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1

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
Amin Ghoreyshi ; Mostafa Abbaszadeh ; Mahmoud A. Zaky ; et al.
Applied Numerical Mathematics. 214:82-103

Caputo fractional deriva... finite block method Method of lines for boun... spectral-collocation met... quasilinearization non-rectangular areas
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2

Locking-Free Hybrid High-Order Method for Linear Elasticity: Locking-free hybrid high-order method for linear elasticity
Carsten Carstensen ; Ngoc Tien Tran
ArXiv e-prints

Complexity and performan... a posteriori error estimates a priori linear elasticity FOS: Mathematics
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3

Robust Virtual Element Methods for Coupled Stress-Assisted Diffusion Problems: Robust virtual element methods for coupled stress-assisted diffusion problems
Rekha Khot ; Andrés E. Rubiano ; Ricardo Ruiz-Baier
SIAM Journal on Scientific Computing. 47:A497-A526

perturbed saddle-point p... 65N30, 65N12, 65N15, 74F... Error bounds for boundar... Linear elasticity with i... virtual element methods Perturbations in context...
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4

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
Shubin Fu ; Eric Chung ; Guanglian Li
Multiscale Modeling & Simulation. 23:431-457

Error bounds for boundar... hierarchical bases multiscale method FOS: Mathematics partition of unity convection-diffusion
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5

Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian: Adaptive finite element approximations of the first eigenpair associated with \(p\)-Laplacian
Guanglian Li ; Jing Li ; Julie Merten ; et al.
SIAM Journal on Scientific Computing. 47:A374-A402

Numerical methods for ei... convergence Error bounds for boundar... 65N12, 65N25, 65N30, 65N... p-Laplacian Nonlinear eigenvalue pro...
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6

Numerical treatment of singularly perturbed turning point problems with delay in time
Singh, Satpal ; Kumar, Devendra ; Vigo-Aguiar, J.
Journal of Mathematical Chemistry. 63:1035-1064

Finite difference method... Shishkin mesh Stability and convergenc... turning point time lag Spline approximation
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7
8

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
Jiangxing Wang ; Li-Lian Wang ; Bo Wang
SIAM Journal on Scientific Computing. 47:A153-A180

Roundoff error Laplace operator, Helmho... real coordinate transfor... Oscillation, zeros of so... Numerical Analysis (math... Finite element, Rayleigh...
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9

VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics
Laaziri, Mohamed ; Masson, Roland
SIAM Journal on Numerical Analysis. 63:81-102

Nitsche's method Error bounds for boundar... Finite element methods a... Flows in porous media filtration seepage
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10

Stabilized Continuous Linear Element Method for the Biharmonic Problems: Stabilized continuous linear element method for the biharmonic problems
Cai, Ying ; Guo, Hailong ; Zhang, Zhimin
Communications in Computational Physics. 37:498-520

Second-order elliptic eq... superconvergence gradient recovery linear finite element Finite element, Rayleigh... Stability and convergenc...
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11

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
Huang, Jianguo ; Peng, Hui ; Wu, Haohao
Communications in Computational Physics. 37:30-60

Error bounds for boundar... Flows in porous media filtration seepage FOS: Mathematics deep learning
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12

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
Zhang, Yanlong ; Wu, Jiming
Communications in Computational Physics. 37:783-809

hanging nodes polygonal finite volume... Finite volume methods fo... mean value coordinates adaptive algorithm Stability and convergenc...
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13

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation
Oulmelk, Abdessamad ; Srati, Mohammed ; Afraites, Lekbir ; et al.
Discrete and Continuous Dynamical Systems - S. 18:15-42

inverse parameter proble... Inverse problems in opti... optimal control problem alternating direction me... Finite difference method... Existence theories for o...
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14

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
Ong Thanh Hai ; Nguyen T. Hong Thai ; Tran Thien Thanh
International Journal of Numerical Analysis and Modeling. 22:401-431

Diffusion anisotropic and heteroge... cell-centered schemes convection-dominated reg... Forced convection Stability and convergenc...
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15

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions: WAN discretization of PDEs: best approximation, stabilization, and essential boundary conditions
Silvia Bertoluzza ; Erik Burman ; Cuiyu He
SIAM Journal on Scientific Computing. 46:C688-C715

Cea's Lemma pseudotime XNODE Numerical optimization a... Systems of nonlinear hig... Pseudo-time XNODE Cea's lemma
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16

CEM-GMsFEM for Poisson Equations in Heterogeneous Perforated Domains: CEM-GMsFEM for Poisson equations in heterogeneous perforated domains
Wei Xie ; Yin Yang ; Eric Chung ; et al.
Multiscale Modeling & Simulation. 22:1683-1708

Error bounds for boundar... multiscale model reducti... FOS: Mathematics Mathematics - Numerical... Numerical Analysis (math... Finite element, Rayleigh...
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17

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
Haitao Leng ; Huangxin Chen
Mathematical Models and Methods in Applied Sciences. 34:2497-2536

a posteriori error estim... discrete fracture model Error bounds for boundar... Numerical computation of... Darcy-Forchheimer flow Stability and convergenc...
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18

A parameter uniform numerical method for 2D singularly perturbed elliptic differential-difference equations
null Garima ; Komal Bansal ; Kapil K. Sharma
Journal of Applied Mathematics and Computing. 70:6347-6372

Finite difference method... Error bounds for boundar... space shift differential-difference... Numerical computation of... singularly perturbed pro...
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19

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
Yuejie Li ; Fei Teng ; Yihui Zeng ; et al.
Mathematical Methods in the Applied Sciences. 48:678-698

Error bounds for initial... proper orthogonal decomp... two-grid Crank-Nicolson... unconditional stability... Spectral, collocation an... Stability and convergenc...
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20

On the Monotonicity of $Q^3$ Spectral Element Method for Laplacian: On the monotonicity of \(Q^3\) spectral element method for Laplacian
Cross, Logan J. ; Zhang, Xiangxiong
Annals of Applied Mathematics. 40:161-190

Finite difference method... inverse positivity discrete maximum princip... spectral element method high order accuracy Finite element, Rayleigh...
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