Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy
DOI10.1016/j.cam.2021.113841zbMath1477.65240OpenAlexW3202845304MaRDI QIDQ2667118
E. I. Rukavishnikova, Victor Anatolievich Rukavishnikov
Publication date: 24 November 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113841
finite element methodweighted Sobolev spaceerror estimateNikol'skij-Lizorkin problem with degeneracy
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Applications to the sciences (65Z05)
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Cites Work
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- New numerical method for solving time-harmonic Maxwell equations with strong singularity
- Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method
- An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
- Smoothed finite element methods (S-FEM): an overview and recent developments
- On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity
- The finite element method for a boundary value problem with strong singularity
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- A variational problem for an equation of elliptic type with degeneration on the boundary
- Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
- On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- On the isomorphic mapping of weighted spaces by an elliptic operator with degeneration on the domain boundary
- On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data
- Weighted finite element method for the Stokes problem with corner singularity
- An effective fracture analysis method based on the virtual crack closure-integral technique implemented in CS-FEM
- New numerical method for the rotation form of the Oseen problem with corner singularity
- Weighted edge finite element method for Maxwell's equations with strong singularity
- Time-dependent Maxwell's equations with charges in singular geometries
- Singular electromagnetic fields: inductive approach
- Novel adaptive meshfree integration techniques in meshless methods
- Optimal convergence analysis for the extended finite element method
- A Node-Based Smoothed eXtended Finite Element Method (NS-XFEM) for Fracture Analysis
- Methods of numerical analysis for boundary value problems with strong singularity
- A finite element method for crack growth without remeshing
- EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS
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