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A finite element lumped mass scheme for solving eigenvalue problems of circular arches

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In this paper, we present a finite element lumped mass scheme for eigenvalue problems of circular arch structures, and give error estimates for the approximation. They assert that approximate eigenvalues and eigenfuctions converge to the exact ones. Some numerical examples are also given to illustrate our results.

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Ishihara, K. A finite element lumped mass scheme for solving eigenvalue problems of circular arches. Numer. Math. 36, 267–290 (1980). https://doi.org/10.1007/BF01396655

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