Keywords: ترکیب عناصر محدود; Nonlinear solver; Jacobian approximation; Mixed finite elements; Cell-centered finite difference; Fully-implicit;
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Keywords: ترکیب عناصر محدود; Fluid-plate-foundation interaction; Hydroelasticity; Fluid storage tanks; Pasternak foundation; Added mass; Free surface; Boundary elements; Mixed finite elements; Elastic bottom; Mindlin plate; Circular/elliptical plate; Free vibration;
Keywords: ترکیب عناصر محدود; Cable analysis; Nonlinear analysis; Mixed finite elements; Weak compatibility;
Keywords: ترکیب عناصر محدود; Flow in porous media; Discrete fracture model; Two-phase flow; Discontinuous capillary pressure; Mixed finite elements;
A semi-discrete central scheme for incompressible multiphase flow in porous media in several space dimensions
Keywords: ترکیب عناصر محدود; Numerical methods; Semi-discrete central schemes; Multiphase flow; Heterogeneous porous media; Mixed finite elements;
Keywords: ترکیب عناصر محدود; Phase-field models; PetIGA; High-order partial differential equation; Mixed finite elements; Isogeometric analysis; Time integration;
Keywords: ترکیب عناصر محدود; Topology optimization; Mixed finite elements; Complementary energy; Incompressible materials; Stress constraints;
Keywords: ترکیب عناصر محدود; Saddle point system; Multigrid methods; Mixed finite elements; Stokes equations
Keywords: ترکیب عناصر محدود; High order; Mixed finite elements; Discontinuous Galerkin; Runge–Kutta methods
Keywords: ترکیب عناصر محدود; A priori error estimates; Boundary observations; Finite elements; Mixed finite elements; Optimal control problems
Keywords: ترکیب عناصر محدود; Mixed finite elements; Reaction-diffusion systems; Excitable media; Moving domains; Linear and nonlinear elasticity; Single cell mechanics; Active strain;
Keywords: ترکیب عناصر محدود; Mixed finite elements; Stabilization; Plasticity; Strain softening; Strain localization; Mesh dependence
Keywords: ترکیب عناصر محدود; Multiscale methods; Mixed finite elements; Domain decomposition
Keywords: ترکیب عناصر محدود; Timoshenko beams; Bending moment formulation; Locking-free; Mixed finite elements; Error analysis
Keywords: ترکیب عناصر محدود; Mixed finite elements; Incompressible Navier–Stokes equations; Divergence-free methods; Helmholtz decomposition; Poor mass conservation
Keywords: ترکیب عناصر محدود; Variational principles; Isochoric finite gradient plasticity; Plastic metric; Size effects; Constitutive updates; Mixed finite elements; Coupled problems
Stabilization of low-order cross-grid PkQl mixed finite elements
Keywords: ترکیب عناصر محدود; 65N12; 65N30; 65N15; Stokes problem; Elliptic problems; Mixed finite elements; Stability analysis; Cross-grid elements;
Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model
Keywords: ترکیب عناصر محدود; Dispersion relationship; Shallow water equations; Geophysical fluid dynamics; Mixed finite elements; Finite element exterior calculus; Mimetic Galerkin differences;
A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
Keywords: ترکیب عناصر محدود; Mixed finite elements; Hu-Washizu functional; Implicit time-stepping schemes; Structure-preserving methods;
Vertical slice modelling of nonlinear Eady waves using a compatible finite element method
Keywords: ترکیب عناصر محدود; Mixed finite elements; Frontogenesis; Eady model; Asymptotic convergence; Semi-geostrophic; Numerical weather prediction;
On velocity errors due to irrotational forces in the Navier–Stokes momentum balance
Keywords: ترکیب عناصر محدود; Incompressible Navier–Stokes equations; Mixed finite elements; Benchmarks; Spurious velocity oscillations
A new mixed finite element analysis of the elastodynamic equations
Keywords: ترکیب عناصر محدود; Mixed finite elements; Elastodynamic equations
High-fidelity prediction of crack formation in 2D and 3D pullout tests
Keywords: ترکیب عناصر محدود; Pullout test; Mixed finite elements; Plasticity; Strain localization; Rankine; Concrete
Hierarchical high order finite element bases for H(div) spaces based on curved meshes for two-dimensional regions or manifolds
Keywords: ترکیب عناصر محدود; Mixed finite elements; Approximation spaces; Hdiv spaces; Manifold domain
A novel mixed finite element for finite anisotropic elasticity; the SKA-element Simplified Kinematics for Anisotropy
Keywords: ترکیب عناصر محدود; Mixed finite elements; Anisotropic hyperelasticity; SKA-element; Lagrange-multiplier
A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem
Keywords: ترکیب عناصر محدود; 65N30; 65N12; 76D07; 65N15; Brinkman equation; Darcy equation; Vorticity-based formulation; Mixed finite elements; Error analysis; Viscous and non-viscous flows;
A new stabilization technique for the nonconforming Crouzeix–Raviart element applied to linear elasticity
Keywords: ترکیب عناصر محدود; Elasticity equations; Mixed finite elements; Crouzeix–Raviart element; Nonconforming method; Korn’s inequality
Stress-accurate Mixed FEM for soil failure under shallow foundations involving strain localization in plasticity
