Computers & Mathematics With Applications

Article	Citations
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	130
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	60
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	55
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	53
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	52
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	52
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	49
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	49
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	49
Editorial Board	48
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson–Nernst–Planck system	42
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	41
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	41
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	40
A partitioned solver for compressible/incompressible fluid flow and light structure	39
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	38
Editorial Board	37
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	36
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	36
Unconditionally stable and parallel Discontinuous Galerkin solver	36
A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation	33
A stochastic collocation approach for parabolic PDEs with random domain deformations	32
Numerical solutions of an option pricing rainfall weather derivatives model	32
A two-parameter shift-splitting preconditioner for saddle point problems	31
Editorial Board	31

A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	31
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	31
A pencil distributed direct numerical simulation solver with versatile treatments for viscous term	31
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	30
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	30
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	30
An implicit lattice Boltzmann flux solver for simulation of compressible flows	30
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	28
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	27
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	24
A two-level multiphysics finite element method for a nonlinear poroelasticity model	24
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model	23
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	23
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	23
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	22
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	22
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	22
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	21
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	21
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	21
Boundary integral formulations for acoustic modelling of high-contrast media	21
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	21
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	21
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	20
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	20
Numerical pricing based on fractional Black–Scholes equation with time-dependent parameters under the CEV model: Double barrier options	20
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	20
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	20
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	20
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	20
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	19
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	19
A novel high efficiency adaptive mapped WENO scheme	19
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	19
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	19
Editorial Board	19
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	19
Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids	18
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	18
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	18
A reduced-order finite element method based on POD for the incompressible miscible displacement problem	18
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	18
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers	18
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	18
Adaptive space-time BEM for the heat equation	17
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	17
A multi-level parallel algorithm for seismic imaging based on one-way wave equation migration	17
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	17
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	17
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	17

A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	17
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	17
An efficient full-wave solver for eddy currents	17
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	17
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	16
Critical functions and inf-sup stability of Crouzeix-Raviart elements	16
On the simulation of image-based cellular materials in a meshless style	16
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	16
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	16
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	16
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	15
L2 error estimates for a family of cubic finite volume methods on triangular meshes	15
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	15
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	15
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	15
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	15
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	15
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	15
Editorial Board	15
The fundamental solution element method based on irregular polygonal meshes	15
The RBF partition of unity method for a 2D time-fractional parabolic equation	15
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	14
Editorial Board	14
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	14
A finite particle method based on a Riemann solver for modeling incompressible flows	14
Editorial Board	14
Rothe method and numerical analysis for a new class of fractional differential hemivariational inequality with an application	13
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	13
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	13
Level set-fitted polytopal meshes with application to structural topology optimization	13
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	13
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	13
Two-grid finite volume element method for the time-dependent Schrödinger equation	13
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	13
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	13
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	13
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	13
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	13
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	13
PIES for 2D elastoplastic problems with singular plastic strain fields	13
A preservative splitting approximation of the solution of a variable coefficient quenching problem	13
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	13
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	13
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	13
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	13
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	12
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	12
Editorial Board	12
Editorial Board	12
Discrete unified gas kinetic scheme for incompressible Navier-Stokes equations	12
Least-squares formulations for eigenvalue problems associated with linear elasticity	12
Identification of elastoplastic properties of rods from torsion test using meshless methods and a metaheuristic	12
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	12
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	12
Editorial Board	12
Editorial Board	12
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	12
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	12
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	12
Nonlocal Cahn-Hilliard type model for image inpainting	12
Parameter dependent finite element analysis for ferronematics solutions	12
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	12
Editorial Board	12
Editorial Board	12
Editorial Board	12
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	12
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	12
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	12
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	11
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	11
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	11
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	11
Virtual element approximation of two-dimensional parabolic variational inequalities	11
Editorial Board	11
An interpolation-based lattice Boltzmann method for non-conforming orthogonal meshes	11
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	11
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	11
Time-stepping DPG formulations for the heat equation	11
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	11

Stability and convergence of finite difference method for two-sided space-fractional diffusion equations	11
Editorial Board	11
A computationally efficient strategy for time-fractional diffusion-reaction equations	11
A well-defined grid line-based immersed boundary method for efficient and accurate simulations of incompressible flow	11
A numerical study of drop evaporation at high density ratios using Front-Tracking method	11
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	11
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	11
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	11
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	11
Algebraic spectral analysis of the DSSR preconditioner	11
Convergence of a simple discretization of the finite Hilbert transformation	10
Approximate controllability of linear parabolic equation with memory	10
Editorial Board	10
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	10
Generating probability distributions on intervals and spheres with application to finite element method	10
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	10
A partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes problem	10
A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: Application to dam-bre	10
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	10
Editorial Board	10
Analysis and simulation of sparse optimal control of the monodomain model	10
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	10
Low-order nonconforming brick elements for the 3D Brinkman model	10
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	10
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	10
Meshless Galerkin analysis of the generalized Stokes problem	10
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	10
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	10
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	10
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	10
A-posteriori error estimations of the GJF-Petrov–Galerkin methods for fractional differential equations	10
Numerical approximation of a potentials formulation for the elasticity vibration problem	10
A finite element level-set method for stress-based topology optimization of plate structures	10
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	10
Approximate deconvolution discretisation	10
Space-time unfitted finite element methods for time-dependent problems on moving domains	10
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem	10
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	10
On high-order finite element solution of eigenvalue problems on isospectral surfaces	10
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	9
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	9
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	9
Editorial Board	9
A hybrid high-order method for Sobolev equation with convection-dominated term	9
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	9
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	9
Editorial Board	9
A subspace method based on the Neumann series for the solution of parametric linear systems	9
An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows	9
Bivariate collocation for computing R0 in epidemic models with two structures	9
Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods	9
An adaptive solution strategy for Richards' equation	9
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	9
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	9
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	9
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	9
Adaptive finite element method for nonmonotone quasi-linear elliptic problems	9
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	9
Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation	9
Generating probability distributions on intervals and spheres: Convex decomposition	9
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	9
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes	9
A DPG method for the quad-curl problem	9
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	9
Parameter-free preconditioning for nearly-incompressible linear elasticity	9
A new third-order energy stable technique and error estimate for the extended Fisher–Kolmogorov equation	9
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	9
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	9
Innovative discretizations of PDEs: Towards an accurate representation of the reality	9
Hybrid non-convex regularizers model for removing multiplicative noise	9
A compact radial basis function partition of unity method	8
Homogenization of large deforming fluid-saturated porous structures	8
Editorial Board	8
Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation	8
Two-level dynamic load-balanced p-adaptive discontinuous Galerkin methods for compressible CFD simulations	8
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	8
A qualitative analysis of bifocusing method for a real-time anomaly detection in microwave imaging	8
Some observations on preconditioning for non-self-adjoint and time-dependent problems	8
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	8
Modular parametric PGD enabling online solution of partial differential equations	8
Numerical aspects of Casimir energy computation in acoustic scattering	8
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	8
A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations	8
Editorial Board	8
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	8
SAV Fourier-spectral method for diffuse-interface tumor-growth model	8
A novel distributed-order time fractional derivative model of laser-induced thermal therapy for deep-lying tumor	8
Static and vibration analyses of functionally graded porous shell structures by using an averaged edge/node-based smoothed MITC3 element	8
Generalised heat kernel invariants of a graph and application to object clustering	8
The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures	8
Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter	8
Error analysis of the second-order BDF finite element scheme for the thermally coupled incompressible magnetohydrodynamic system	8
New superconvergence estimates of FEM for time-dependent Joule heating problem	8
Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet con	8
Editorial Board	8