A bivariate spline method for second order elliptic equations in non-divergence form
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Publication:1635871
DOI10.1007/S10915-017-0562-0zbMath1398.65304arXiv1610.05746OpenAlexW2536116556MaRDI QIDQ1635871
Publication date: 1 June 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05746
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)
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A new \(H^2\) regularity condition of the solution to Dirichlet problem of the Poisson equation and its applications ⋮ A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations
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Cites Work
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- Discontinuous Galerkin finite element methods for time-dependent Hamilton-Jacobi-Bellman equations with Cordes coefficients
- Robustness of a spline element method with constraints
- Bivariate splines for fluid flows
- Spline element method for Monge-Ampère equations
- Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains
- Boundary value problems for the Laplacian in convex and semiconvex domains
- Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton-Jacobi-Bellman equations
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- The finite element method with Lagrangian multipliers
- Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation
- Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients
- Spline Functions
- A weak Galerkin mixed finite element method for second order elliptic problems
- Bivariate Splines of Various Degrees for Numerical Solution of Partial Differential Equations
- Spline Functions on Triangulations
- $L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
- Elliptic Partial Differential Equations of Second Order
- A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form
- Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
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