scientific article

Publication date: 1977

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

reduced integration hybrid methods infinite domains non-conforming elements convective transport computer procedures substitute shape functions boundary solution processes complete field and interface variable flow of viscous fluids Lagrangian constraints in energy principles singularity in fracture mechanics

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)

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Three-dimensional shells, Least squares finite element approximation of Navier's equation, Fundamental theory of the semi-radial singularity mapping with applications to fracture mechanics, Contribution to free boundary problems using boundary elements: Trefftz approach, A four-noded thin-plate bending element using shear constraints - A modified version of Lyons' element, Finite element analysis of reinforced and prestressed concrete structures including thermal loading, Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear, An integral equation approach for simultaneous solution of rectangular hole and rectangular block problems, Application of the Petrov-Galerkin method to chemical-flooding reservoir simulation in one dimension, Determining invertible two and three dimensional quadratic isoparametric finite element transformations, Symmetric Gaussian quadrature formulae for tetrahedronal regions, Hourglass control in linear and nonlinear problems, Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements, A three-node Mindlin plate element with improved transverse shear, On the construction of optimal mixed finite element methods for the linear elasticity problem, On stress computation in displacement finite element models, A two-level iteration method for solution of contact problems, Low frequency electromagnetic field computation in three dimensions, Dynamic stability of periodic solutions of large scale nonlinear systems, Microcrack-induced damage accumulation in brittle rock under dynamic loading, Moderate-degree tetrahedral quadrature formulas, Convergent thin-shell models using Cartesian components of the displacements, Transient analysis of flexible multi-body systems. I. Dynamics of flexible bodies, An assesment of higher-order isoparametric elements for solving an elastic problem, Special purpose computer for nonlinear differential equations, Analysis of traffic flow by the finite element method, A new mixed formulation for 2D incompressible flows, Three-dimensional stress singularities in anisotropic materials and composites, Some integration formulas for a four-node isoparametric element, A segregated formulation of Navier-Stokes equations with finite elements, On the magneto-hydrodynamic flow past a rotating disk in a fluid-particle suspension with a circular magnetic field, Geometry cells and surface definition by finite elements, Analysis of free-surface flows past overflow gates using finite element method, Tensor-orientierte Formulierung nichtlinearer, finiter Schalenelemente, Diagonalisierende Integration bei gemischten Funktionalen, Numerical analysis of state of stress of multilayer anisotropic shells according to hybrid model of finite elements, Multilevel Sequential Monte Carlo with Dimension-Independent Likelihood-Informed Proposals, Optimal shape design of axisymmetric structures subject to asymmetric loading, Unnamed Item, Gauss Legendre-Gauss Jacobi quadrature rules over a tetrahedral region, Approximate solutions for axisymmetric exterior-field problems by the combined scheme of finite elements and finite differences, A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures, A note on direct methods for approximations of sparse Hessian matrices, Special multivariate quadratic spline space, Optimization analysis of the three‐level time schemes, High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions, On a highly accurate computational scheme for the approximate analysis of shear-flexible anisotropie plates, Interpolation function of a general triangular mid-edge finite element, Parameter identification of two-dimensional distributed systems, A Monte Carlo simulation method for non-random vibration analysis, Analysis and identification of distributed systems via the combined method utilizing the finite element technique and orthogonal function expansions, Multi-field variational formulations and mixed finite element approximations for electrostatics and magnetostatics, Unconditionally stable FEM for transient linear heat conduction analysis, TWO‐DIMENSIONAL PROCESS SIMULATION USING A QUADRATIC FINITE ELEMENT DISCRETIZATION, Unnamed Item, Solving of multi-connected curvilinear boundary value problems by the fast PIES, Finite volume method for coupled subsurface flow problems. II: Poroelasticity, An edge center-based strain-smoothing triangular and tetrahedral element for analysis of elasticity, Sparse variational Bayesian approximations for nonlinear inverse problems: applications in nonlinear elastography, Finite‐deformation interface formulation for frictionless contact problems, Nonlocal kernel network (NKN): a stable and resolution-independent deep neural network, Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics, Fast FE-BEM algorithms for orthotropic frictional contact, Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error, Dynamic high order numerical manifold method based on weighted residual method, Computational simulation of chemical dissolution-front instability