Keywords: 65N15; 65N30; 76D07; 76S05; Non-stationary mixed Stokes-Darcy model; Interface coupling; Crank-Nicolson scheme; Explicit MacCormack scheme; MacCormack rapid solver method; Long time stability;
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Keywords: primary; 65N30; 65N15; 65N12; 74N20; secondary; 35B45; 35J50; 35J35; Weak Galerkin finite element methods; Weak gradient; Stokes equations; Polytopal meshes;
Keywords: Eigenvalue problem; Finite element method; A posteriori error estimates; Discontinuous Galerkin method; Primary: 65N30; Secondary: 65N25; 65N15;
Keywords: primary; 65N30; 65N15; 65N12; 74N20; secondary; 35B45; 35J50; 35J35; Finite element methods; Hyperbolic equations;
Keywords: 34E13; 65N15; 65N30; Combined finite element method; Rough boundary; Penalty technique;
Keywords: Fracture model; Finite volume method; Error estimates; Numerical experiments; 65N08; 65N12; 65N15;
Keywords: Linearized Oldroyd model; Second order scheme; Stability; Error estimates; 65N15; 65N30; 76D07;
Keywords: 65N12; 65N15; 35Q30; Navier-Stokes; Stress formulation; Splitting schemes;
Keywords: 65N15; 65N30; 76D07; Viscoelastic flow problem; Higher order projection method; Stability; Error estimates;
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: primary; 65N30; 65J15; 65N12; 65N15; Linear transport problems; L2-stable Petrov-Galerkin formulations; δ-proximality; Adaptive refinements; Anisotropic discretizations; Best N-term approximation; Shearlets;
Keywords: 65N30; 65N12; 65N15; 76R05; 76D07; Linear elasticity; Stress-assisted diffusion; Mixed-primal formulation; Fixed-point theory; Finite element methods; A priori error bounds;
Keywords: primary; 35R11; 49M25; secondary; 35K05; 65N15; Nonlocal discrete diffusion equations; Fractional discrete Laplacian; Regularity and extension problem; Sobolev and Poincaré inequalities; Error of approximation; Semidiscrete heat equation;
Keywords: 65N15; 65N30; A posteriori error estimates; Semi-robustness and robustness; Nonconforming quadrilateral finite elements; Convection-diffusion problem;
Keywords: Helmholtz equation; High wave number; Local refinement; Polar and spherical coordinates; Pollution-free scheme; 65N06; 65N15; 65N22;
Keywords: Nonlinear hyperbolic equation; Nonconforming EQ1rot element; Linearized Galerkin FEM; Unconditional superclose estimate; 65N15; 65N30;
Keywords: 65N15; 65N30; Quadrilateral elements; Anisotropic finite elements; Lagrange interpolation; Minimum angle condition; Maximum angle condition;
Keywords: Diffusion problems with interface; Finite volume method; Eulerian grids; Error estimates; 65N08; 65N12; 65N15;
Keywords: 65N30; 65N12; 65N15; 76D07; Nonconforming virtual element method; Stokes problem; General elements; Inf-Sup condition; Optimal error estimates;
Keywords: 65C20; 65D30; 65D32; 65N12; 65N15; 65N21; Infinite-dimensional Bayesian inverse problems; Curse of dimensionality; Hessian-based adaptive sparse quadrature; Sparse grid; Gaussian prior; Dimension-independent convergence analysis;
Keywords: 65N30; 65N12; 65N15; 35Q79; 80A20; 76R05; 76D07; Navier-Stokes; Darcy; Stress-velocity formulation; Mixed finite element methods; A posteriori error analysis;
Keywords: 65N30; 65N12; 65N15; Incompressible flow; Oseen equation; Mixed finite element; Stabilized finite elements; A posteriori error estimator;
Keywords: 35Q30; 65N15; 76D05; Navier-Stokes equations; Incremental pressure projection schemes; Segregated scheme; Error estimates; Finite-elements;
Keywords: 65N30; 65N12; 65N15; 35Q79; 80A20; 76R05; 76D07; Generalized Boussinesq problem; Conforming finite element method; Hood-Taylor element; Temperature-dependent parameters; Primal-mixed formulation;
Keywords: 65N12; 65N15; 65N30Fractional order Laplacian; Matrix transformation method; Finite element method; Error estimation
