Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
From MaRDI portal
Publication:2004553
DOI10.1016/j.camwa.2019.07.031zbMath1443.65374arXiv1806.01583OpenAlexW2970602368MaRDI QIDQ2004553
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.01583
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
Related Items (18)
A primal-dual finite element method for transport equations in non-divergence form ⋮ A new numerical method for div-curl systems with low regularity assumptions ⋮ A simplified primal‐dual weak Galerkin finite element method for Fokker–Planck‐type equations ⋮ A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition ⋮ Curved elements in weak Galerkin finite element methods ⋮ An extended \(P_1\)-nonconforming finite element method on general polytopal partitions ⋮ An \(L^p\)-primal-dual finite element method for first-order transport problems ⋮ Generalized weak Galerkin finite element methods for biharmonic equations ⋮ Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems ⋮ A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems ⋮ A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation ⋮ Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches ⋮ A spectral collocation technique for Riesz fractional Chen-Lee-Liu equation ⋮ Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations ⋮ Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations ⋮ A primal-dual finite element method for first-order transport problems ⋮ A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions ⋮ An \(L^p\)-primal-dual weak Galerkin method for div-curl systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for stabilized finite element methods applied to ill-posed 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
- Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation
- 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
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity
- The finite element method with Lagrangian multipliers
- Integral equations for inverse problems in corrosion detection from partial Cauchy data
- 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?
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- 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
- Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- 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: Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems
