Keywords: primary; 65M50; 65N50; secondary; 65N30; Hamiltonian triangulations; Space-filling curve; Mesh refinement; Longest edge;
مقالات ISI (ترجمه نشده)
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Keywords: Moving knots; Equidistribution Principle; Meshless method; Time dependent PDEs; 65D05; 65D10; 65K10; 65N50;
Keywords: Incompressible Navier-Stokes equations; Compressible Navier-Stokes equations; Low Mach number flow; Finite element method; Discontinuous Galerkin method; Fluid-structure interaction; 65N50; 65N15; 65D05;
Keywords: 65N30; 65N50; 68U20; 86-08; Mixed Virtual Elements; Discrete Fracture Networks; Mixed formulation; Fracture flows; Darcy flows;
Keywords: 65N30; 65N50; 68U20; 86-08; Darcy flows; Discrete fracture networks; Optimization methods for elliptic problems; XFEM; Unsteady advection-diffusion in fractured media; Uncertainty quantification in fractured media;
Keywords: 65N50; 65N30; 65N15Gradient recovery; Superconvergence; Polynomial preserving
Keywords: 65N30; 65N50; 49S05Surface tension; Multi-component mixtures; Euler–Lagrange equations; Gradient theory
Keywords: 65N30; 65N50; 49S05; Surface tension; Adaptive finite element method; Gradient theory;
Keywords: 65N30; 65N15; 65N50; A-posteriori error estimate; Superconvergence patch recovery; Anisotropic mesh; Linear finite element; Post-processing;
Keywords: 65N30; 65N15; 65N50; 65J15VEM; Fracture flows; Darcy flows; Discrete fracture networks; Optimization methods for elliptic problems
A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity
Keywords: 65N12; 65N15; 65N30; 65N50; 74B20; 74G15; 74M99; Cavitation; Quadratic iso-parametric FEM; Error analysis; Meshing strategy; Convergence; Nonlinear elasticity;
Reliable anisotropic-adaptive discontinuous Galerkin method for simplified PN approximations of radiative transfer
Keywords: 65N30; 65N15; 65N50; 82D20; Discontinuous Galerkin; Anisotropic adaptivity; Radiative transfer; Error estimator;
2-D magnetotelluric modeling using finite element method incorporating unstructured quadrilateral elements
Keywords: 65N30; 65N50; 74S05; Magnetotelluric modeling; Finite element method; Unstructured quadrilateral mesh; Paving algorithm; 02.70.Dh; 91.25. â r;
Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation
Keywords: Fractional Cahn-Hilliard equation; Non-local energy; Well-posedness; Fourier spectral method; Error estimates; 65N12; 65N30; 65N50;
Orthogonal polynomials in badly shaped polygonal elements for the Virtual Element Method
Keywords: VEM; Polygonal Galerkin methods; Orthogonal polynomials on polygons; Discrete Fracture Network simulations; Badly shaped elements; 65N30; 65N50; 68U20; 86-08; 86A05;
Supercloseness of continuous interior penalty method for convection-diffusion problems with characteristic layers
Keywords: 65N30; 65N50; Convection-diffusion; Boundary layer; Interior penalty finite element method; Shishkin mesh;
Longest-edge nn-section algorithms: Properties and open problems
Keywords: 65N50; 65N30; 65M50; 65Y20Longest-edge nn-section algorithm; Simplicial partition; Angle conditions; Finite element method; Mesh refinement; Mesh regularity
Letter to the EditorThe mystery of the shape parameter III
Keywords: 41A05; 65D05; 65M15; 65M70; 65N15; 65N50; Radial basis function; Multiquadric; Shape parameter; Interpolation;
A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions
Keywords: 65N15; 65N30; 65N50; 74B20Elasticity equation; Pure Neumann conditions; Mixed finite element method; A posteriori error estimator; PEERS
Robust a posteriori error estimation for finite element approximation to H(curl) problem
Keywords: 65N15; 65N30; 65N50; Maxwell's equations; Nédélec finite elements; A posteriori error estimation; Interface problem; Flux recovery; Duality error estimation;
Unconditionally stable methods for simulating multi-component two-phase interface models with Peng–Robinson equation of state and various boundary conditions
Keywords: 65N30; 65N50; 49S05Two-phase interfaces; Multi-component fluids; Peng–Robinson equation of state; Cahn–Hilliard system; Unconditional stability
A recovery-based a posteriori error estimator for H(curl) interface problems
Keywords: 65N15; 65N30; 65N50; Maxwell's equations; Nédélec finite elements; A posteriori error estimation; Interface problem;
A hp-adaptive discontinuous Galerkin method for plasmonic waveguides
Keywords: 65N15; 65N30; 65N50; 35P99; Discontinuous Galerkin methods; A posteriori error estimation; Adaptivity; Eigenvalue problems;
Convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data
Keywords: 65N30; 65N50; Adaptive finite element methods; Convergence analysis; Quasi-optimality; Inhomogeneous Dirichlet data;
Definition of a P-interpolating space of hierarchical bases of finite elements on the pyramid
Keywords: 33F05; 65D05; 65N30; 65N50; 68U20; 90-08; Interpolation; Finite element; Shape functions; Hierarchical element; p-element; p-version;
hp-DGFEM for nonlinear convection-diffusion problems
