Mortar Boundary Elements
نویسندگان
چکیده
We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm the theory.
منابع مشابه
A segmentation-free isogeometric extended mortar contact method
This paper presents a new isogeometric mortar contact formulation based on an extended finite element interpolation to capture physical pressure discontinuities at the contact boundary. The so called two-half-pass algorithm is employed, which leads to an unbiased formulation and, when applied to the mortar setting, has the additional advantage that the mortar coupling term is no longer present ...
متن کاملThe Coupling of Mixed and Conforming Finite Element Discretizations
In this paper, we introduce and analyze a special mortar finite element method. We restrict ourselves to the case of two disjoint subdomains, and use RaviartThomas finite elements in one subdomain and conforming finite elements in the other. In particular, this might be interesting for the coupling of different models and materials. Because of the different role of Dirichlet and Neumann boundar...
متن کاملA Mortar Finite Element Method for Plate Problems
In the paper we discuss two versions of mortar finite element methods applied to clamped plate problems. The problems are approximated by the nonconforming Morley and Adini element methods in each subregion into which the original region of the discussed problems have been partitioned. On the interfaces between subdomains and at crosspoints of subregions some continuity conditions are imposed. ...
متن کاملAn a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods
In this paper we analyze the coupling of local discontinuous Galerkin (LDG) and boundary element methods as applied to linear exterior boundary value problems in the plane. As a model problem we consider a Poisson equation in an annular polygonal domain coupled with a Laplace equation in the surrounding unbounded exterior region. The technique resembles the usual coupling of finite elements and...
متن کاملNumerische Mathematik Manuscript No. a Residual Based Error Estimator for Mortar Nite Element Discretizations
The date of receipt and acceptance will be inserted by the editor Summary A residual based error estimator for the approximation of linear elliptic boundary value problems by nonconforming nite element methods is introduced and analyzed. In particular, we consider mortar nite element techniques. restricting ourselves to geometrically conforming domain decomposition methods using P1 approximatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 48 شماره
صفحات -
تاریخ انتشار 2010