Summation-by-parts operators for general function spaces: The second derivative
Fuente:
arXiv
Saved in:
| Main Authors: | Glaubitz, Jan, Klein, Simon-Christian, Nordström, Jan, Öffner, Philipp |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023)
by: Montoya, Tristan, et al.
Published: (2023)
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
Efficient Entropy-Stable Discontinuous Spectral-Element Methods Using Tensor-Product Summation-by-Parts Operators on Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023)
by: Montoya, Tristan, et al.
Published: (2023)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
An efficient predictor-corrector approach with orthogonal spline collocation finite element technique for FitzHugh-Nagumo problem
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
by: Montoya, Tristan, et al.
Published: (2021)
by: Montoya, Tristan, et al.
Published: (2021)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)
by: Glaubitz, Jan, et al.
Published: (2025)
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)
by: Bermejo, Rodolfo, et al.
Published: (2024)
Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
by: Zhang, Jiansong, et al.
Published: (2025)
by: Zhang, Jiansong, et al.
Published: (2025)
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)
by: Glaubitz, Jan, et al.
Published: (2026)
A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems
by: Poveda, Leonardo A., et al.
Published: (2023)
by: Poveda, Leonardo A., et al.
Published: (2023)
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
by: Hicken, Jason, et al.
Published: (2024)
by: Hicken, Jason, et al.
Published: (2024)
A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations
by: Giesselmann, Jan, et al.
Published: (2026)
by: Giesselmann, Jan, et al.
Published: (2026)
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
by: Reyes, Jorge, et al.
Published: (2024)
by: Reyes, Jorge, et al.
Published: (2024)
Nodal finite element approximation of peridynamics
by: Jha, Prashant K., et al.
Published: (2024)
by: Jha, Prashant K., et al.
Published: (2024)
Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
by: Lee, Jeonghun J.
Published: (2019)
by: Lee, Jeonghun J.
Published: (2019)
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
by: Diening, Lars, et al.
Published: (2025)
by: Diening, Lars, et al.
Published: (2025)
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
by: Hiemstra, Rene, et al.
Published: (2023)
by: Hiemstra, Rene, et al.
Published: (2023)
Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations
by: Ferrari, Matteo, et al.
Published: (2026)
by: Ferrari, Matteo, et al.
Published: (2026)
An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)
by: Melenk, Jens Markus, et al.
Published: (2022)
Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
by: Wang, Bin, et al.
Published: (2022)
by: Wang, Bin, et al.
Published: (2022)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003)
by: Tadmor, Eitan
Published: (2003)
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)
by: Gjesteland, Anita, et al.
Published: (2026)
Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
by: Bucelli, Michele, et al.
Published: (2024)
by: Bucelli, Michele, et al.
Published: (2024)
Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2026)
by: Xie, Zhengrong
Published: (2026)
Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2025)
by: Xie, Zhengrong
Published: (2025)
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
by: Petri, Louis, et al.
Published: (2025)
by: Petri, Louis, et al.
Published: (2025)
An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes
by: Birke, Gunnar, et al.
Published: (2026)
by: Birke, Gunnar, et al.
Published: (2026)
Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces
by: Sun, Zhengjie, et al.
Published: (2023)
by: Sun, Zhengjie, et al.
Published: (2023)
A Bernoulli-barycentric rational matrix collocation method with preconditioning for a class of evolutionary PDEs
by: Luo, Wei-Hua, et al.
Published: (2024)
by: Luo, Wei-Hua, et al.
Published: (2024)
An explicit construction of optimized interpolation points on the 4-simplex
by: Gobel, Trenton J., et al.
Published: (2024)
by: Gobel, Trenton J., et al.
Published: (2024)
Similar Items
-
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024) -
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024) -
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026) -
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023) -
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)