ANALYSIS OF THE FINITE ELEMENT METHOD FOR TRANSMISSION/MIXED BOUNDARY VALUE PROBLEMS ON GENERAL POLYGONAL DOMAINS ∗

By Hengguang Li, A. Mazzucato, Victor Nistor. 2010

79 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6a309868599adf8b38575ae7330fe6b34e181c9e

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1. Hengguang Li
2. A. Mazzucato
3. Victor Nistor
4. Constantin Bacuta
5. Ludmil T. Zikatanov
6. Yoshihiro Sawano
7. Kwok-Pun Ho
8. M. Crainic

Citations in the corpus

• Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM (2009, methodology): “We shall thus concentrate our attention on the refinement of our meshes close to the interior singularities of V . Around the other points of S, we shall use the grading explained in [13, 41 ].”
• Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks (2010, background): “Therefore, the most physically motivated boundary problems in this case are transmission problems, which we considered for planar domains in [ 58 ].”
• Interface and mixed boundary value problems on $n$-dimensional polyhedral domains (2010, methodology): “See for example [7, 8, 48], where optimal rates of convergence were obtained for the Finite element method on 3D polyhedral domains and for 2D transmission problems using weighted Sobolev spaces.”