Copertina

A Fast Direct Solver for Elliptic PDEs on a Hierarchy of Adaptively Refined Quadtrees

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Chipman, Damyn, Calhoun, Donna, Burstedde, Carsten
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

SlabLU: A Two-Level Sparse Direct Solver for Elliptic PDEs
di: Yesypenko, Anna, et al.
Pubblicazione: (2022)

Fast Direct Solvers
di: Martinsson, Per-Gunnar, et al.
Pubblicazione: (2025)

Transolver: A Fast Transformer Solver for PDEs on General Geometries
di: Wu, Haixu, et al.
Pubblicazione: (2024)

High Accuracy Techniques Based Adaptive Finite Element Methods for Elliptic PDEs
di: Xiao, Jingjing, et al.
Pubblicazione: (2025)

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

A High-Order Fast Direct Solver for Surface PDEs on Triangles
di: Zavalani, Gentian
Pubblicazione: (2026)

Incorporating Local Hölder Regularity into PINNs for Solving Elliptic PDEs
di: Zhou, Qirui, et al.
Pubblicazione: (2025)

Consistent CutPINNs for Elliptic PDEs on Curved Level-Set Domains
di: Singh, Maneesh Kumar
Pubblicazione: (2026)

Sharpened PCG Iteration Bound for High-Contrast Heterogeneous Scalar Elliptic PDEs
di: Soliman, Philip, et al.
Pubblicazione: (2025)

An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes
di: Burstedde, Carsten, et al.
Pubblicazione: (2019)

Barron Space Representations for Elliptic PDEs with Homogeneous Boundary Conditions
di: Chen, Ziang, et al.
Pubblicazione: (2025)

Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
di: Chen, Ziang, et al.
Pubblicazione: (2026)

Predictive Moving Sample Method for Physics-Informed Neural Solvers of Time-Dependent PDEs
di: Xu, Beining, et al.
Pubblicazione: (2026)

A Machine Learning and Finite Element Framework for Inverse Elliptic PDEs via Dirichlet-to-Neumann Mapping
di: Park, Dabin, et al.
Pubblicazione: (2025)

Stable Mesh-Free Variational Radial Basis Function Approximation for Elliptic PDEs and Obstacle Problems
di: Le, Tan Phuong Dong, et al.
Pubblicazione: (2026)

Convergence Guarantees for Gradient-Based Training of Neural PDE Solvers: From Linear to Nonlinear PDEs
di: Zhao, Wei, et al.
Pubblicazione: (2025)

Holistic Physics Solver: Learning PDEs in a Unified Spectral-Physical Space
di: Yue, Xihang, et al.
Pubblicazione: (2024)

Adaptive Model Hierarchies for Multi-Query Scenarios
di: Kleikamp, Hendrik, et al.
Pubblicazione: (2024)

Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs
di: Lee, Youngkyu, et al.
Pubblicazione: (2025)

Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
di: Man, Hou, et al.
Pubblicazione: (2014)

Theory and Fast Learned Solver for $\ell^1$-TV Regularization
di: Liu, Xinling, et al.
Pubblicazione: (2024)

Supervised and Unsupervised Neural Network Solver for First Order Hyperbolic Nonlinear PDEs
di: Baba, Zakaria, et al.
Pubblicazione: (2026)

A Fast Solver for Tridiagonal Toeplitz Systems with Multiple Right-Hand Sides
di: Hasanbeigi, Shahin
Pubblicazione: (2024)

Enhanced BPINN Training Convergence in Solving General and Multi-scale Elliptic PDEs with Noise
di: Hou, Yilong, et al.
Pubblicazione: (2024)

Randomized Iterative Solver as Iterative Refinement: A Simple Fix Towards Backward Stability
di: Xu, Ruihan, et al.
Pubblicazione: (2024)

DDC-PINNs: A Predictor-Corrector Approach Based on Neural Network-Driven Domain Decomposition and Classical ODE Solvers for Time-Dependent PDEs
di: Yang, Xun, et al.
Pubblicazione: (2025)

Adaptive-Growth Randomized Neural Networks for PDEs: Algorithms and Numerical Analysis
di: Dang, Haoning, et al.
Pubblicazione: (2024)

Adaptive Residual-Driven Newton Solver for Nonlinear Systems of Equations
di: Ding, Renjie, et al.
Pubblicazione: (2025)

Adaptive Mesh Refinement for Variational Inequalities
di: Fochesatto, Giuliano Stefano
Pubblicazione: (2025)

Fast high-order spectral solvers for PDEs on triangulated surfaces with applications to deforming surfaces
di: Zavalani, Gentian
Pubblicazione: (2025)

A Superfast Direct Solver for Type-III Inverse Nonuniform Discrete Fourier Transform
di: Li, Yingzhou, et al.
Pubblicazione: (2025)

Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
di: Ito, Kazufumi, et al.
Pubblicazione: (2025)

Sequential Refinement Solver using Space-Time Domain Decomposition for Non-linear Multiphase Flow Problems
di: Li, Hanyu, et al.
Pubblicazione: (2019)

Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
di: Zhang, Rui, et al.
Pubblicazione: (2023)

A Fast, Accurate and Oscillation-free Spectral Collocation Solver for High-dimensional Transport Problems
di: Cavallini, Nicola, et al.
Pubblicazione: (2025)

Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
di: Dũng, Dinh, et al.
Pubblicazione: (2026)

Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs
di: Zhao, Yuxuan, et al.
Pubblicazione: (2026)

A Stable Iterative Direct Sampling Method for Elliptic Inverse Problems with Partial Cauchy Data
di: Jin, Bangti, et al.
Pubblicazione: (2025)

An Adaptive CUR Algorithm and its Application to Reduced-Order Modeling of Random PDEs
di: Palkar, Grishma, et al.
Pubblicazione: (2025)

Adaptive RBF-FD Method for Elliptic Problems with Point Singularities in 2D
di: Oanh, Dang Thi, et al.
Pubblicazione: (2016)