On the monotonicity of \(Q^3\) spectral element method for Laplacian
DOI10.4208/AAM.OA-2024-0007MaRDI QIDQ6662577
Logan J. Cross, Xiangxiong Zhang
Publication date: 14 January 2025
Published in: Annals of Applied Mathematics (Search for Journal in Brave)
monotonicityspectral element methoddiscrete maximum principlediscrete Laplacianhigh order accuracyinverse positivity
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) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
- Title not available (Why is that?)
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- Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems
- Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
- Compact finite difference schemes with spectral-like resolution
- Zur Inversmonotonie diskreter Probleme
- M-matrix characterizations. I: nonsingular M-matrices
- Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation
- Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations
- On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
- Discrete maximum principle for finite-difference operators
- The finite element methods for elliptic problems.
- A Primer on Radial Basis Functions with Applications to the Geosciences
- Superconvergence of quadratic finite elements on mildly structured grids
- Discrete maximum principle for higher-order finite elements in 1D
- A monotone finite element scheme for convection-diffusion equations
- A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations
- New Monotone Type Approximations for Elliptic Problems
- On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
- Fourth-Order Finite Difference Analogues of the Dirichlet Problem for Poisson's Equation in Three and Four Dimensions
- Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
- Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations
- Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations
- On the monotonicity of $Q^2$ spectral element method for Laplacian on quasi-uniform rectangular meshes
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