scientific article; zbMATH DE number 3574872

zbMath0368.65008MaRDI QIDQ4144698

Philippe Clément

Publication date: 1975

Full work available at URL: https://eudml.org/doc/193271

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation by other special function classes (41A30)

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Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model, A C1-P2 finite element without nodal basis, Stability of the Stokes projection on weighted spaces and applications, A posteriori error estimation and adaptivity for degenerate parabolic problems, Finite element approximation for equations of magnetohydrodynamics, A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem, An adaptive finite element method for a time‐dependent Stokes problem, Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation, A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra, Anisotropic polygonal and polyhedral discretizations in finite element analysis, Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods, A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations, An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation, A total variation diminishing interpolation operator and applications, Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials, An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations, A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations, An Adaptive Multiscale Finite Element Method, Convergence of nonconforming multigrid methods without full elliptic regularity, Error estimates for 3-d narrow finite elements, Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations, A posteriori error estimates for nonlinear problems. $L^r$-estimates for finite element discretizations of elliptic equations, A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-newtonian flow, Analysis of a Combined CG1-DG2 Method for the Transport Equation, Finite Element Approximation of the $p(\cdot)$-Laplacian, Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set, Two-level additive Schwarz preconditioners for plate elements, Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities, Convergence of adaptive finite element methods for a nonconvex double-well minimization problem, Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications, Error Control and Andaptivity for a Phase Relaxation Model, Convergence and quasi-optimality of an adaptive continuous interior multi-penalty finite element method, Analysis of the heterogeneous multiscale method for elliptic homogenization problems, Robusta posteriorierror estimates for finite element discretizations of the heat equation with discontinuous coefficients, Finite element methods for the displacement obstacle problem of clamped plates, AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property, Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities, A mixed finite element method for Darcy’s equations with pressure dependent porosity, A Posteriori Error Estimation and Adaptive Algorithm for Atomistic/Continuum Coupling in Two Dimensions, New fully-mixed finite element methods for the Stokes-Darcy coupling, On the Error Analysis of Stabilized Finite Element Methods for the Stokes Problem, A Priori Anisotropic Mesh Adaptation on Implicitly Defined Surfaces, Piecewise affine approximations for functions of bounded variation, A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows, Adaptive stabilized mixed finite volume methods for the incompressible flow, Localization of elliptic multiscale problems, Local bounded cochain projections, Analysis of Generalized Newtonian Fluids, Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens, High-order sonic boom modeling based on adaptive methods, A posteriori error analysis for a new fully mixed isotropic discretization of the stationary Stokes-Darcy coupled problem, A posteriori error analysis for a Lagrange multiplier method for a Stokes/Biot fluid-poroelastic structure interaction model, Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow, Error estimates for a mixed finite element approximation of the Stokes equations, The Benefits of Anisotropic Mesh Adaptation for Brittle Fractures Under Plane-Strain Conditions, CutFEM based on extended finite element spaces, Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods, Exponential meshes and \(\mathcal{H}\)-matrices, A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs, Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates, A div FOSLS method suitable for quadrilateral RT and hexahedral RTN \(H(\operatorname{div})\)-elements, A unified convergence analysis for local projection stabilisations applied to the Oseen problem, On the two-step BDF finite element methods for the incompressible Navier-Stokes problem under boundary conditions of friction type, Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra, Mixed finite element method for a second order Dirichlet boundary control problem, A priori and a posteriori error analysis for a hybrid formulation of a prestressed shell model, Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes, Numerical simulation of blood flows through a porous interface, A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems, A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate, Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions, Heuristic discrepancy principle for variational regularization of inverse problems, A Study of Prolongation Operators Between Non-nested Meshes, A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures, Finite element exterior calculus: from Hodge theory to numerical stability, Skipping transition conditions ina posteriorierror estimates for finite element discretizations of parabolic equations, A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators, Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $, Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems, A posteriori error estimates for mixed finite element solutions of convex optimal control problems, Variational Formulation of a Model Free-Boundary Problem, Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities, An adaptive stabilized finite element method for the generalized Stokes problem, Bivariate variational splines with monotonicity constraints, Finite elements for symmetric tensors in three dimensions, On the stability of the $L^2$ projection in $H^1(\Omega)$, Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for $H^1$-stability of the $L^2$-projection onto finite element spaces, An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio, An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation, Parameter identification for chemical models in combustion problems, Sharply local pointwise a posteriori error estimates for parabolic problems, Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces, Finite-element-based Faedo-Galerkin weak solutions to the Navier--Stokes equations in the three-dimensional torus are suitable, Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method, Approximation numérique de certaines équations paraboliques non linéaires, Space-time adaptive algorithm for the mixed parabolic problem, Approximation of time-dependent, multi-component, viscoelastic fluid flow, An analysis of some mixed-enhanced finite element for plane linear elasticity, Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity, Analysis of a finite element method for pressure/potential formulation of elastoacoustic spectral problems, Existence,a priorianda posteriorierror estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows, Finite-element discretizations of a two-dimensional grade-two fluid model, Error estimates for Landau-Lifshitz-Gilbert equation with magnetostriction, Local projection stabilization of equal order interpolation applied to the Stokes problem, Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions, Error Analysis of some Finite Element Methods for the Stokes Problem, Low-Rank Approximation of Elliptic Boundary Value Problems with High-Contrast Coefficients, Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D, Analysis on a finite volume element method for Stokes problems, A finite element discretization of the contact between two membranes, A posterior error estimator and lower bound of a nonconforming finite element method, Unified finite element discretizations of coupled Darcy-Stokes flow, A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem, Finite element differential forms on curvilinear cubic meshes and their approximation properties, A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation, FEM-BEM coupling for the large-body limit in micromagnetics, A posteriorierror analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems, Estimates of deviations from exact solutions for boundary-value problems with incompressibility condition, A two-level enriched finite element method for a mixed problem, Two-Level Defect-Correction Stabilized Finite Element Method for the Incompressible Navier–Stokes Equations Based on Pressure Projection, Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements, A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model, A posteriori error estimate for the symmetric coupling of finite elements and boundary elements, Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem, Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows, On a stabilized colocated Finite Volume scheme for the Stokes problem, A posteriori error estimate for the mixed finite element method, A residual basedA POSTERIORIerror estimator for an augmented mixed finite element method in linear elasticity, A posteriori error estimations of residual type for Signorini's problem, Finite element solution of quasistationary nonlinear magnetic field, Error indicators for the mortar finite element discretization of the Laplace equation, Positivity preserving finite element approximation

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