A \(C^0\) finite element approximation of planar oblique derivative problems in non-divergence form
DOI10.1016/j.cam.2023.115146zbMath1514.65169arXiv2206.12880OpenAlexW4321460359MaRDI QIDQ6099527
Publication date: 20 June 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.12880
oblique derivative problemselliptic PDEs in non-divergence form\(C^0\) (non-Lagrange) finite element methodscordes condition
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) Second-order elliptic equations (35J15) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
- Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition
- Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form
- Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes
- A global solution to a two-dimensional Riemann problem involving shocks as free boundaries
- Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations
- Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients
- \(C^0\) finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients
- Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients
- A Finite Element Method for Nonlinear Elliptic Problems
- Finite element methods for second order linear elliptic partial differential equations in non-divergence form
- A Finite Element Method for Second Order Nonvariational Elliptic Problems
- Optimal Finite-Element Interpolation on Curved Domains
- On the second boundary value problem for equations of Monge-Ampère type.
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- Numerical approximation of planar oblique derivative problems in nondivergence form
- Mixed Finite Element Approximation of the Hamilton--Jacobi--Bellman Equation with Cordes Coefficients
- A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems
- Curved Elements in the Finite Element Method. I
- Unified analysis of discontinuous Galerkin andC0-interior penalty finite element methods for Hamilton–Jacobi–Bellman and Isaacs equations
- Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form
- A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains
- Variational Formulation and Numerical Analysis of Linear Elliptic Equations in Nondivergence form with Cordes Coefficients
- The Poincaré Problem inLp-Sobolev Spaces II: Full Dimension Degeneracy
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
