scientific article; zbMATH DE number 7045589
From MaRDI portal
Publication:4631548
zbMath1506.65001MaRDI QIDQ4631548
Publication date: 9 April 2019
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of partial differential operators (47F05) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)
Related Items (77)
An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence ⋮ MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell ⋮ Local L2-bounded commuting projections in FEEC ⋮ Coupled domain-boundary variational formulations for Hodge-Helmholtz operators ⋮ Computational Lower Bounds of the Maxwell Eigenvalues ⋮ Construction of polynomial preserving cochain extensions by blending ⋮ An Arbitrary Order and Pointwise Divergence-Free Finite Element Scheme for the Incompressible 3D Navier–Stokes Equations ⋮ A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem ⋮ Hybridization and postprocessing in finite element exterior calculus ⋮ Helicity-conservative finite element discretization for incompressible MHD systems ⋮ Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs ⋮ A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\) ⋮ Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes ⋮ A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics ⋮ A conservative finite element solver for the induction equation of resistive MHD: vector potential method and constraint preconditioning ⋮ An extended Galerkin analysis in finite element exterior calculus ⋮ Partially discontinuous nodal finite elements for \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) ⋮ A parallel eigensolver for photonic crystals discretized by edge finite elements ⋮ \(\Psi\text{ec}\): a local spectral exterior calculus ⋮ Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension ⋮ An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers ⋮ An arbitrary-order fully discrete Stokes complex on general polyhedral meshes ⋮ Compatible finite element methods for geophysical fluid dynamics ⋮ A lowest-degree conservative finite element scheme for incompressible Stokes problems on general triangulations ⋮ Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics ⋮ Bounded Poincaré operators for twisted and BGG complexes ⋮ Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications ⋮ A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations ⋮ A compatible mixed finite element method for large deformation analysis of two‐dimensional compressible solids in spatial configuration ⋮ Transformations for Piola-mapped elements ⋮ Finite element de Rham and Stokes complexes in three dimensions ⋮ \textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations ⋮ A mixed method for 3D nonlinear elasticity using finite element exterior calculus ⋮ A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes ⋮ A polytopal method for the Brinkman problem robust in all regimes ⋮ Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ The bubble transform and the de Rham complex ⋮ Semi-Lagrangian finite element exterior calculus for incompressible flows ⋮ An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency ⋮ Discrete differential geometry and its role in computational modeling of defects and inelasticity ⋮ Cohomology of the discrete de Rham complex on domains of general topology ⋮ Intrinsic nonlinear elasticity: an exterior calculus formulation ⋮ Nonconforming finite element Stokes complexes in three dimensions ⋮ A Family of Finite Element Stokes Complexes in Three Dimensions ⋮ Div–curl problems and H1‐regular stream functions in 3D Lipschitz domains ⋮ Virtual Element Methods Without Extrinsic Stabilization ⋮ A discrete elasticity complex on three-dimensional Alfeld splits ⋮ Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes ⋮ Data-driven Whitney forms for structure-preserving control volume analysis ⋮ Traces for Hilbert complexes ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ Finite element systems for vector bundles: elasticity and curvature ⋮ Parallelized discrete exterior calculus for three-dimensional elliptic problems ⋮ Hodge Laplacians on Graphs ⋮ Simple Curl-Curl-Conforming Finite Elements in Two Dimensions ⋮ Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains ⋮ A new Hodge operator in discrete exterior calculus. Application to fluid mechanics ⋮ New degrees of freedom for high-order Whitney approximations of Darcy's flows ⋮ A guide to the finite and virtual element methods for elasticity ⋮ Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra ⋮ A hybrid high-order method for the incompressible Navier-Stokes problem robust for large irrotational body forces ⋮ Error analysis of a decoupled finite element method for quad-curl problems ⋮ Complexes from complexes ⋮ Trefftz co-chain calculus ⋮ Error Analysis of Energy-Preserving Mixed Finite Element Methods for the Hodge Wave Equation ⋮ Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus ⋮ Three families of grad div-conforming finite elements ⋮ Computing discrete harmonic differential forms in a given cohomology class using finite element exterior calculus ⋮ Virtual element methods for three-dimensional Hellinger-Reissner elastostatic problems ⋮ Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number ⋮ Discrete Hessian complexes in three dimensions ⋮ Numerical Analysis of a Discontinuous Galerkin Method for the Borrvall--Petersson Topology Optimization Problem ⋮ A pressure robust staggered discontinuous Galerkin method for the Stokes equations ⋮ H(curl2)-conforming quadrilateral spectral element method for quad-curl problems ⋮ First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains
This page was built for publication: