Výsledky vyhľadávania - "Stability and convergence of numerical methods for boundary value problems involving PDEs"

Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis: Finite block method for nonlinear time-fractional partial integro-differential equations: stability, convergence, and numerical analysis

Autori: Amin Ghoreyshi Mostafa Abbaszadeh Mahmoud A. Zaky a ďalší

Zdroj: Applied Numerical Mathematics. 214:82-103

Predmety: Caputo fractional derivative, finite block method, Method of lines for boundary value problems involving PDEs, spectral-collocation method, quasilinearization, non-rectangular areas, Volterra integral operator, stability and error analysis, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, time delay, nonlinear time-fractional partial integro-differential equation

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8034925
https://doi.org/10.1016/j.apnum.2025.03.002

Locking-Free Hybrid High-Order Method for Linear Elasticity: Locking-free hybrid high-order method for linear elasticity

Autori: Carsten Carstensen Ngoc Tien Tran

Zdroj: ArXiv e-prints

Predmety: Complexity and performance of numerical algorithms, a posteriori, error estimates, a priori, linear elasticity, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 65N12, 65N30, 65Y20, hybrid high-order

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2404.02768
https://zbmath.org/8029910
https://doi.org/10.1137/24m1650363

Robust Virtual Element Methods for Coupled Stress-Assisted Diffusion Problems: Robust virtual element methods for coupled stress-assisted diffusion problems

Autori: Rekha Khot Andrés E. Rubiano Ricardo Ruiz-Baier

Zdroj: SIAM Journal on Scientific Computing. 47:A497-A526

Predmety: perturbed saddle-point problems, 65N30, 65N12, 65N15, 74F25, Error bounds for boundary value problems involving PDEs, Linear elasticity with initial stresses, virtual element methods, Perturbations in context of PDEs, stress-assisted diffusion, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, A priori estimates in context of PDEs, diffusion-induced stress, Fixed-point theorems, fixed-point operators, Chemical and reactive effects in solid mechanics, FOS: Mathematics, Mathematics - Numerical Analysis

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.09714

Wavelet-Based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations: Wavelet-based edge multiscale finite element methods for singularly perturbed convection-diffusion equations

Autori: Shubin Fu Eric Chung Guanglian Li

Zdroj: Multiscale Modeling & Simulation. 23:431-457

Predmety: Error bounds for boundary value problems involving PDEs, hierarchical bases, multiscale method, FOS: Mathematics, partition of unity, convection-diffusion, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, singularly perturbed

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2309.12108
https://zbmath.org/8015889
https://doi.org/10.1137/24m1659017

Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian: Adaptive finite element approximations of the first eigenpair associated with \(p\)-Laplacian

Autori: Guanglian Li Jing Li Julie Merten a ďalší

Zdroj: SIAM Journal on Scientific Computing. 47:A374-A402

Predmety: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, 65N12, 65N25, 65N30, 65N50, 35P30, p-Laplacian, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, adaptive finite element method, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, \(p\)-Laplacian, FOS: Mathematics, Mathematics - Numerical Analysis, Quasilinear elliptic equations with \(p\)-Laplacian, first eigenvalue, a posteriori error estimator

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2402.06889
https://zbmath.org/7988245
https://doi.org/10.1137/24m1637052
https://hdl.handle.net/11370/38fde517-5607-4324-a94f-59f28f4250e0
https://doi.org/10.1137/24M1637052
https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0

Numerical treatment of singularly perturbed turning point problems with delay in time

Autori: Singh, Satpal Kumar, Devendra Vigo-Aguiar, J.

