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Paper 8.1

On the Discrete Inf-Sup Condition for a Regularized Fictitious Domain Method Using Finite Element Methods

W. Lei, "On the Discrete Inf-Sup Condition for a Regularized Fictitious Domain Method Using Finite Element Methods", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 8.1, 2025,

Keywords: fictitious domain method, Dirac delta approximations, inf-sup condition, regularization, finite element method, interface problems.

Abstract

This short paper investigates sufficient conditions for the well-posedness for the discrete version of a regularized fictitious domain method using conforming finite element methods. We show that if both the regularization parameter and the bulk mesh size are proportional to the mesh size of the physical dmain, the discrete inf-sup condition holds, where the constant appearing the estimate is independent of all discretization parameters.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 8.1 On the Discrete Inf-Sup Condition for a Regularized Fictitious Domain Method Using Finite Element Methods W. Lei University of Electronic Science and Technology of China, Chengdu, China Full Bibliographic Reference for this paper W. Lei, "On the Discrete Inf-Sup Condition for a Regularized Fictitious Domain Method Using Finite Element Methods", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 8.1, 2025, Keywords: fictitious domain method, Dirac delta approximations, inf-sup condition, regularization, finite element method, interface problems. Abstract This short paper investigates sufficient conditions for the well-posedness for the discrete version of a regularized fictitious domain method using conforming finite element methods. We show that if both the regularization parameter and the bulk mesh size are proportional to the mesh size of the physical dmain, the discrete inf-sup condition holds, where the constant appearing the estimate is independent of all discretization parameters. download the full-text of this paper (PDF, 10 pages, 286 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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