An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. (Q1871026)
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scientific article; zbMATH DE number 1906465
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| English | An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. |
scientific article; zbMATH DE number 1906465 |
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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. (English)
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6 May 2003
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A method or the finite element solution of an elliptic interface problem is given which uses \textit{J. Nitsche}'s method [Abh. Math. Semin. Univ. Hamb. 36, 9--15 (1971; Zbl 0229.65079)]. It allows for discontinuities internal to the elements. The optimal order of convergence holds without restrictions on the location of the interface relative to the mesh. A posteriori error estimates for controlling functionals are derived.
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finite element method
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Nitsche's method
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elliptic interface problem
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stationary heat conduction
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convergence
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error estimates
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