Zdroj: Journal of Mathematical Chemistry. 63:1035-1064

Predmety: Finite difference methods for boundary value problems involving PDEs, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, turning point, time lag, Spline approximation, Error bounds for initial value and initial-boundary value problems involving PDEs, parameter-uniform convergence, Second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for ordinary differential equations, delay differential equation, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, splines, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, singular perturbation, Singular perturbations in context of PDEs

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8018422
https://doi.org/10.1007/s10910-025-01707-y

Uniform convergence of finite element method on Bakhvalov-type mesh for a 2-D singularly perturbed convection–diffusion problem with exponential layers: Uniform convergence of finite element method on Bakhvalov-type mesh for a 2-D singularly perturbed convection-diffusion problem with exponential layers

Autori: Jin Zhang Chunxiao Zhang

Zdroj: Mathematics and Computers in Simulation. 228:39-51

Predmety: Bakhvalov-type mesh, finite element method, FOS: Mathematics, 65N12, 65N30, convection-diffusion, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, uniform convergence, singularly perturbed

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2304.11368

A Novel PML-Type Technique for Acoustic Scattering Problems Based on a Real Coordinate Transformation: A novel PML-type technique for acoustic scattering problems based on a real coordinate transformation

Autori: Jiangxing Wang Li-Lian Wang Bo Wang

Zdroj: SIAM Journal on Scientific Computing. 47:A153-A180

Predmety: Roundoff error, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, real coordinate transformation, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, oscillation, perfectly matched layer, time-harmonic wave scattering, Pattern formations in context of PDEs, substitution, FOS: Mathematics, Helmholtz equation, Mathematics - Numerical Analysis, Waves and radiation in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory, Diffraction, scattering

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.15573
https://zbmath.org/7967117
https://doi.org/10.1137/24m1628554

VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics

Autori: Laaziri, Mohamed Masson, Roland

Zdroj: SIAM Journal on Numerical Analysis. 63:81-102

Predmety: Nitsche's method, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, Numerical computation of solutions to systems of equations, poromechanics, fracture networks, fully discrete approach, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Contact in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual element method, Classical linear elasticity, error estimates, Soil and rock mechanics, contact-mechanics, polytopal method, PDEs in connection with mechanics of deformable solids

Popis súboru: application/xml

Stabilized Continuous Linear Element Method for the Biharmonic Problems: Stabilized continuous linear element method for the biharmonic problems

Autori: Cai, Ying Guo, Hailong Zhang, Zhimin

Zdroj: Communications in Computational Physics. 37:498-520

Predmety: Second-order elliptic equations, superconvergence, gradient recovery, linear finite element, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Strong solutions to PDEs, biharmonic problems

Popis súboru: application/xml

Newton’s Method and its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods: Newton's method and its hybrid with machine learning for Navier-Stokes Darcy models discretized by mixed element methods

Autori: Huang, Jianguo Peng, Hui Wu, Haohao

Zdroj: Communications in Computational Physics. 37:30-60

Predmety: Error bounds for boundary value problems involving PDEs, Flows in porous media, filtration, seepage, FOS: Mathematics, deep learning, Navier Stokes-Darcy model, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Int-Deep method, Finite element methods applied to problems in fluid mechanics, Newton iterative method, convergence analysis

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.10557
https://zbmath.org/8013531
https://doi.org/10.4208/cicp.oa-2024-0066

An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems: An adaptive polygonal finite volume element method based on the mean value coordinates for anisotropic diffusion problems

Autori: Zhang, Yanlong Wu, Jiming

Zdroj: Communications in Computational Physics. 37:783-809

Predmety: hanging nodes, polygonal finite volume element method, Finite volume methods for boundary value problems involving PDEs, mean value coordinates, adaptive algorithm, Stability and convergence of numerical methods for boundary value problems involving PDEs

Popis súboru: application/xml

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation

Autori: Oulmelk, Abdessamad Srati, Mohammed Afraites, Lekbir a ďalší

Zdroj: Discrete and Continuous Dynamical Systems - S. 18:15-42

Predmety: inverse parameter problem, Inverse problems in optimal control, optimal control problem, alternating direction method of multiplier (ADMM), Finite difference methods for initial value and initial-boundary value problems involving PDEs, Existence theories for optimal control problems involving partial differential equations, Stability and convergence of numerical methods for boundary value problems involving PDEs, time-fractional diffusion equation, Functional-differential equations with fractional derivatives, convergence analysis

