Summation-by-Parts Operators for Non-Simply Connected Domains
DOI10.1137/18M1163671zbMath1450.65083OpenAlexW2511951882WikidataQ129875664 ScholiaQ129875664MaRDI QIDQ4641607
Publication date: 18 May 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1163671
stabilityboundary conditionswell-posednessinitial boundary value problemscomplex geometriesnon-simply connected domains
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Summation-by-parts in time
- Review of summation-by-parts schemes for initial-boundary-value problems
- The SBP-SAT technique for initial value problems
- Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains
- On the Kronecker products and their applications
- A hybrid method for unsteady inviscid fluid flow
- Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- Summation by parts for finite difference approximations for \(d/dx\)
- The ubiquitous Kronecker product
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation
- Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods
- A stable and efficient hybrid scheme for viscous problems in complex geometries
- Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
- A stable hybrid method for hyperbolic problems
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
- The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
- Symmetrization of the Fluid Dynamic Matrices with Applications
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Hole-Cutting for Three-Dimensional Overlapping Grids
- Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods
- High Order Difference Methods for Time Dependent PDE
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
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