Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems
From MaRDI portal
Publication:5069821
zbMath1499.65684arXiv2011.12377MaRDI QIDQ5069821
Publication date: 19 April 2022
Full work available at URL: https://arxiv.org/abs/2011.12377
Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) 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) Second-order elliptic equations (35J15) Strong solutions to PDEs (35D35) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Related Items (3)
A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition ⋮ Curved elements in weak Galerkin finite element methods ⋮ Generalized weak Galerkin finite element methods for biharmonic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for stabilized finite element methods applied to ill-posed problems
- A primal-dual finite element method for first-order transport problems
- The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
- A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data
- An implicit shift bidiagonalization algorithm for ill-posed systems
- An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
- Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
- Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
- Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
- Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations
- New primal-dual weak Galerkin finite element methods for convection-diffusion problems
- Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation
- A new primal-dual weak Galerkin finite element method for ill-posed elliptic Cauchy problems
- A meshless method for some inverse problems associated with the Helmholtz equation
- Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
- The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
- Solution of the Cauchy problem using iterated Tikhonov regularization
- Increased stability in the continuation of solutions to the Helmholtz equation
- A weak Galerkin mixed finite element method for second order elliptic problems
- On Cauchy's problem: I. A variational Steklov–Poincaré theory
- Solving Cauchy problems by minimizing an energy-like functional
- Why is the Cauchy problem severely ill-posed?
- Numerical solution of an inverse 2D Cauchy problem connected with the Helmholtz equation
- 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
- Local estimation for an integral equation of first kind with analytic kernel
- Stable determination of a crack from boundary measurements
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- Stability for an inverse boundary problem of determining a part of a boundary
- Numerical solution of the sideways heat equation by difference approximation in time
- A Primal-Dual Weak Galerkin Finite Element Method for Fokker--Planck Type Equations
- Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations
- On level set type methods for elliptic Cauchy problems
- 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
- Inverse problems for partial differential equations
This page was built for publication: Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems
