On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data

DOI10.1134/S1064562414060155zbMath1308.35059MaRDI QIDQ2254106

Victor Anatolievich Rukavishnikov

Publication date: 4 February 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted function spacessingularity points

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75)

Related Items (9)

Algorithm for Processing the Results of Calculations for Determining the Body of Optimal Parameters in the Weighted Finite Element Method ⋮ Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity ⋮ Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy ⋮ On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity ⋮ Weighted finite element method and body of optimal parameters for elasticity problem with singularity ⋮ Unnamed Item ⋮ Weighted finite element method for the Stokes problem with corner singularity ⋮ New Approximate Method for Solving the Stokes Problem in a Domain with Corner Singularity ⋮ Existence and uniqueness of an \(R_ \nu\)-generalized solution of the Dirichlet problem for the Lamé system with a corner singularity

Cites Work

• Weighted finite element method for an elasticity problem with singularity
• New numerical method for solving time-harmonic Maxwell equations with strong singularity
• The finite element method for a boundary value problem with strong singularity
• Weighted edge finite element method for Maxwell's equations with strong singularity
• Coercive estimate for a boundary value problem with noncoordinated degeneration of the data
• On the coercivity of the \(R_{v}\)-generalized solution of the first boundary value problem with coordinated degeneration of the input data
• Methods of numerical analysis for boundary value problems with strong singularity
• On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space

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