Nitsche's Method for Kirchhoff Plates
Abstract
Domain fit: Niche / domain-specific · No strong AI-core implementation/artifact signals were detected from current providers.
We introduce a 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.
Results and benchmarks
We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions.
Benchmark evidence is limited
Evidence graph: 2 refs, 1 links.
Utility signals: depth 65/100, grounding 58/100, status medium.
Implementation
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- Start from related paper: Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates.
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Time to first repro: a few days
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Reproduction readiness
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Hardware requirements
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Validation caveat
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Research context
11
Citations
20
References
Tasks
A priori and a posteriori, Boundary (topology), Numerical approximation, Mathematical analysis, Numerical analysis, Calculus (dental), Nitsche's method, Kirchhoff plates
Methods
None detected
Domains
Mathematics, Applied mathematics
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