in fluid-saturated porous media under non-isothermal conditions, Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity, A quasi-optimal coarse problem and an augmented Krylov solver for the variational theory of complex rays, A locking-free FEM for cavitation computation in nearly incompressible nonlinear elasticity, Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation, Distributed finite element structural analysis using the client–server model, Phenomenological invariants and their application to geometrically nonlinear formulation of triangular finite elements of shear deformable shells, A non-ordinary state-based peridynamic method to model solid material deformation and fracture, Computational simulation for the morphological evolution of nonaqueous phase liquid dissolution fronts in two-dimensional fluid-saturated porous media, A spatially adaptive grid refinement scheme for the finite element solution of a second order obstacle problem, Improved Bilinear Degenerated Shell Element, Computational Methods for Simulating Some Typical Problems in Computational Geosciences, A NEW EXPLICIT TIME INTEGRATION METHOD FOR STRUCTURAL DYNAMICS, CAPABILITY TO CAPTURE DYNAMIC LOADING IN LINEAR DYNAMIC ANALYSIS OF SINGLE DEGREE OF FREEDOM SYSTEMS, Corotational Formulation for Geometric Nonlinear Analysis of Shell Structures by ANDES Elements, THE VARIATIONAL THEORY OF COMPLEX RAYS FOR THREE-DIMENSIONAL HELMHOLTZ PROBLEMS, Hybrid Finite Element Method and Variational Theory of Complex Rays for Helmholtz Problems, Unnamed Item, Fundamentals on Infinite-Domain Interpolations, Intersection curves of surfaces, A general multi‐axle vehicle model to study the bridge‐vehicle interaction, Comparison of finite element methods for the diffusion problem, A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions, Finite element method by using quartic B-splines, An EBE finite element method for simulating nonlinear flows in rotating spheroidal cavities, A new elasticity and finite element formulation for different Young’s modulus when tension and compression loadings, Stability problems in continuum mechanics and their numerical computation, Centrifugal load and its effects on bending strength and contact strength of a high speed thin-walled spur gear with offset web, Free-form shell analysis by a mixed-hybrid finite element approach, On Hamiltonian Particle Dynamics, Numerical solution of mixed boundary value problem for some nonlinear elliptic equation, Wittrick–Williams algorithm proof of bracketing and convergence theorems for eigenvalues of constrained structures with positive and negative penalty parameters, A simple approach to bifurcation and limit point calculations, Equivalence between mixed models and displacement models sing reduced integration, An improved three-noded triangular element for plate bending, A six-node finite element for plate bending, Superelastic shell structures modelling. I: Element formulation, Finite element modelling of rock alteration and metamorphic process in hydrothermal systems, Unnamed Item, Inverse-Average-Type Finite Element Discretizations of Selfadjoint Second-Order Elliptic Problems, INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS, BÉZIER CURVES IN THE MODELING OF BOUNDARY GEOMETRY FOR 2D BOUNDARY PROBLEMS DEFINED BY HELMHOLTZ EQUATION, Coons-patch macroelements in two-dimensional parabolic problems, Integration-free Coons macroelements for the solution of 2D Poisson problems, Development of a 3D Parallel Finite Element Monte Carlo Simulator for Nano-MOSFETs, Elastic stiffness of straight-sided triangular finite elements by analytical and numerical integration, An explicit method with improved stability property, Particle simulation of spontaneous crack generation associated with the laccolithic type of magma intrusion processes, Dye visualization near a three-dimensional stagnation point: application to the vortex breakdown bubble, [https://portal.mardi4nfdi.de/wiki/Publication:3893440 Zum Einflu� der Verschiebungsabh�ngigkeit ungleichf�rmigen hydrostatischen Druckes auf das Ausbeulen d�nner Schalen allgemeiner Form], A universal three-dimensional instability of the wakes of two-dimensional bluff bodies, Thek-Version Finite Element Method for Singular Boundary-Value Problems with Application to Linear Fracture Mechanics, On the Application of Two Symmetric Gauss Legendre Quadrature Rules for Composite Numerical Integration Over a Tetrahedral Region, The use of pseudo-inertia in asymptotic modelling of constraints in boundary value problems, Finite element approximation of electromagnetic fields in three dimensional space, Galerkin's finite element formulation of the system of fourth-order boundary-value problems, A finite element computer model of the hole pressure problem, A family of quadrilateral hybrid-Trefftz \(p\)-elements for thick plate analysis, Automated Finite Element Analysis of Complex Dynamics of Primary System Traversed by Oscillatory Subsystem, Transient Analysis of Rubber Extrusion by the Finite Element Method, Mathematical models arising from a survey of ferromagnetic materials under magnetisation, Theoretical analyses of nonaqueous phase liquid dissolution-induced instability in two-dimensional fluid-saturated porous media, Méthode d'éléments finis pour le modèle des plaques en flexion de Naghdi-Reissner, Suitability of three-dimensional finite elements for modelling material incompressibility using exact integration, Variational validation of a membrane finite element