Cover Image

Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hangelbroek, Thomas, Narcowich, Francis J., Ward, Joseph D.
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65D12 (Primary) 65D15, 65N06, 65N12 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)

Underdetermined Fourier Extensions for Surface Partial Differential Equations
by: Venn, Daniel R., et al.
Published: (2024)

Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences
by: Hu, Shuaifei, et al.
Published: (2025)

Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
by: Mohammadi, Maryam, et al.
Published: (2025)

Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors
by: Gander, Martin J., et al.
Published: (2025)

Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)

A Fully Discrete Surface Finite Element Method for the Navier--Stokes equations on Evolving Surfaces with prescribed Normal Velocity
by: Elliott, Charles M., et al.
Published: (2025)

Error estimates for the patch bubble method for convection-dominated channel flow problem
by: Bänsch, Eberhard, et al.
Published: (2026)

Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity
by: Sommariva, Alvise, et al.
Published: (2024)

SFEM for the Lagrangian formulation of the surface Stokes problem
by: Elliott, Charles M., et al.
Published: (2024)

SFEM for the unsteady Navier-Stokes Equations on a stationary surface
by: Elliott, Charles M., et al.
Published: (2025)

Nonconforming $hp$-FE/BE coupling on unstructured meshes based on Nitsche's method
by: Chernov, Alexey, et al.
Published: (2026)

On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
by: Bercik, Alex, et al.
Published: (2026)

Broken-FEEC on multipatch domains with local refinements
by: Pinto, Martin Campos, et al.
Published: (2025)

Proving the stability estimates of variational least-squares Kernel-Based methods
by: Chen, Meng, et al.
Published: (2023)

An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures
by: Larsson, Elisabeth, et al.
Published: (2024)

Fourier Beyond Dispersion: Wavenumber Explicit and Precise Accuracy of FDMs for the Helmholtz Equation
by: Zhang, Hui
Published: (2024)

Monotonicity of $Q^3$ spectral element method for discrete Laplacian
by: Cross, Logan J., et al.
Published: (2020)

A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2024)

A high order correction to the Lax-Friedrich's method for approximating stationary Hamilton-Jacobi equations
by: Lewis, T., et al.
Published: (2025)

Numerical moment stabilization of central difference approximations for linear stationary reaction-convection-diffusion equations with applications to stationary Hamilton-Jacobi equations
by: Lewis, T., et al.
Published: (2025)

A High-Order Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2025)

Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems
by: Carstensen, C., et al.
Published: (2020)

Convergent adaptive hybrid higher-order schemes for convex minimization
by: Carstensen, Carsten, et al.
Published: (2021)

Patch bubbles for advection-dominated steady and unsteady problems
by: Bänsch, Eberhard, et al.
Published: (2025)

High-Order Meshfree Surface Integration, Including Singular Integrands
by: Venn, Daniel R., et al.
Published: (2025)

Using the Immersed Penalized Boundary Method with Splines to Solve PDE's on Curved Domains in 3D
by: Greene, Aussie, et al.
Published: (2025)

Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)

Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
by: Lederer, Philip L., et al.
Published: (2026)

Convergence of adaptive stochastic collocation with finite elements
by: Feischl, Michael, et al.
Published: (2020)

On the Pre-Asymptotic Stability and Inverse Structure of Extended-Domain Spectral Methods
by: Wu, Po-Yi
Published: (2025)

Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains
by: Han, Bin, et al.
Published: (2025)

Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces
by: Sun, Zhengjie, et al.
Published: (2023)

A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
by: Li, Jianan, et al.
Published: (2026)

Finite element analysis for a Herrmann pressure formulation of the elastoacoustic problem with variable coefficients
by: Khan, Arbaz, et al.
Published: (2025)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
by: da Veiga, Lourenço Beirão, et al.
Published: (2021)

A multiscale approach to the stationary Ginzburg-Landau equations of superconductivity
by: Döding, Christian, et al.
Published: (2024)

Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
by: Colmenares, Eligio, et al.
Published: (2026)

The Closest Point Method for Surface PDEs with General Boundary Conditions
by: Wong, Tony, et al.
Published: (2025)

Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud
by: Dong, Guozhi, et al.
Published: (2020)