Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem (Q2362288)
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| English | Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem |
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Noether-type discrete conserved quantities arising from a finite element approximation of a variational problem (English)
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7 July 2017
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The authors prove a weak Noether-type theorem for a class of variational problems that admit broken extremals. This result is used to prove discrete Noether-type conservation laws for a conforming finite element discretisation of a model elliptic problem. Furthermore, the authors study how well the finite element scheme satisfies the continuous conservation laws. Numerical tests are given.
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finite element methods
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variational problems
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Noether's theorem
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elliptic problem
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numerical test
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