Stabilized mixed hp-BEM for frictional contact problems in linear elasticity
نویسندگان
چکیده
منابع مشابه
Stabilized mixed hp-BEM for frictional contact problems in linear elasticity
We analyze stabilized mixed hp-boundary element methods for frictional contact problems for the Lamé equation. The stabilization technique circumvents the discrete inf-sup condition for the mixed problem and thus allows us to use the same mesh and polynomial degree for the primal and dual variables. We prove a priori convergence rates in the case of Tresca friction, using Gauss-Legendre-Lagrang...
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A mixed formulation for a Tresca frictional contact problem in linear elasticity is considered in the context of boundary integral equations, which is later extended to Coulomb friction . The discrete Lagrange multiplier, an approximation of the surface traction on the contact boundary part, is a linear combination of biorthogonal basis functions. In case of curved elements, these are the solut...
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We present an a priori analysis of the hp-version of the finite element method for the primal formulation of frictional contact in linear elasticity. We introduce a new limiting case estimate for the interpolation error at Gauss and Gauss-Lobatto quadrature points. An hp-adaptive strategy is presented; numerical results shows that this strategy can lead to exponential convergence.
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2016
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-016-0797-y