with drilling rotations, A new plate shell element of 16 nodes and 40 degrees of freedom by relative displacement method, Viscous flow through a rotating square channel, Accelerated ‘relaxation’ or direct solution? Future prospects for fem, The use of negative penalty functions in constrained variational problems, Dynamic Stability of Fluttered Systems Subjected to Parametric Random Excitations, Oberflächenberechnung geradverzahnter Kegelräder mit Hilfe der Kugelgeometrie, MATRIX EQUATION OF HEAT FLOW IN RANDOM CONDITIONS, Hybrid Lagrangian–Eulerian Method-Based CFSD Development, Application, and Analysis, Simulations of the EW undular bore, A note on incorporation of domain decomposition into the differential quadrature method, An approach to coupled thermal hydraulics and structural mechanics problems for the MEGAPIE spallation source target, A Degenerated Plane Truss Model of Base Force Element Method on Complementary Energy Principle, Analysis of box-like structures using 3-D Coons' interpolation, A Unified and General Framework for Enriching Finite Element Approximations, Efficient fundamental solution based finite element for 2-D dynamics, The consistent boundary element method for potential and elasticity. I: Formulation and convergence theorem, Two families of two‐dimensional finite element interpolation functions of general degree with general continuity, Three‐dimensional spline scaled boundary finite elements with high‐order completeness, An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions, A generalized Newton–Raphson method using curvature, Frame Invariance and Scalability of Neural Operators for Partial Differential Equations, Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem, Axisymmetric and in-plane transient responses of multilayered transversely isotropic poroelastic media, Indirect boundary element formulation with dual reciprocity in elastodynamics, Unnamed Item, A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints, Nonlinear dynamic response of functionally graded material plates using a high‐order implicit algorithm, Local existence of solutions to a nonlinear autonomous PDE model for population dynamics with nonlocal transport and competition, Line follower for finite element postprocessing and current imaging, Holographic entanglement entropy of local quenches in AdS4/CFT3: a finite-element approach, A fractional step method for mass transport in groundwater, Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study, FREE VIBRATION ANALYSIS OF CROSS-PLY LAYERED COMPOSITE BEAMS WITH FINITE LENGTH ON ELASTIC FOUNDATION, An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model, AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM, Finite element modeling of fluid-rock interaction problems in pore-fluid saturated hydrothermal/sedimentary basins., From finite differences to finite elements. A short history of numerical analysis of partial differential equations, Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation, THREE-DIMENSIONAL SURFACE CRACK ANALYSIS OF ELASTIC HALF-SPACE UNDER ROLLING CONTACT LOAD, General complete Lagrange interpolations with applications to three-dimensional finite element analysis, A finite element analysis on fluid motion in librating triaxial ellipsoids, Numerical stability in the calculation of eigenfrequencies using integral equations, Application of vector calculus to numerical simulation of continuum mechanics problems, Application of homology theory to topology optimization of three-dimensional structures using genetic algorithm, Convergence of the space-time element method with rectangular elements, Potential problems with polygonal boundaries by a BEM with parametric linear functions, The use of negative penalty functions in solving partial differential equations, A new application of percolation theory for coupled transport phenomena through porous media, MODELING AND PARAMETRIC STUDY OF A FABRIC DRAPE, High accuracy analysis of elliptic eigenvalue problem for the Wilson nonconforming finite element, Galerkin's finite element formulation of the second-order boundary-value problems, A local support-operators diffusion discretization scheme for hexahedral meshes, Solitary waves induced by the boundary forced EW equation, Numerical hydrodynamics in general relativity, The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems., Nonlinear three-dimensional finite element modeling of radial tires., First-order stochasticity in boundary geometry: A computer algebra BE development, Solid finite elements through three decades., On the use of heat transfer correlations for internal surfaces in the ASTEC code, Visualization of Unsteady Creeping Viscous Flows Using Vector Products, Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity, Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks, On Brake Pad Shim Characterization: a Homogenization Approach and Finite Element Analysis, Natural cubic element formulation and infinite domain modelling for potential flow problems, Solution of two-dimensional Poisson problems in quadrilateral domains using transfinite Coons interpolation, A family of noniterative integration methods with desired numerical dissipation, Unnamed Item, A least-squares finite element scheme for the RLW equation, An asymptotic formula for correcting finite element predicted natural frequencies of membrane vibration problems, A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems, A first look on 3D effects in open axion haloscopes