantageous because they allow the use of large elements where the process to be simulated is relatively simple, as opposed to a fine resolution where the process may be complicated (e.g., near an obstruction to a fluid flow), while using less computational power than if a uniformly fine mesh were used.
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Discrete Exterior CalculusDiscrete Laplace operatorDiscrete differential geometryDiscrete geometryDiscrete mathematicsExterior derivativeFinite element exterior calculusGlossary of areas of mathematicsLaplace operatorList of numerical analysis topicsLivewire Segmentation TechniqueTopological combinatorics
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Discrete exterior calculus
In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs and finite element meshes. DEC methods have proved to be very powerful in improving and analyzing finite element methods: for instance, DEC-based methods allow the use of highly non-uniform meshes to obtain accurate results. Non-uniform meshes are advantageous because they allow the use of large elements where the process to be simulated is relatively simple, as opposed to a fine resolution where the process may be complicated (e.g., near an obstruction to a fluid flow), while using less computational power than if a uniformly fine mesh were used.
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In mathematics, the discrete e ...... uniformly fine mesh were used.
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In mathematics, the discrete e ...... uniformly fine mesh were used.
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Discrete exterior calculus
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