About: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Partial differential equations, boundary value problems
skos:prefLabel	有限元法, Rayleigh-Ritz法和Galerkin法, 有限法 Elementi finiti, metodi di Rayleigh-Ritz e di Galerkin, metodi finiti Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
skos:exactMatch	http://msc2010.org/resources/MSC/1991/65N30 http://msc2010.org/resources/MSC/2000/65N30
skos:notation	65N30
is Subject of	An adaptive finite element method for solving a double well problem describing crystalline microstructure Error estimates for some quasi-interpolation operators Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés Stability of microstructure for tetragonal to monoclinic martensitic transformations On the domain geometry dependence of the LBB condition Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem The mortar finite element method for Bingham fluids Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process Two-grid finite-element schemes for the transient Navier-Stokes problem HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form A finite element method for domain decomposition with non-matching grids Finite element methods on non-conforming grids by penalizing the matching constraint Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case Optimal control and numerical adaptivity for advection-diffusion equations Weighted regularization for composite materials in electromagnetism A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam The reduced order NS- α model for incompressible flow: theory, numerical analysis and benchmark testing Newton and conjugate gradient for harmonic maps from the disc into the sphere A strongly nonlinear problem arising in glaciology 3D domain decomposition method coupling conforming and nonconforming finite elements Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods Convergence analysis for an exponentially fitted Finite Volume Method On the Numerical Modeling of Deformations of Pressurized Martensitic Thin Films An implicit scheme to solve a system of ODEs arising from the space discretization of nonlinear diffusion equations Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows A posteriori error estimates for linear exterior problems via mixed-FEM and DtN mappings A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations Numerical solution of parabolic equations in high dimensions Stick-slip transition capturing by using an adaptive finite element method Coupling Darcy and Stokes equations for porous media with cracks Mixed finite element approximation for a coupled petroleum reservoir model A posteriori error estimates for a nonconforming finite element discretization of the heat equation Hexahedral H(div) and H(curl) finite elements Adaptive Crouzeix-Raviart boundary element method Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$- $\mathbb{P}_1$- $\mathbb{P}_0$ approximations A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case A Mixed Formulation of the Monge-Kantorovich Equations Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation Two-sided bounds of the discretization error for finite elements On the convergence of generalized polynomial chaos expansions Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms A piecewise P2-nonconforming quadrilateral finite element Quadratic finite elements with non-matching grids for the unilateral boundary contact On the convergence of the stochastic Galerkin method for random elliptic partial differential equations Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM A reduced model for Darcy’s problem in networks of fractures Basic principles of mixed Virtual Element Methods An augmented mixed-primal finite element method for a coupled flow-transport problem Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem A note on polynomial approximation in Sobolev spaces Interpolation of non-smooth functions on anisotropic finite element meshes A “Natural” Norm for the Method of Characteristics Using Discontinuous Finite Elements : 2D and 3D case Stabilization of Galerkin approximations of transport equations by subgrid modeling Optimal convergence rates of hp mortar finite element methods for second-order elliptic problems Hermite pseudospectral method for nonlinear partial differential equations Embedding and a priori wavelet-adaptivity for Dirichlet problems An analysis technique for stabilized finite element solution of incompressible flows Computing guided modes for an unbounded stratified medium in integrated optics Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids Two-scale FEM for homogenization problems A mixed-FEM and BEM coupling for a three-dimensional eddy current problem Zienkiewicz-Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments A Posteriori Error Estimates on Stars for Convection Diffusion Problem Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes Sparse finite element approximation of high-dimensional transport-dominated diffusion problems A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations High order transmission conditions for thin conductive sheets in magneto-quasistatics An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions A Multiscale Enrichment Procedure for Nonlinear Monotone Operators A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes Mimetic finite difference approximation of flows in fractured porous media A Reduced Basis Enrichment for the eXtended Finite Element Method Observations Regarding Algorithms Required for Robust CFD Codes A look at how LDG and BEM can be coupled Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra Mixed approximation of eigenvalue problems: A superconvergence result Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows Cell centered Galerkin methods for diffusive problems A numerical minimization scheme for the complex Helmholtz equation Numerical integration for high order pyramidal finite elements A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces

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