Keywords: 65N30; 65N15; Least-squares; Finite element methods; Error estimates;
Keywords: primary 65N30; 65N15; 65N12; 74N20; secondary 35B45; 35J50; 35J35Weak Galerkin finite element methods; Weak gradient; Stokes equations; Polytopal meshes
Keywords: 65N15; 65N30Reaction–diffusion equation; Stabilized mixed finite element; Classical mixed finite element; A priori error estimate; Numerical experiments
Keywords: 65N12; 65N15; 65N30; Reaction-convection-diffusion equation; Boundary layer; Interior layer; Stabilized finite element method; Stabilization parameter;
Keywords: 65N30; 65N15; 65N12Finite element; Discontinuous Galerkin; A posteriori error estimate; Signorini problem; Variational inequalities; Lagrange multiplier
Keywords: Time dependent conduction-convection problems; Characteristic variational multiscale method; Finite element method; Stability analysis; High Rayleigh number; 2000 MSC; 65N15; 65N30; 76D07;
Keywords: 65N15; 65N30Higher-order FEM; Contact problems; Mixed methods
Keywords: 35J05; 65N12; 65N15; 65N30Multiscale method; Pollution effect; Wave propagation; Helmholtz problem; Finite element method
Keywords: 65N15; 65N30; 65N55; 65N12; A posteriori error estimation; Domain decomposition; Reduced basis methods;
Keywords: 65N30; 65N15; 74B10Mixed finite elements; Nearly incompressible elasticity; Primal and dual meshes; Stokes equations; Inf–sup condition
Keywords: 65N15; 65N30; 65J15Finite element analysis; Robust a posteriori error estimate; Singularly perturbed problems; Boundary layers; Mixed boundary conditions
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
Keywords: 65F10; 65N15; 65N30; 65N22; 65Y20Numerical solution of partial differential equations; Finite element method; Adaptivity; A posteriori error analysis; Discretization error; Algebraic error; Spatial distribution of the error
Keywords: Parabolic differential equations; Delay; Singularly perturbed problem; Finite difference scheme; Shishkin mesh65N06; 65N12; 65N15
An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem
Keywords: Weak Galerkin finite element method; Darcy-Stokes equation; Discrete weak gradient; Discrete weak divergence; Primary; 65N15; 65N30; 76D07; Secondary; 35B45; 35J50;
Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues
Keywords: 65N25; 65N30; 65N15; Eigenproblem; Guaranteed; Symmetric; Elliptic operators; Finite element method; Conforming;
Stabilization of low-order cross-grid PkQl mixed finite elements
Keywords: 65N12; 65N30; 65N15; Stokes problem; Elliptic problems; Mixed finite elements; Stability analysis; Cross-grid elements;
New discretization schemes for time-harmonic Maxwell equations by weak Galerkin finite element methods
Keywords: primary; 65N30; 65N12; 65N15; secondary; 35Q60; 35B45; Weak Galerkin; Finite element methods; Time-harmonic; Maxwell equations; Weak divergence; Weak curl; Polygonal/polyhedral meshes;
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;
Convergence analysis for GMsFEM approximation of elliptic eigenvalue problems
Keywords: 65N30; 65N15; 65C20; Eigenvalue elliptic problem; Generalized multiscale finite element method; High contrast coefficient;
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;
A weak Galerkin finite element method for the Navier-Stokes equations
Keywords: 65N30; 65N12; 65N15; 76D05; Weak Galerkin; Finite element methods; Navier-Stokes equations; More general partitions;
A new weak Galerkin finite element scheme for general second-order elliptic problems
Keywords: primary; 65N15; 65N30; secondary; 35J50; Weak Galerkin; Finite element methods; Discrete gradient; General second-order elliptic problems;
A stable weak Galerkin finite element method for Stokes problem
Keywords: 65N15; 65N30; 65M60; Weak Galerkin method; Stokes problem; Stability; Optimal error estimate;