Crack Singularities for General Elliptic Systems

By Martin Costabel, Monique Dauge. 2002

77 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/83c740b9a2909eca25a28cd372a47519f3742e94

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. A. Mazzucato
2. Victor Nistor
3. R. Duduchava
4. Monique Dauge
5. Martin Costabel
6. Eric Bonnetier
7. Faouzi Triki

In Computational Theory and Mathematics

1. A. Mazzucato
2. Victor Nistor
3. R. Duduchava
4. Monique Dauge
5. Martin Costabel
6. Hengguang Li

In Mechanics of Materials

1. R. Duduchava
2. Monique Dauge
3. Martin Costabel
4. Victor Nistor
5. A. Mazzucato
6. Faouzi Triki
7. Eric Bonnetier

Citations in the corpus

• Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks (2010, background): “” The literature is very vast and we would like to mention [3, 5, 14, 23, 24, 27, 29, 38, 39, 40, 49, 50, 51, 58, 59, 71, 73, 76], which contain results relevant for the elasticity on domains with cracks.”
• Asymptotics Without Logarithmic Terms for Crack Problems (2003, methodology): “Since the pole of nð Þ 1 is of order 1, see Costabel and Dauge (2002), and since by construction, the columns of W½x0 ð Þ belong to the special space H 0 of homogeneous functions, we have obtained Lemma C.4.”
• Numerical Approximation of Fractional Powers of Regularly Accretive Operators (2015, unknown): “Such results for boundary value problems have been studied by many authors [3, 19, 20, 25, 32, 34, 33, 40, 41].”