Popis súboru: application/xml

A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes: A cell-centered finite element method with imposed flux continuity and streamline upwind technique for advection-diffusion problems on general meshes

Autori: Ong Thanh Hai Nguyen T. Hong Thai Tran Thien Thanh

Zdroj: International Journal of Numerical Analysis and Modeling. 22:401-431

Predmety: Diffusion, anisotropic and heterogeneous diffusion, cell-centered schemes, convection-dominated regime, Forced convection, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, advection-diffusion equations, convergence analysis

Popis súboru: application/xml

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions: WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions

Autori: Silvia Bertoluzza Erik Burman Cuiyu He

Zdroj: SIAM Journal on Scientific Computing. 46:C688-C715

Predmety: Cea's Lemma, pseudotime XNODE, Numerical optimization and variational techniques, Systems of nonlinear higher-order PDEs, Pseudo-time XNODE, Cea's lemma, Stability and convergence of numerical methods for boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, PDEs on manifolds, weak adversarial network, Numerical PDE, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Weak solutions to PDEs, Weak Adversarial Network, Artificial neural networks and deep learning

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://zbmath.org/7964724
https://doi.org/10.1137/23m1588196

CEM-GMsFEM for Poisson Equations in Heterogeneous Perforated Domains: CEM-GMsFEM for Poisson equations in heterogeneous perforated domains

Autori: Wei Xie Yin Yang Eric Chung a ďalší

Zdroj: Multiscale Modeling & Simulation. 22:1683-1708

Predmety: Error bounds for boundary value problems involving PDEs, multiscale model reduction, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Poisson equation, perforated domains

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2404.17372

An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media: An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media

Autori: Haitao Leng Huangxin Chen

Zdroj: Mathematical Models and Methods in Applied Sciences. 34:2497-2536

Predmety: a posteriori error estimates, discrete fracture model, Error bounds for boundary value problems involving PDEs, Numerical computation of solutions to systems of equations, Darcy-Forchheimer flow, Stability and convergence of numerical methods for boundary value problems involving PDEs, HDG methods, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, fractured porous media, existence and uniqueness

Popis súboru: application/xml

A parameter uniform numerical method for 2D singularly perturbed elliptic differential-difference equations

Autori: null Garima Komal Bansal Kapil K. Sharma

Zdroj: Journal of Applied Mathematics and Computing. 70:6347-6372

Predmety: Finite difference methods for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, space shift, differential-difference equation, Numerical computation of solutions to systems of equations, singularly perturbed problem, convection-diffusion problem, Stability and convergence of numerical methods for boundary value problems involving PDEs, 2D elliptic equation, non standard finite difference method

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/8036706
https://doi.org/10.1007/s12190-024-02203-3

A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation: A dimension reduction method of two-grid finite element solution coefficient vectors for the Allen-Cahn equation

Autori: Yuejie Li Fei Teng Yihui Zeng a ďalší

Zdroj: Mathematical Methods in the Applied Sciences. 48:678-698

Predmety: Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, two-grid Crank-Nicolson finite element method, unconditional stability and errors, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, nonlinear Allen-Cahn equation, 01 natural sciences, reduced-dimension extrapolated two-grid Crank-Nicolson finite element method

Popis súboru: application/xml

On the Monotonicity of $Q^3$ Spectral Element Method for Laplacian: On the monotonicity of \(Q^3\) spectral element method for Laplacian

Autori: Cross, Logan J. Zhang, Xiangxiong

Zdroj: Annals of Applied Mathematics. 40:161-190

Predmety: Finite difference methods for boundary value problems involving PDEs, inverse positivity, discrete maximum principle, spectral element method, high order accuracy, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, discrete Laplacian, monotonicity

Popis súboru: application/xml