Hybrid finite element methods for the Signorini problem
نویسندگان
چکیده
منابع مشابه
Hybrid finite element methods for the Signorini problem
We study three mixed linear finite element methods for the numerical simulation of the two-dimensional Signorini problem. Applying Falk’s Lemma and saddle point theory to the resulting discrete mixed variational inequality allows us to state the convergence rate of each of them. Two of these finite elements provide optimal results under reasonable regularity assumptions on the Signorini solutio...
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The discretization of the dynamic Signorini problem with finite elements in space and a time-stepping scheme is not straightforward. Consequently a large variety of methods for this problem have been designed over the last two decades. Up to date, no systematic comparison of such methods has been performed. The aim of the present work is to classify and compare them. For each method, we discuss...
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Applying high order finite elements to unilateral contact variational inequalities may provide more accurate computed solutions, compared with linear finite elements. Up to now, there was no significant progress in the mathematical study of their performances. The main question is involved with the modeling of the nonpenetration Signorini condition on the discrete solution along the contact reg...
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and Applied Analysis 3 Let EI and EB be the set of interior edges and boundary edges of Th, respectively. Let E EI ∪ EB. Denote by v the restriction of v to Ki. Let e eij ∈ EI with i > j. Then we denote the jump v and the average {v} of v on e by v |e v ∣ ∣ ∣ e −v ∣ ∣ ∣ e , {v}|e 1 2 ( v ∣ ∣ ∣ e v ∣ ∣ ∣ e ) . 2.4 If e ei ∈ EB, we denote v and {v} of v on e by v |e {v}|e v ∣ ∣ ∣ e . 2.5
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2003
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-03-01490-x