Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01731-z ◽

2021 ◽

Vol 41 (1) ◽

Author(s):

Swapnil Kale ◽

Debasish Pradhan

Keyword(s):

Error Estimates ◽

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Penalty Approach ◽

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Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XIX ◽

10.1007/978-3-642-11304-8_43 ◽

2010 ◽

pp. 375-382

Author(s):

Roland Glowinski ◽

Qiaolin He

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Least Squares ◽

Elliptic Problems ◽

Fictitious Domain ◽

Robin Boundary Conditions ◽

Fictitious Domain Method ◽

Domain Method ◽

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An Adaptive Fictitious Domain Method for Elliptic Problems

SEMA SIMAI Springer Series - Advances in Discretization Methods ◽

10.1007/978-3-319-41246-7_11 ◽

2016 ◽

pp. 229-244 ◽

Author(s):

Stefano Berrone ◽

Andrea Bonito ◽

Marco Verani

Keyword(s):

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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Analysis of the fictitious domain method with penalty for elliptic problems

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-013-0124-2 ◽

2013 ◽

Vol 31 (1) ◽

pp. 57-85 ◽

Author(s):

Guanyu Zhou ◽

Norikazu Saito

Keyword(s):

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.05.013 ◽

2007 ◽

Vol 196 (8) ◽

pp. 1498-1506 ◽

Author(s):

R. Glowinski ◽

Yu. Kuznetsov

Keyword(s):

Lagrange Multipliers ◽

Elliptic Problems ◽

Second Order ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Domain Method ◽

Second Order Elliptic Problems

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A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2017-0193 ◽

2018 ◽

Vol 10 (3) ◽

pp. 634-651

Author(s):

Qiaolin He and Xiaomin Lv

Keyword(s):

Boundary Conditions ◽

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

The Third ◽

Domain Method ◽

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Analysis of the Fictitious Domain Method with anL2-Penalty for Elliptic Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1013554 ◽

2015 ◽

Vol 36 (4) ◽

pp. 501-527 ◽

Author(s):

Norikazu Saito ◽

Guanyu Zhou

Keyword(s):

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1317 ◽

2010 ◽

Vol 26 (3-4) ◽

pp. 290-304 ◽

Author(s):

Tong Wang ◽

Tsorng-Whay Pan ◽

Roland Glowinski

Keyword(s):

Viscous Flow ◽

External Pressure ◽

Elastic Tube ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Uniform External Pressure ◽

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Application of algebraic fictitious domain method to the solution of 3D electromagnetic scattering problems

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1997.12.3.211 ◽

1997 ◽

Vol 12 (3) ◽

Author(s):

A. N. BESPALOV

Keyword(s):

Electromagnetic Scattering ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Scattering Problems ◽

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A version of the fictitious-domain method

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90158-9 ◽

1988 ◽

Vol 28 (2) ◽

pp. 134-139

Author(s):

G.L. Siganevich

Keyword(s):

Fictitious Domain ◽

Fictitious Domain Method ◽

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An optimal adaptive Fictitious Domain Method

Mathematics of Computation ◽

10.1090/mcom/3414 ◽

2019 ◽

Vol 88 (319) ◽

pp. 2101-2134 ◽

Author(s):

Stefano Berrone ◽

Andrea Bonito ◽

Rob Stevenson ◽

Marco Verani

Keyword(s):

Fictitious Domain ◽

Fictitious Domain Method ◽

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