Keywords: ترکیب عناصر محدود; Strain softening; Strain localization; Local plasticity models; Mixed finite elements; Slip lines; Shear bands; Shallow foundations; Soil failure; Von Mises; Drucker–Prager
Static analysis of shear flexible beams and frames in adhesive contact with an isotropic elastic half-plane using a coupled FE–BIE model
Keywords: ترکیب عناصر محدود; Soil–structure interaction; Plane strain; Plane stress; Two-dimensional half-space; Green’s function; Mixed finite elements; Timoshenko beam; Locking-free finite element
A stabilized mixed finite element method based on g-biorthogonal systems for nearly incompressible elasticity
Keywords: ترکیب عناصر محدود; Mixed finite elements; Displacement-based formulation; Petrov–Galerkin discretization; Biorthogonal system
Large scale micro finite element analysis of 3D bone poroelasticity
Keywords: ترکیب عناصر محدود; Poroelasticity; Mixed finite elements; Flexible GMRES; Preconditioning; Symmetric indefinite systems;
A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems
Keywords: ترکیب عناصر محدود; 65N30; 65N12Elasticity; Three-field formulation; Biorthogonal system; Mixed finite elements; A priori estimate
New stable mixed finite element approximations for problems in linear elasticity
Keywords: ترکیب عناصر محدود; Three-field formulation; Hu–Washizu; Mixed finite elements; Incompressible elasticity; Uniform convergence
An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations
Keywords: ترکیب عناصر محدود; Stokes equations; Vorticity-based formulation; Mixed finite elements; Error analysis
A symmetric hybrid formulation for transient wave simulations in PML-truncated heterogeneous media
Keywords: ترکیب عناصر محدود; Unsplit-field perfectly matched layers; Hybrid formulation; Mixed finite elements; Transient wave propagation; Semi-infinite domains;
Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution
Keywords: ترکیب عناصر محدود; Stokes problem; Mixed finite elements; Exact mass conservation; Spectral elements; Mimetic discretization
Interfacial shear stress analysis of bar and thin film bonded to 2D elastic substrate using a coupled FE–BIE method
Keywords: ترکیب عناصر محدود; Thin film–substrate interaction; Mixed finite elements; Interfacial shear stress; Shear stress singularity factor; Green function
Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
Keywords: ترکیب عناصر محدود; Navier–Stokes equations; Mixed finite elements; Grad-div stabilization; Scott–Vogelius elements; Discrete mass conservation
Mixed finite elements for numerical weather prediction
Keywords: ترکیب عناصر محدود; Mixed finite elements; Stability; Steady geostrophic states; Geophysical fluid dynamics; Numerical weather prediction;
Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations
Keywords: ترکیب عناصر محدود; Two-grid methods; Mixed finite elements; Navier-Stokes equations; Optimal error estimates;
Spurious inertial oscillations in shallow-water models
Keywords: ترکیب عناصر محدود; Geophysical fluid dynamics; Mixed finite elements; Spurious inertial modes
Goal-oriented error control in adaptive mixed FEM for Signorini’s Problem
Keywords: ترکیب عناصر محدود; Mixed finite elements; Contact problems; Goal-oriented error estimates
Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study
Keywords: ترکیب عناصر محدود; Solute transport; Heterogeneous soils; Galerkin finite elements; Mixed finite elements; Finite volumes; Numerical diffusion
Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials
Keywords: ترکیب عناصر محدود; Superconvergence; Maxwell’s equations; Metamaterials; Mixed finite elements
Numerical wave propagation for the triangular P1DG–P2 finite element pair
Keywords: ترکیب عناصر محدود; Mixed finite elements; Geophysical fluid dynamics; Rossby waves; Spurious modes; Numerical weather prediction
A new mixed finite element based on different approximations of the minors of deformation tensors
Keywords: ترکیب عناصر محدود; Mixed finite elements; Quasi-incompressible elasticity; Anisotropy; Polyconvexity
Mixed perfectly-matched-layers for direct transient analysis in 2D elastic heterogeneous media
Keywords: ترکیب عناصر محدود; Unsplit-field perfectly-matched-layers (PMLs); Mixed finite elements; Transient wave propagation; Semi-infinite domains
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
Keywords: ترکیب عناصر محدود; Navier-Stokes equations; Mixed finite elements; A posteriori error estimates; Spatial semidiscrete approximations; Fully discrete approximations;
The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
Keywords: ترکیب عناصر محدود; Incompressible nonlinear elasticity; Stability; NURBS-based isogeometric analysis; Stream function formulation; Mixed finite elements
A strongly conservative finite element method for the coupling of Stokes and Darcy flow
Keywords: ترکیب عناصر محدود; Stokes flow; Darcy flow; Beavers–Joseph–Saffman condition; Finite element method; Mixed finite elements; Discontinuous Galerkin; Multiphysics