Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 43, Issue 3, Pages A1651-A1670Publisher
SIAM PUBLICATIONS
DOI: 10.1137/20M1349801
Keywords
finite elements; Nitsche's method; Kirchhoff plate
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Funding
- Academy of Finland [324611]
- Portuguese government through FCT (Fundacao para a Ciencia e a Tecnologia), I.P. [PTDC/MAT-PUR/28686/2017, UTAP-EXPL/MAT/0017/2017]
- Fundação para a Ciência e a Tecnologia [UTAP-EXPL/MAT/0017/2017] Funding Source: FCT
- Academy of Finland (AKA) [324611, 324611] Funding Source: Academy of Finland (AKA)
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This paper introduces Nitsche's method for numerical approximation of the Kirchhoff-Love plate equation with general Robin-type boundary conditions. The method is analyzed by providing a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are presented to validate the approach and demonstrate its properties.
We introduce Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.
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