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pro vyhledávání: '"Banz, Lothar"'
In this paper, we derive a priori error estimates for variational inequalities of the first kind in an abstract framework. This is done by combining the first Strang Lemma and the Falk Theorem. The main application consists in the derivation of a pri
Externí odkaz:
http://arxiv.org/abs/2410.22052
Publikováno v:
In Applied Numerical Mathematics March 2025 209:38-54
Akademický článek
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We improve the residual based stabilization technique for Signorini contact problems with Tresca friction in linear elasticity solved with $hp$-mixed BEM which has been recently analyzed by Banz et al.~in Numer.~Math.~135 (2017) pp.~217--263. The sta
Externí odkaz:
http://arxiv.org/abs/1812.04691
Autor:
Banz, Lothar, Stephan, Ernst P.
Publikováno v:
Numerische Mathematik; Oct2024, Vol. 156 Issue 5, p1679-1718, 40p
Autor:
Ovcharova, Nina, Banz, Lothar
In this paper, we couple regularization techniques with the adaptive $hp$-version of the boundary element method ($hp$-BEM) for the efficient numerical solution of linear elastic problems with nonmonotone contact boundary conditions. As a model examp
Externí odkaz:
http://arxiv.org/abs/1510.06343
Publikováno v:
revised version published in Numerische Mathematik 135 (2017), 217 - 263
We investigate hp-stabilization for variational inequalities and boundary element methods based on the approach introduced by Barbosa and Hughes for finite elements. Convergence of a stabilized mixed boundary element method is shown for unilateral fr
Externí odkaz:
http://arxiv.org/abs/1407.1803
Publikováno v:
Studia geophysica et geodaetica 58 (2014), 489 - 504
We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational potential and the gravity vector. Our solution procedure solves a sequen
Externí odkaz:
http://arxiv.org/abs/1308.2562
Publikováno v:
In Computers and Mathematics with Applications 1 October 2018 76(7):1639-1660