Keywords: 65N30; 65N50; 65N22hp-Discontinuous Galerkin finite element method; Residuum-nonconformity indicator; Regularity estimator; Algebraic error
An iterative adaptive finite element method for elliptic eigenvalue problems
Keywords: 65N25; 65N30; 65N50; 35B45Partial differential equation; Eigenvalue problem; Iterative method; Adaptive higher-order finite element method; hphp-FEM; Reproducible research
Time discretization and quantization methods for optimal multiple switching problem
Keywords: 65C20; 65N50; 93E20Optimal switching; Quantization of random variables; Discrete-time approximation; Markov chains; Numerical probability
A posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions
Keywords: 65N15; 65N30; 65N50; 74B05; 74S05Mixed finite element; Augmented formulation; A posteriori error estimator; Linear elasticity
Goal-oriented a posteriori error estimates for transport problems
Keywords: 65N15; 65N50; 76M30; Stationary convection-diffusion equations; The finite element method; A posteriori error estimates; Goal-oriented quantities; Mesh adaptation;
A framework for obtaining guaranteed error bounds for finite element approximations
Keywords: 65N50; 65N15; 65N50; 76S05A posteriori error estimation; Non-conforming finite element; Discontinuous Galerkin method; Guaranteed error bounds
Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations
Keywords: 65N15; 65N30; 65N50; 74B05Mixed finite element; Incompressible flow; A posteriori error estimator
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates
Keywords: 65N50; 65N30; 65N15Mesh adaptation; Anisotropic mesh; Finite elements; A posteriori estimators
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
Keywords: 65N30; 65N50; 35B50; 35J25Diffusion-reaction problem; Maximum principle; Prismatic finite elements; Discrete maximum principle
Moving mesh methods for blowup in reaction–diffusion equations with traveling heat source
Keywords: 65N50; 65M50; 35K55; 35K57Blowup; Reaction–diffusion equations; Moving mesh methods
Numerical simulation of blowup in nonlocal reaction–diffusion equations using a moving mesh method
Keywords: 65R20; 65N50; 65M50; 35K55; 35K57; 65N35Blowup; Nonlocal reaction–diffusion equations; Integro-differential equations; Moving mesh methods
Generation of smooth grids with line control for scattering from multiple obstacles
Keywords: 65N50; 74J20; 74S20Elliptic grid generation; Grid line control; Smoothing process; Multiple scattering; Radar cross-section
A new a posteriori error estimate for convection-reaction-diffusion problems
Keywords: 65N15; 65N50; 76M30; Convection-reaction-diffusion; A posteriori error estimation; Adaptivity;
A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows
Keywords: 65N15; 65N30; 65N50; 74B05Mixed finite element; Incompressible flow; A posteriori error estimator
Asymptotic properties of some triangulations of the sphere
Keywords: 65N50; 65D17Spherical triangulations; Quasi-uniform triangulations
An active set strategy to generate quadrilateral grids
Keywords: 65N50; 65D18Quadrilateral grid generation; Heat equation; Discrete variational method; Optimization problem; Steepest descent method
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
Keywords: 65N50; 65M50; 35K55; 35K57; 65N35Moving mesh; Blowup; Reaction diffusion equations; Mesh adaptation
The heat equation to generate planar grids
Keywords: 65N50; 65D18; Quadrilateral grid generation; Heat equation; Discrete variational method;
On discrete maximum principles for nonlinear elliptic problems
Keywords: 65N30; 65N50; 35B50; 35J65Nonlinear elliptic problem; Mixed boundary conditions; Discrete maximum principle; Finite element method; Quadratures
A posteriori error estimation for the dual mixed finite element method for the p-Laplacian in a polygonal domain
Keywords: 65N15; 65N30; 65N50; 35J60p-Laplacian; Dual mixed FEM; A posteriori error estimators; Helmholtz decomposition
Solving regularly and singularly perturbed reaction-diffusion equations in three space dimensions
Keywords: 65N30; 65N50; 92E20Adaptive finite elements; Continuation methods; Perturbation problems; Reaction-diffusion equations
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements
Keywords: 65N30; 65N50; 65D30Quadrilateral finite elements; Hexahedral finite elements; Gauss quadrature; Nested refinement; Multigrid refinement
Globalization strategies for Newton–Krylov methods for stabilized FEM discretization of Navier–Stokes equations
Keywords: 65N30; 65N50; 65N55Inexact Newton methods; Globalization strategy; Numerical Navier–Stokes equation; Finite element methods
An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case
Keywords: 65N15; 65N30; 65N50; 68W40Hamilton–Jacobi equations; Adaptivity; A posteriori error estimates; Discontinuous Galerkin methods
Optimized point shifts and poles in the linear rational pseudospectral method for boundary value problems
Keywords: 65L10; 65N35; 65N50; Two-point boundary value problems; Linear rational collocation; Pole optimization; Mesh generation; Point shift optimization;