Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

Miyashita, Masaru; Saito, Norikazu

doi:10.1007/s10915-018-0678-x

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2019

2023

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Cited by 4 publications

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“…also Könnö and Stenberg [27] where it was employed for solving the Brinkman problem. Independently, the same approach has been proposed by Oikawa and Kikuchi [32] and further developed by Miyashita and Saito [31].…”

Section: Introductionmentioning

confidence: 97%

Hybridized CutFEM for Elliptic Interface Problems

Burman¹,

Elfverson²,

Hansbo³

et al. 2019

SIAM J. Sci. Comput.

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We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, through a skeletal variable, using a Nitsche type approach. We discuss how optimal error estimates for the method are obtained using the tools of cut finite element methods and prove a condition number estimate for the Schur complement. Finally, we present illustrating numerical examples.

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Section: Introductionmentioning

confidence: 97%