Cover Image

An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ye, Yangyi, Li, Lin, Xie, Pengcheng, Yu, Haijun
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Optimization and Control 65N35, 65N22, 65F05, 65L10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A spectral Levenberg-Marquardt-Deflation method for multiple solutions of semilinear elliptic systems
by: Li, Lin, et al.
Published: (2025)

Nonconforming Linear Element Method for a Generalized Tensor-Valued Stokes Equation with Application to the Triharmonic Equation
by: Gu, Ziwen, et al.
Published: (2025)

Robust and Optimal Mixed Methods for a Fourth-Order Elliptic Singular Perturbation Problem
by: Huang, Xuehai, et al.
Published: (2025)

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy
by: Lin, Zhongshuo, et al.
Published: (2024)

Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
by: Chen, Long, et al.
Published: (2025)

A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
by: Myrbäck, Sebastian, et al.
Published: (2024)

On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation
by: Gupta, Shipra, et al.
Published: (2024)

On Finite Element Methods for Heterogeneous Elliptic Problems
by: Loula, Abimael F. D., et al.
Published: (2025)

A Nonnested Augmented Subspace Method for Kohn-Sham Equation
by: Hu, Guanghui, et al.
Published: (2024)

An Adaptive Angular Domain Compression Scheme For Solving Multiscale Radiative Transfer Equation
by: Song, Qinchen, et al.
Published: (2024)

Symmetric-Tensor Distributional Mixed Method for Fourth-Order Elliptic Singular Perturbation Problem
by: Huang, Xuehai, et al.
Published: (2026)

Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
by: Frachon, Thomas, et al.
Published: (2024)

A residual a posteriori error estimate for the Stabilization-free Virtual Element Method
by: Berrone, Stefano, et al.
Published: (2025)

Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
by: Manohar, Ram, et al.
Published: (2025)

Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations
by: Ren, Jingze, et al.
Published: (2026)

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
by: Camargo, Liliana, et al.
Published: (2023)

An adaptive superconvergent finite element method based on local residual minimization
by: Muga, Ignacio, et al.
Published: (2022)

Robust Variational Physics-Informed Neural Networks
by: Rojas, Sergio, et al.
Published: (2023)

A high-order local discontinuous Galerkin method for the $p$-Laplace equation
by: Wu, Yue, et al.
Published: (2023)

A $C^0$-continuous nonconforming virtual element method for linear strain gradient elasticity
by: Huang, Jianguo, et al.
Published: (2024)

Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
by: Heinlein, Alexander, et al.
Published: (2024)

Tensor Neural Network Interpolation and Its Applications
by: Li, Yongxin, et al.
Published: (2024)

A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization
by: Zhao, Yong-Liang, et al.
Published: (2024)

A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
by: Zhao, Yong-Liang, et al.
Published: (2019)

Continuous Finite Element Method For Maxwell Eigenvalue Problems With Regular Decomposition Technique
by: Liao, Feiyi, et al.
Published: (2025)

Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart Element
by: Guan, Zhijin, et al.
Published: (2024)

Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method
by: Feng, Yue, et al.
Published: (2024)

The Reduced Basis Multigrid scheme for the Virtual Element Method
by: Antonietti, Paola F., et al.
Published: (2025)

Two continuous extensions of the Neural Approximated Virtual Element Method
by: Berrone, Stefano, et al.
Published: (2026)

Divergence-free cut finite element methods for Stokes flow
by: Frachon, Thomas, et al.
Published: (2023)

A low-order locking-free multiscale finite element method for isotropic elasticity
by: Gomes, Antônio Tadeu Azevedo, et al.
Published: (2024)

A divergence preserving cut finite element method for Darcy flow
by: Frachon, Thomas, et al.
Published: (2022)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods
by: Guo, Yichen, et al.
Published: (2023)

MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
by: Xie, Yan, et al.
Published: (2023)

Hierarchical Super-Localized Orthogonal Decomposition Method
by: Garay, Jose C., et al.
Published: (2024)

On Optimal Algebraic Multigrid Methods
by: Ramos, Luis García, et al.
Published: (2019)

Modeling a Smooth Surface by a Constrained Biharmonic Equation with Application in Soil Science
by: Bekele, Samson Seifu, et al.
Published: (2025)

Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
by: Strehlow, Arne, et al.
Published: (2024)

Towards a Multigrid Preconditioner Interpretation of Hierarchical Poincaré-Steklov Solvers
by: Lorca, J. P. Lucero
Published: (2025)