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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
Autor:
Banz, Lothar, Stephan, Ernst P.
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2016 295:92-102
Autor:
Banz, Lothar1 (AUTHOR), Ilyas, Muhammad2 (AUTHOR), Lamichhane, Bishnu P.2 (AUTHOR) blamichha@gmail.com, McLean, William3 (AUTHOR), Stephan, Ernst P.4 (AUTHOR)
Publikováno v:
Numerical Methods for Partial Differential Equations. May2021, Vol. 37 Issue 3, p2429-2445. 17p.