Weighted analytic regularity in polyhedra
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Publication:316558
DOI10.1016/j.camwa.2013.03.006zbMath1352.35024OpenAlexW2037283680MaRDI QIDQ316558
Martin Costabel, Serge Nicaise, Monique Dauge
Publication date: 27 September 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.03.006
weighted Sobolev spacescorner singularitiesanalytic regularitysecond order linear elliptic boundary value problems
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- The \(h\)-\(p\) version of the coupling of finite element and boundary element methods for transmission problems in polyhedral domains
- On the regularity of elasticity problems with piecewise analytic data
- Approximation properties of the \(h\)-\(p\) version of the finite element method
- Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron.
- Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures
- Algebraic convergence for anisotropic edge elements in polyhedral domains
- ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA
- Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3, Part I: countably normed spaces on polyhedral domains
- Weighted spaces with nonhomogeneous norms and boundary value problems in domains with conical points
- On the analyticity of the solutions of linear elliptic systems of partial differential equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3. Part II: Regularity in neighbourhoods of edges
- Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones
- EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
