A partition of unity construction of the stabilization function in Nitsche's method for variational problems

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Algorithms for approximation of functions (65D15)

Cites Work

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A parallel multilevel partition of unity method for elliptic partial differential equations
A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
A note on the stability parameter in Nitsche's method for unfitted boundary value problems
Nitsche's method for linear Kirchhoff-Love shells: formulation, error analysis, and verification
The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
An overview of recent results on Nitsche's method for contact problems
A particle-partition of unity method. II: Efficient cover construction and reliable integration
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Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
An efficient finite element method for embedded interface problems
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A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
A fictitious domain method for frictionless contact problems in elasticity using Nitsche’s method
Galerkin Finite Element Methods for Parabolic Problems