Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method
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Publication:5123987
DOI10.1137/19M1281721zbMath1451.65213arXiv1908.05580OpenAlexW3048637438MaRDI QIDQ5123987
Matthew W. Scroggs, Erik Burman, Stefan Frei
Publication date: 17 September 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.05580
Numerical methods for integral equations (65R20) Contact in solid mechanics (74M15) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
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- An augmented Lagrangian method for the Signorini boundary value problem with BEM
- A priori error estimates forhppenalty BEM for contact problems in elasticity
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- On the boundary element method for the Signorini problem of the Laplacian
- On a generalized \(L_2\) projection and some related stability estimates in Sobolev spaces
- Time domain boundary elements for dynamic contact problems
- Boundary element methods for variational inequalities
- Adaptive \(hp\)-versions of BEM for Signorini problems
- A projection iterative algorithm boundary element method for the Signorini problem
- 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)
- A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- A Direct Boundary Element Method for Signorini Problems
- Boundary element solution of the dirichlet-signorini problem by a penalty method
- The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
- Product Algebras for Galerkin Discretisations of Boundary Integral Operators and their Applications
- Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments
- Boundary Element Methods with Weakly Imposed Boundary Conditions
- Variational inequalities
- A dual finite element complex on the barycentric refinement
