scientific article; zbMATH DE number 1227077
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zbMath0910.73003MaRDI QIDQ4220650
Publication date: 29 November 1998
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Boundary element methods applied to problems in solid mechanics (74S15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Finite element methods applied to problems in fluid mechanics (76M10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
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experiments ⋮ Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials ⋮ Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems ⋮ Enrichment of the nonconforming virtual element method with singular functions ⋮ A domain decomposition method for the Oseen-viscoelastic flow equations ⋮ Natural frequency analysis of shells of revolution based on hybrid dual-mixed \(hp\)-finite element formulation ⋮ A weak discrete maximum principle for \(hp\)-FEM ⋮ Modular hp-FEM system HERMES and its application to Maxwell's equations ⋮ A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow ⋮ Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM ⋮ Preconditioners for spectral element methods for elliptic and parabolic problems ⋮ Optimal extensions on tensor-product meshes ⋮ A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem ⋮ An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays ⋮ Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations ⋮ An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case ⋮ Exponential convergence in \(H^1\) of \textit{hp}-FEM for Gevrey regularity with isotropic singularities ⋮ An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays ⋮ Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains ⋮ An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations ⋮ Asymptotics of the generalized Gegenbauer functions of fractional degree ⋮ Residual-based a posteriori error estimation for \(hp\)-adaptive finite element methods for the Stokes equations ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces ⋮ A robust multigrid method for isogeometric analysis in two dimensions using boundary correction ⋮ Space-time isogeometric analysis of parabolic evolution problems ⋮ Using a DPG method to validate DMA experimental calibration of viscoelastic materials ⋮ The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes ⋮ Predictor-corrector \(p\)- and \(h p\)-versions of the finite element method for Poisson's equation in polygonal domains ⋮ Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations ⋮ Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts ⋮ A posteriori error estimation and adaptivity in \textit{hp} virtual elements ⋮ On capacity computation for symmetric polygonal condensers ⋮ Tensor FEM for spectral fractional diffusion ⋮ On \textit{hp} convergence of stabilized finite element methods for the convection-diffusion equation ⋮ Higher order cut finite elements for the wave equation ⋮ Conformal capacity and polycircular domains ⋮ Efficient multi-level \(hp\)-finite elements in arbitrary dimensions ⋮ Shape optimization for the strong routing of light in periodic diffraction gratings ⋮ High order approximations of the operator Lyapunov equation have low rank ⋮ Goal-oriented adaptive finite element methods for elliptic problems revisited ⋮ Time-stepping discontinuous Galerkin methods for fractional diffusion problems ⋮ Convergence theory for IETI-DP solvers for discontinuous Galerkin isogeometric analysis that is explicit in \(h\) and \(p\) ⋮ Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions ⋮ ℎ𝑝-Optimal discontinuous Galerkin methods for linear elliptic problems ⋮ A NEW INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR THE REISSNER–MINDLIN MODEL ⋮ hp-FEM for second moments of elliptic PDEs with stochastic data. II: Exponential convergence for stationary singular covariance functions ⋮ Generalized Finite Element Method in Mixed Variational Formulation: A Study of Convergence and Solvability ⋮ On Stability of Discretizations of the Helmholtz Equation ⋮ COMPUTATIONAL CONTACT MECHANICS BASED ON THE rp-VERSION OF THE FINITE ELEMENT METHOD ⋮ Basic principles of hp virtual elements on quasiuniform meshes ⋮ Discontinuous Galerkin Methods for Linear Problems: An Introduction ⋮ An interior point method designed for solving linear quadratic optimal control problems withhpfinite elements ⋮ An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels ⋮ Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport ⋮ Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension ⋮ Convergence of an adaptive \( hp\) finite element strategy in one space dimension ⋮ On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model ⋮ A Posteriori Error Estimation of $hp$-$dG$ Finite Element Methods for Highly Indefinite Helmholtz Problems ⋮ Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics ⋮ On the homogenization of the Helmholtz problem with thin perforated walls of finite length ⋮ A multigrid algorithm for the p-version of the virtual element method ⋮ Mass Smoothers in Geometric Multigrid for Isogeometric Analysis ⋮ Adaptive compression of large vectors ⋮ Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons ⋮ A semi‐local spectral/hp element solver for linear elasticity problems ⋮ Direct and inverse theorems