Cover Image

A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Xia, Qing
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Computational Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Unfitted boundary algebraic equation method based on difference potentials and lattice Green's function in 3D
by: Xia, Qing
Published: (2025)

A localized reduced basis approach for unfitted domain methods on parameterized geometries
by: Chasapi, Margarita, et al.
Published: (2022)

An immersed boundary method for the discrete velocity model of the Boltzmann equation
by: Ge, Longqing, et al.
Published: (2025)

High order unfitted finite element discretizations for explicit boundary representations
by: Martorell, Pere A., et al.
Published: (2023)

Virtual element methods based on boundary triangulation:fitted and unfitted meshes
by: Guo, Ruchi
Published: (2024)

A robust fourth-order finite-difference discretization for the strongly anisotropic transport equation in magnetized plasmas
by: Chacon, L., et al.
Published: (2024)

Numerical solution of the time fractional nonlinear Fisher-KPP diffusion-reaction equation using the local domain boundary element method
by: Gortsas, Theodore V.
Published: (2025)

A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems
by: Ebrahimi, Mehran, et al.
Published: (2025)

A mesh-constrained discrete point method for incompressible flows with moving boundaries
by: Matsuda, Takeharu, et al.
Published: (2024)

A Cartesian grid-based boundary integral method for moving interface problems
by: Zhou, Han, et al.
Published: (2023)

Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform
by: Hou, Wei, et al.
Published: (2024)

Fourth- and higher-order finite element methods for the incompressible Navier-Stokes equations with Dirichlet boundary conditions
by: Li, Yang, et al.
Published: (2025)

Transparent boundary condition and its effectively local approximation for the Schrödinger equation on a rectangular computational domain
by: Yadav, Samardhi, et al.
Published: (2024)

Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes
by: Torres-Hernandez, A., et al.
Published: (2020)

Stabilization and Operator Preconditioning of Bulk--Surface CutFEM via Harmonic Extension
by: Xia, Qing
Published: (2026)

STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
by: Martorell, Pere A., et al.
Published: (2024)

A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
by: Barham, William, et al.
Published: (2024)

Reduced basis solvers for unfitted methods on parameterized domains
by: Mueller, Nicholas, et al.
Published: (2025)

Trapped acoustic waves and raindrops: high-order accurate integral equation method for localized excitation of a periodic staircase
by: Agocs, Fruzsina J., et al.
Published: (2023)

High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomials correction
by: Boscheri, Walter, et al.
Published: (2025)

Corner cases of the tau method: symmetrically imposing boundary conditions on hypercubes
by: Burns, Keaton J., et al.
Published: (2022)

Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
by: Coco, Armando, et al.
Published: (2026)

A boundary integral method for wave scattering in a heterogeneous medium with a moving obstacle
by: Ramani, Raaghav
Published: (2026)

ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
by: Zhou, Han, et al.
Published: (2023)

An asymptotically compatible unfitted finite element methods for nonlocal elliptic Interfaces: local limits and sharp error estimates
by: Dong, Haixia, et al.
Published: (2025)

A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions
by: Shen, Changxiao Nigel, et al.
Published: (2024)

A structure-preserving collisional particle method for the Landau kinetic equation
by: Du, Kai, et al.
Published: (2024)

A robustness-enhanced reconstruction based on discontinuity feedback factor for high-order finite volume scheme
by: Zhang, Hong, et al.
Published: (2024)

Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
by: Chen, Gang, et al.
Published: (2025)

Iterative methods of linearized moment equations for rarefied gases
by: Dong, Xiaoyu, et al.
Published: (2023)

A fourth-order accurate compact difference scheme for solving the three-dimensional Poisson equation with arbitrary boundaries
by: Hosseinverdi, Shirzad, et al.
Published: (2019)

A finite element method for stochastic diffusion equations using fluctuating hydrodynamics
by: Martínez-Lera, P., et al.
Published: (2023)

A linearly-implicit energy-momentum preserving scheme for geometrically nonlinear mechanics based on non-canonical Hamiltonian formulations
by: Brugnoli, Andrea, et al.
Published: (2025)

Collocation methods for nonlinear differential equations on low-rank manifolds
by: Dektor, Alec
Published: (2024)

An unfitted divergence-free higher order finite element method for the Stokes problem
by: Neilan, Michael, et al.
Published: (2025)

An unfitted finite element method for elliptic interface problem with low regularity estimates
by: Yang, Fanyi
Published: (2026)

Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
by: Lehrenfeld, Christoph, et al.
Published: (2023)

Transparent boundary condition and its high frequency approximation for the Schrödinger equation on a rectangular computational domain
by: Yadav, Samardhi, et al.
Published: (2024)

A time-splitting Fourier pseudospectral method for the Wigner(-Poisson)-Fokker-Planck equations
by: Yi, Qian, et al.
Published: (2025)

Weighted balanced truncation method for approximating kernel functions by exponentials
by: Lin, Yuanshen, et al.
Published: (2025)