Copertina

Least SQuares Discretizations (LSQD): a robust and versatile meshless paradigm for solving elliptic PDEs

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Kucherova, Anna, Terasaki, Gbocho M., Strango, Selma, Theillard, Maxime
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Characteristic Bending in Incompressible Flows
di: Blomquist, Matthew, et al.
Pubblicazione: (2025)

Stable nodal projection method on octree grids
di: Blomquist, Matthew, et al.
Pubblicazione: (2023)

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
di: Xu, Zhihang, et al.
Pubblicazione: (2025)

$hp$-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs
di: Innerberger, Michael, et al.
Pubblicazione: (2022)

A meshless generalized finite difference method for solving the Stokes-Darcy coupled problem in static and moving systems
di: Xing, Yanan, et al.
Pubblicazione: (2025)

A meshless geometric conservation weighted least square method for solving the shallow water equations
di: Satyaprasad, D., et al.
Pubblicazione: (2024)

Higher-order meshless schemes for hyperbolic equations
di: Willems, Klaas, et al.
Pubblicazione: (2025)

Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs
di: Hong, Youngjoon, et al.
Pubblicazione: (2024)

3D Surface Reconstruction and Volume Approximation via the meshless methods
di: Li, T., et al.
Pubblicazione: (2025)

Compact LABFM: a framework for meshless methods with spectral-like resolving power
di: Broadley, Henry M., et al.
Pubblicazione: (2026)

Sharp Collocated Projection Method for Immiscible Two-Phase Flows
di: Binswanger, Adam L., et al.
Pubblicazione: (2025)

Convergence and error control of consistent PINNs for elliptic PDEs
di: Bonito, Andrea, et al.
Pubblicazione: (2024)

Spatially-varying meshless approximation method for enhanced computational efficiency
di: Jančič, Mitja, et al.
Pubblicazione: (2023)

Polyhedral Discretizations for Elliptic PDEs
di: Liu, Junyu, et al.
Pubblicazione: (2024)

Functional tensor train neural network for solving high-dimensional PDEs
di: Feng, Yani, et al.
Pubblicazione: (2025)

Generalized Moving Least-Squares Methods for Solving Vector-valued PDEs on Unknown Manifolds
di: Li, Rongji, et al.
Pubblicazione: (2024)

An iterative method for solving elliptic BVP in one-dimension
di: Zelaya, Christian O. Bernal, et al.
Pubblicazione: (2024)

LRBF meshless methods for predicting soil moisture distribution in root zone
di: Boujoudar, Mohamed, et al.
Pubblicazione: (2024)

Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
di: Hao, Wenrui, et al.
Pubblicazione: (2023)

Deep learning methods for stochastic Galerkin approximations of elliptic random PDEs
di: Musco, Fabio, et al.
Pubblicazione: (2024)

Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients
di: Gilbert, Alexander D., et al.
Pubblicazione: (2025)

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
di: Xu, Zhi-Qin John, et al.
Pubblicazione: (2025)

Learning local Dirichlet-to-Neumann maps of nonlinear elliptic PDEs with rough coefficients
di: Boutilier, Miranda, et al.
Pubblicazione: (2024)

Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
di: Brunner, Maximilian, et al.
Pubblicazione: (2024)

Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
di: Bringmann, Philipp, et al.
Pubblicazione: (2023)

Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian
di: Hao, Zhaopeng, et al.
Pubblicazione: (2024)

Pseudospectral method for solving PDEs using Matrix Product States
di: Gidi, Jorge, et al.
Pubblicazione: (2024)

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators
di: Aghili, Joubine, et al.
Pubblicazione: (2024)

Improved randomized neural network methods with boundary processing for solving elliptic equations
di: Zhou, Huifang, et al.
Pubblicazione: (2024)

Addressing the checkerboard problem in an Eulerian meshless method for incompressible flows
di: Bharadwaj, Anand S
Pubblicazione: (2023)

Accurate adaptive deep learning method for solving elliptic problems
di: Ying, Jingyong, et al.
Pubblicazione: (2024)

Validated integration of semilinear parabolic PDEs
di: Berg, Jan Bouwe van den, et al.
Pubblicazione: (2023)

Combining physics-informed graph neural network and finite difference for solving forward and inverse spatiotemporal PDEs
di: Zhang, Hao, et al.
Pubblicazione: (2024)

Analysis of a finite element method for second order uniformly elliptic PDEs in non-divergence form
di: Qiu, Weifeng
Pubblicazione: (2025)

A simple rigorous integrator for semilinear parabolic PDEs
di: Berg, Jan Bouwe van den, et al.
Pubblicazione: (2026)

Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs
di: Dũng, Dinh
Pubblicazione: (2019)

Spatially dependent node regularity in meshless approximation of partial differential equations
di: Rot, Miha, et al.
Pubblicazione: (2024)

A decoupled meshless Nyström scheme for 2D Fredholm integral equations of the second kind with smooth kernels
di: Esposti, Bruno Degli, et al.
Pubblicazione: (2025)

IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
di: Zheng, Jiachun, et al.
Pubblicazione: (2025)

Deep Energy Method with Large Language Model assistance: an open-source Streamlit-based platform for solving variational PDEs
di: Wang, Yizheng, et al.
Pubblicazione: (2026)