A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation
DOI10.1016/j.cam.2021.113767zbMath1490.65289OpenAlexW3195875345MaRDI QIDQ2231289
Shangyou Zhang, Peng Zhu, Xiu Ye, Xiao Shen Wang
Publication date: 29 September 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.2021.113767
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) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On the inverse potential problem of electrocardiology
- A weak Galerkin finite element method for second-order elliptic problems
- A stabilized nonconforming finite element method for the elliptic Cauchy problem
- An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems
- A Lower Bound of the $L^2$ Norm Error Estimate for the Adini Element of the Biharmonic Equation
- A new weak Galerkin finite element method for the Helmholtz equation
- A weak Galerkin mixed finite element method for second order elliptic problems
- Solving Cauchy problems by minimizing an energy-like functional
- Why is the Cauchy problem severely ill-posed?
- The stability for the Cauchy problem for elliptic equations
- Logarithmic Convexity for Discrete Harmonic Functions and the Approximation of the Cauchy Problem for Poisson's Equation
- An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
- Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation
- An inverse problem in corrosion detection
- Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes
- An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain
- A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations
- Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations
- A numerical method for a Cauchy problem for elliptic partial differential equations
- A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
- Convergence analysis for finite element approximation to an inverse Cauchy problem
- On Cauchy's problem: II. Completion, regularization and approximation
This page was built for publication: A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation