Optimization of multidimensional diagonal-norm summation-by-parts operators on simplices
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Publication:777586
DOI10.1016/j.jcp.2020.109380zbMath1436.65107OpenAlexW3012513449MaRDI QIDQ777586
David W. Zingg, André L. Marchildon
Publication date: 7 July 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109380
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical integration (65D30)
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Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators, Unisolvency for polynomial interpolation in simplices with symmetrical nodal distributions
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Cites Work
- Optimal diagonal-norm SBP operators
- Review of summation-by-parts schemes for initial-boundary-value problems
- A generalized framework for nodal first derivative summation-by-parts operators
- Summation-by-parts operators and high-order quadrature
- An analysis of solution point coordinates for flux reconstruction schemes on triangular elements
- Exact integrations of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids
- On coordinate transformations for summation-by-parts operators
- Conservative and stable degree preserving SBP operators for non-conforming meshes
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
- Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements
- Simultaneous approximation terms for multi-dimensional summation-by-parts operators
- Advances in multidimensional integration
- On the identification of symmetric quadrature rules for finite element methods
- An analysis of solution point coordinates for flux reconstruction schemes on tetrahedral elements
- Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates
- Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates
- Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
- Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
- Bounds for the Spectral Radius of a Matrix
- A Cardinal Function Algorithm for Computing Multivariate Quadrature Points
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- Finite Difference Approximation for Pricing the American Lookback Option