of the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space ⋮ Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons ⋮ Angles between subspaces and nearly optimal approximation in GFEM ⋮ A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation ⋮ CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM ⋮ Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems ⋮ An operator-based local discontinuous Galerkin method compatible with the BSSN formulation of the Einstein equations ⋮ Uniformly stable mixedhp-finite elements on multilevel adaptive grids with hanging nodes ⋮ A matrix-free high-order solver for the numerical solution of cardiac electrophysiology ⋮ Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains ⋮ A p‐version finite element approach for two‐ and three‐dimensional problems of the J2 flow theory with non‐linear isotropic hardening ⋮ A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number ⋮ Free oscillations of an orthotropic conical shell ⋮ GENERALIZED FINITE ELEMENT METHOD ON NONCONVENTIONAL HYBRID-MIXED FORMULATION ⋮ Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes ⋮ Time-Parallel Iterative Solvers for Parabolic Evolution Equations ⋮ An h p -adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems ⋮ Numerical modeling of seismic waves by discontinuous spectral element methods ⋮ Sparse finite element approximation of high-dimensional transport-dominated diffusion problems ⋮ Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions ⋮ An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels ⋮ Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles ⋮ Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations ⋮ Imposing Boundary Conditions to Match a CAD Virtual Geometry for the Mesh Curving Problem ⋮ hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation ⋮ ENERGY NORM A POSTERIORI ERROR ESTIMATION FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS IN THREE DIMENSIONS ⋮ Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems ⋮ UNIFORM VALIDITY OF DISCRETE FRIEDRICHS' INEQUALITY FOR GENERAL NONCONFORMING FINITE ELEMENT SPACES ⋮ A mixed hybrid finite element method for the Helmholtz equation ⋮ The p‐version of the finite element method for three‐dimensional curved thin walled structures ⋮ Algebraic convergence for anisotropic edge elements in polyhedral domains ⋮ Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle ⋮ A posteriori error estimation of goal-oriented quantities for elliptic type BVPs ⋮ Stabilized hp-DGFEM for Incompressible Flow ⋮ New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials ⋮ A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems ⋮ Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package ⋮ Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems ⋮ On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes ⋮ Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves ⋮ Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation ⋮ $hp$-dGFEM for second-order mixed elliptic problems in polyhedra ⋮ Two-scale FEM for homogenization problems ⋮ hp-FEM for three-dimensional elastic plates ⋮ HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form ⋮ An explicit second order spectral element method for acoustic waves ⋮ A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement ⋮ An \(hp\) finite element adaptive scheme to solve the Poisson problem on curved domains ⋮ Goal-oriented model adaptivity for viscous incompressible flows ⋮ Arbitrary-level hanging nodes for adaptive \(hp\)-FEM approximations in 3D ⋮ Discontinuous Galerkin methods with Trefftz approximations ⋮ Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems ⋮ Plane wave discontinuous Galerkin methods: Analysis of theh-version ⋮ Approximation error estimates and inverse inequalities for B-splines of maximum smoothness ⋮ Element-wisea posteriori estimates based on hierarchical bases for non-linear parabolic problems ⋮ A general high‐order finite element formulation for shells at large strains and finite rotations ⋮ Hierarchic finite element bases on unstructured tetrahedral meshes ⋮ On higher-order mixed FEM for low Mach number flows: application to a natural convection benchmark problem ⋮ Condition number bounds for IETI-DP methods that are explicit in h and p ⋮ Duality-based adaptivity in the hp-finite element method ⋮ Substructuring preconditioners forh−pMortar FEM ⋮ Exponential Convergence of $hp$-Finite Element Discretization of Optimal Boundary Control Problems with Elliptic Partial Differential Equations ⋮ ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number ⋮ $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems ⋮ Hierarchical matrix approximation to Green's function via boundary concentrated FEM ⋮ A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations ⋮ High-Order Adaptive Galerkin Methods ⋮ Adaptive Spectral Galerkin Methods with Dynamic Marking ⋮ Moving mesh methods for Boussinesq equation ⋮ Improvements for some condition number estimates for preconditioned system inp-FEM ⋮ Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension ⋮ Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods ⋮ Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations ⋮ ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS ⋮ High-order finite elements applied to the discrete Boltzmann equation
