Výsledky vyhledávání - 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

Autoři: Amin Ghoreyshi Mostafa Abbaszadeh Mahmoud A. Zaky a další

Zdroj: Applied Numerical Mathematics. 214:82-103

Témata: 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 souboru: application/xml

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

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

Autoři: Jin Zhang Chunxiao Zhang

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

Témata: 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 souboru: application/xml

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

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

Autoři: Zhang, Yanlong Wu, Jiming

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

Témata: 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 souboru: 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

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

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

Témata: 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 souboru: application/xml

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

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

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

Témata: 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 souboru: application/xml

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

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

Autoři: Cai, Ying Guo, Hailong Zhang, Zhimin

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

Témata: 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 souboru: application/xml

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

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

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

Témata: 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 souboru: application/xml

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

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

Autoři: Carsten Carstensen Ngoc Tien Tran

Zdroj: ArXiv e-prints

Témata: 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 souboru: application/xml

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

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

Autoři: Silvia Bertoluzza Erik Burman Cuiyu He

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

Témata: 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 souboru: application/xml; application/pdf

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

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

Autoři: Huang, Jianguo Peng, Hui Wu, Haohao

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

Témata: 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 souboru: application/xml

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

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

Autoři: Shubin Fu Eric Chung Guanglian Li

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

Témata: 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 souboru: application/xml

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

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

Autoři: Jiangxing Wang Li-Lian Wang Bo Wang

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

Témata: 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 souboru: application/xml

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

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

Autoři: Oulmelk, Abdessamad Srati, Mohammed Afraites, Lekbir a další

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

Témata: 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 souboru: application/xml

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

Autoři: null Garima Komal Bansal Kapil K. Sharma

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

Témata: 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 souboru: application/xml

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

Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations: Stability and accuracy of a meshless finite difference method for the Stokes equations

Autoři: Alexander Westermann Oleg Davydov Andriy Sokolov a další

Zdroj: International Journal for Numerical Methods in Engineering. 126

Témata: Finite difference methods for boundary value problems involving PDEs, convergence rate, optimal stability, driven cavity flow, Moffatt eddy, Stability and convergence of numerical methods for boundary value problems involving PDEs, radial basis function, Finite difference methods applied to problems in fluid mechanics, Stokes and related (Oseen, etc.) flows

Popis souboru: application/xml

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

Autoři: Guanglian Li Jing Li Julie Merten a další

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

Témata: 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 souboru: application/xml

Přístupová 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

Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors: Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors

Autoři: Guo, Liming Bi, Chunjia

Zdroj: Computers & Mathematics with Applications. 139:38-56

Témata: quasi-optimality, convergence, Error bounds for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, adaptive finite element method, 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, nonmonotone elliptic problems, \( L^2\) errors

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7692015
https://doi.org/10.1016/j.camwa.2023.03.005

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

Autoři: Yuejie Li Fei Teng Yihui Zeng a další

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

Témata: 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 souboru: application/xml

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

Autoři: Laaziri, Mohamed Masson, Roland

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

Témata: 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 souboru: application/xml

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

Autoři: Haitao Leng Huangxin Chen

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

Témata: 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 souboru: application/xml